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Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 17.2 Measuring and 17.2 Measuring and Expressing Enthalpy Expressing Enthalpy Changes Changes 1 > > Chapter 17 Thermochemistry 17.1 The Flow of Energy 17.2 Measuring and Expressing Enthalpy Changes 17.3 Heat in Changes of State 17.4 Calculating Heats of Reactio

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Page 1: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

1

gtgt

Chapter 17Thermochemistry

171 The Flow of Energy

172 Measuring and Expressing Enthalpy Changes

173 Heat in Changes of State174 Calculating Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

2

gtgt

How can you measure the amount of heat released when a match burns

CHEMISTRY amp YOUCHEMISTRY amp YOU

Remember The concept of specific heat allows you to measure heat flow in chemical and physical processes

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

3

gtgt CalorimetryCalorimetry

Calorimetry

How can you measure the change in enthalpy of a reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

4

gtgt CalorimetryCalorimetry

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processes

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

5

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull In a calorimetry experiment involving an

endothermic process the heat absorbed by the system is equal to the heat released by its surroundings

bull In an exothermic process the heat released by the system is equal to the heat absorbed by its surroundings

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

6

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull The insulated device used to measure the

absorption or release of heat in chemical or physical processes is called a calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 2: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

2

gtgt

How can you measure the amount of heat released when a match burns

CHEMISTRY amp YOUCHEMISTRY amp YOU

Remember The concept of specific heat allows you to measure heat flow in chemical and physical processes

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

3

gtgt CalorimetryCalorimetry

Calorimetry

How can you measure the change in enthalpy of a reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

4

gtgt CalorimetryCalorimetry

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processes

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

5

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull In a calorimetry experiment involving an

endothermic process the heat absorbed by the system is equal to the heat released by its surroundings

bull In an exothermic process the heat released by the system is equal to the heat absorbed by its surroundings

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

6

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull The insulated device used to measure the

absorption or release of heat in chemical or physical processes is called a calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 3: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

3

gtgt CalorimetryCalorimetry

Calorimetry

How can you measure the change in enthalpy of a reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

4

gtgt CalorimetryCalorimetry

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processes

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

5

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull In a calorimetry experiment involving an

endothermic process the heat absorbed by the system is equal to the heat released by its surroundings

bull In an exothermic process the heat released by the system is equal to the heat absorbed by its surroundings

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

6

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull The insulated device used to measure the

absorption or release of heat in chemical or physical processes is called a calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 4: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

4

gtgt CalorimetryCalorimetry

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processes

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5

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull In a calorimetry experiment involving an

endothermic process the heat absorbed by the system is equal to the heat released by its surroundings

bull In an exothermic process the heat released by the system is equal to the heat absorbed by its surroundings

CalorimetryCalorimetry

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6

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull The insulated device used to measure the

absorption or release of heat in chemical or physical processes is called a calorimeter

CalorimetryCalorimetry

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7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

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10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

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11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 5: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

5

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull In a calorimetry experiment involving an

endothermic process the heat absorbed by the system is equal to the heat released by its surroundings

bull In an exothermic process the heat released by the system is equal to the heat absorbed by its surroundings

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

6

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull The insulated device used to measure the

absorption or release of heat in chemical or physical processes is called a calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 6: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

6

gtgt

Calorimetry is the measurement of the heat flow into or out of a system for chemical and physical processesbull The insulated device used to measure the

absorption or release of heat in chemical or physical processes is called a calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 7: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

7

gtgt

Constant-Pressure Calorimeters

Foam cups can be used as simple calorimeters because they do not let much heat in or out

bull Most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere and thus occur at constant pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 8: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

8

gtgt

Constant-Pressure Calorimeters

The enthalpy (H) of a system accounts for the heat flow of the system at constant pressure

bull The heat absorbed or released by a reaction at constant pressure is the same as the change in enthalpy symbolized as ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

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10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

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gtgt

END OF 172END OF 172

Page 9: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

9

gtgt

Constant-Pressure Calorimeters

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at constant pressure

bull In this textbook the terms heat and enthalpy change are used interchangeably

bull In other words q = ΔH

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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55

gtgt

END OF 172END OF 172

Page 10: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

10

gtgt

Constant-Pressure Calorimeters

bull To measure the enthalpy change for a reaction in aqueous solution in a foam cup calorimeter dissolve the reacting chemicals (the system) in known volumes of water (the surroundings)

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 11: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

11

gtgt

Constant-Pressure Calorimeters

bull Measure the initial temperature of each solution and mix the solutions in the foam cup

bull After the reaction is complete measure the final temperature of the mixed solutions

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 12: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

12

gtgt

Constant-Pressure Calorimeters

You can calculate the heat absorbed or released by the surroundings (qsurr) using the formula for the specific heat the initial and final temperatures and the heat capacity of water

qsurr = m C ΔT

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 13: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

13

gtgt

Constant-Pressure Calorimeters

qsurr = m C ΔT

bull m is the mass of the water

bull C is the specific heat of water

bull ΔT = Tf ndash Ti

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 14: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

14

gtgt

Constant-Pressure Calorimeters

The heat absorbed by the surroundings is equal to but has the opposite sign of the heat released by the system

qsurr = ndashqsys

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 15: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

15

gtgt

Constant-Pressure Calorimeters

The enthalpy change for the reaction (ΔH) can be written as follows

qsys = ΔH = ndashqsurr = ndashm C ΔT

bull The sign of ΔH is positive for an endothermic reaction and negative for an exothermic reaction

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

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47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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55

gtgt

END OF 172END OF 172

Page 16: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

16

gtgt

Constant-Volume Calorimeters

Calorimetry experiments can also be performed at a constant volume using a device called a bomb calorimeter

CalorimetryCalorimetry

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17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 17: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

17

gtgt

Constant-Volume CalorimetersIn a bomb calorimeter a sample of a compound is burned in a constant-volume chamber in the presence of oxygen at high pressure

CalorimetryCalorimetry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 18: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

18

gtgt CalorimetryCalorimetry

Constant-Volume Calorimetersbull The heat that is

released warms the water surrounding the chamber

bull By measuring the temperature increase of the water it is possible to calculate the quantity of heat released during the combustion reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 19: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

19

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 20: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

20

gtgt

What type of calorimeter would you use to measure the heat released when a match burns Describe the experiment and how you would calculate the heat released

CHEMISTRY amp YOUCHEMISTRY amp YOU

A constant-volume or bomb calorimeter would be used to measure the heat released when a match burns The match would be ignited in the chamber By measuring the temperature increase in the water and using the equation q = ndashm C ΔT the heat released q can be calculated

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 21: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

21

gtgt

When 250 mL of water containing 0025 mol HCl at 250degC is added to 250 mL of water containing 0025 mol NaOH at 250degC in a foam-cup calorimeter a reaction occurs Calculate the enthalpy change (in kJ) during this reaction if the highest temperature observed is 320degC Assume that the densities of the solutions are 100 gmL and the volume of the final solution is equal to the sum of the volumes of the reacting solutions

Sample Problem 173Sample Problem 173

Enthalpy Change in a Calorimetry Experiment

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 22: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

22

gtgt

Analyze List the knowns and the unknown1

bull Use dimensional analysis to determine the mass of the water

bull You must also calculate ΔT

bull Use ΔH = ndashqsurr = ndashm C ΔT to solve for ΔH

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 23: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

23

gtgt

Analyze List the knowns and the unknown1

KNOWNS UNKNOWN

Cwater = 418 J(gdegC)

Vfinal = VHCl + VNaOH

= 250 mL + 250 mL = 500 mL

Ti = 250degC

Tf = 320degC

densitysolution = 100 gmL

ΔH = kJ

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 24: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

24

gtgt

First calculate the total mass of the water

Calculate Solve for the unknown2

mwater = 500 mL = 500 g1 mL

100 g

Assume that the densities of the solutions are 100 gmL to find the total mass of the water

Sample Problem 173Sample Problem 173

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 25: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

25

gtgt

Now calculate ΔT

Calculate Solve for the unknown2

ΔT = Tf ndash Ti = 320degC ndash 250degC = 70degC

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 26: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

26

gtgt

Use the values for mwater Cwater and ΔT to calculate ΔH

Calculate Solve for the unknown2

Use the relationship 1 kJ = 1000 J to convert your answer from J to kJ

Sample Problem 173Sample Problem 173

ΔH = ndashqsurr = ndashmwater Cwater ΔT

= ndash(500 g)(418 J(goC))(70degC)

= ndash1500 J = ndash15 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 27: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

27

gtgt

bull The temperature of the solution increases which means that the reaction is exothermic and thus the sign of ΔH should be negative

bull About 4 J of heat raises the temperature of 1 g of water 1degC so 200 J of heat is required to raise 50 g of water 1degC Raising the temperature of 50 g of water 7degC requires about 1400 J or 14 kJ

bull This estimated answer is very close to the calculated value of ΔH

Evaluate Does the result make sense3

Sample Problem 173Sample Problem 173

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 28: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

28

gtgt

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 29: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

29

gtgt

ΔH = ndashm C ΔT

= ndash367 g 418 J(gdegC) (87degC ndash 24degC)

= ndash97000 J = ndash97 kJ

The initial temperature of the water in a constant-pressure calorimeter is 24degC A reaction takes place in the calorimeter and the temperature rises to 87degC The calorimeter contains 367 g of water which has a specific heat of 418 J(gdegC) Calculate the enthalpy change during this reaction

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 30: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

30

gtgtThermochemical Thermochemical EquationsEquations

Thermochemical Equations

How can you express the enthalpy change for a reaction in a chemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 31: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

31

gtgtThermochemical Thermochemical EquationsEquations

In a chemical equation the enthalpy change for the reaction can be written as either a reactant or a product

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 32: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

32

gtgtThermochemical Thermochemical EquationsEquations

In the equation describing the exothermic reaction of calcium oxide and water the enthalpy change can be considered a product

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

Calcium oxide is one of the components of cement

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 33: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

33

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s) + 652 kJ

A chemical equation that includes the enthalpy change is called a thermochemical equation

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 34: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

34

gtgtThermochemical Thermochemical EquationsEquations

The heat of reaction is the enthalpy change for the chemical equation exactly as it is writtenbull Heats of reaction are reported as ΔH

bull The physical state of the reactants and products must also be given

bull The standard conditions are that the reaction is carried out at 1013 kPa (1 atm) and 25degC

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 35: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

35

gtgtThermochemical Thermochemical EquationsEquations

CaO(s) + H2O(l) rarr Ca(OH)2(s)

Each mole of calcium oxide and water that reacts to form calcium hydroxide produces 652 kJ of heat

ΔH = ndash652 kJ

bull In exothermic processes the chemical potential energy of the reactants is higher than the chemical potential energy of the products

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 36: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

36

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Baking soda (sodium bicarbonate) decomposes when it is heated This process is endothermic

Heats of Reaction

The carbon dioxide released in the reaction causes muffins to rise while baking

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 37: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

37

gtgtThermochemical Thermochemical EquationsEquations

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) + CO2(g)

Heats of Reaction

Remember that ΔH is positive for endothermic reactions Therefore you can write the reaction as follows

2NaHCO3(s) rarr Na2CO3(s) + H2O(l) + CO2(g) ΔH = 85 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 38: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

38

gtgtThermochemical Thermochemical EquationsEquations

The amount of heat released or absorbed during a reaction depends on the number of moles of the reactant involved

bull The decomposition of 2 mol of sodium bicarbonate requires 85 kJ of heat

bull Therefore the decomposition of 4 mol of the same substance would require twice as much heat or 170 kJ

Heats of Reaction

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 39: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

39

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 40: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

40

gtgtThermochemical Thermochemical EquationsEquations

Heats of ReactionTo see why the physical state of the reactants and products must be stated compare the following two equations

bull The vaporization of 1 mol of liquid water to water vapor at 25degC requires 440 kJ of heat

H2O(l) rarr H2O(g) ΔH = 440 kJ

difference = 440 kJ

H2O(l) rarr H2(g) + O2(g) ΔH = 2858 kJ 1 2

H2O(g) rarr H2(g) + O2(g) ΔH = 2418 kJ 1 2

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 41: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

41

gtgt

Calculate the amount of heat (in kJ) required to decompose 224 mol NaHCO3(s)

Using the Heat of Reaction to Calculate Enthalpy Change

2NaHCO3(s) + 85 kJ rarr Na2CO3(s) + H2O(l) CO2(g)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 42: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

42

gtgt

Analyze List the knowns and the unknown1

KNOWNS

UNKNOWN

amount of NaHCO3(s) that decomposes = 224 mol

ΔH = 85 kJ for 2 mol NaHCO3

ΔH = kJ for 224 mol NaHCO3

Use the thermochemical equation to write a conversion factor relating kJ of heat and moles of NaHCO3 Then use the conversion factor to determine ΔH for 224 mol NaHCO3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 43: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

43

gtgt

Write the conversion factor relating kJ of heat and moles of NaHCO3

Calculate Solve for the unknown2

The thermochemical equation indicates that 85 kJ are needed to decompose 2 mol NaHCO3(s)

85 kJ2 mol NaHCO3(s)

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 44: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

44

gtgt

Using dimensional analysis solve for ΔH

Calculate Solve for the unknown2

Sample Problem 174Sample Problem 174

85 kJ2 mol NaHCO3(s)ΔH = 224 mol NaHCO3(s)

= 95 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 45: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

45

gtgt

bull The 85 kJ in the thermochemical equation refers to the decomposition of 2 mol NaHCO3(s)

bull Therefore the decomposition of 224 mol should absorb more heat than 85 kJ

bull The answer of 95 kJ is consistent with this estimate

Evaluate Does the result make sense3

Sample Problem 174Sample Problem 174

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 46: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

46

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionThe heat of combustion is the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 47: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

47

gtgtThermochemical Thermochemical EquationsEquations

Heats of CombustionSmall amounts of natural gas within crude oil are burned off at oil refineries

bull This is an exothermic reaction

bull Burning 1 mol of methane releases 890 kJ of heat

bull The heat of combustion (ΔH) for this reaction is ndash890 kJ per mole of methane burned

CH4(g) + 2O2(g) rarr CO2(g) + 2H2O(l) + 890 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 48: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

48

gtgt

Like other heats of reaction heats of combustion are reported as the enthalpy changes when the reactions are carried out at 1013 kPa and 25degC

Interpret DataInterpret Data

Heats of Combustion at 25degC

Substance Formula ΔH (kJmol)

Hydrogen H2(g) ndash286

CarbonC(s graphite)

ndash394

Methane CH4(g) ndash890

Acetylene C2H2(g) ndash1300

Ethanol C2H6O(l) ndash1368

Propane C3H8(g) ndash2220

Glucose C6H12O6(s) ndash2808

Octane C8H18(l) ndash5471

Sucrose C12H22O11(s) ndash5645

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 49: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

49

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 50: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

50

gtgt

Which of the following thermochemical equations represents an endothermic reaction

A Cgraphite(s) + 2 kJ Cdiamond(s)

B 2H2(g) + O2(g) 2H2O + 4836 kJ

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 51: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

51

gtgtKey Concepts amp Key Key Concepts amp Key EquationEquation

The value of ΔH of a reaction can be determined by measuring the heat flow of the reaction at a constant pressure

In a chemical equation the enthalpy change for the reaction can be written as either a reaction or a product

qsys = ΔH = ndashqsurr = ndashm C ΔT

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

54

gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

55

gtgt

END OF 172END OF 172

Page 52: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

Copyright copy Pearson Education Inc or its affiliates All Rights Reserved

172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

52

gtgt Glossary TermsGlossary Terms

bull calorimetry the precise measurement of heat flow out of a system for chemical and physical processes

bull calorimeter an insulated device used to measure the absorption or release of heat in chemical or physical processes

bull enthalpy (H) the heat content of a system at constant pressure

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gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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Page 53: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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172 Measuring and Expressing 172 Measuring and Expressing Enthalpy Changes Enthalpy Changes

53

gtgt Glossary TermsGlossary Terms

bull thermochemical equation a chemical equation that includes the enthalpy change

bull heat of reaction the enthalpy change for a chemical equation exactly as it is written

bull heat of combustion the heat of reaction for the complete burning of one mole of a substance

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gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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gtgt

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Page 54: 17.2 Measuring and Expressing Enthalpy Changes 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 17 Thermochemistry

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gtgt

The heat of reaction or process can be determined experimentally through calorimetry

BIG IDEABIG IDEA

Matter and Energy

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