Download - Agenda: 4/22
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Agenda: 4/22• Gases & Gas Laws• Purpose: To use mathematical formulas to predict how a gas will change
• Warm-up: Stoichiometry Problems with Gases• States of Matter• Kinetic Molecular Theory• Measurements used in Gas
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3
Essential to Stoichiometry Set-up of problems
Given: Amount &
Unit
Do I need to convert the
given to moles?
Mole Ratio Do I need to convert from
moles to another unit?
Unknown:Unit
The mole ratio is the heart of the stoichiometry calculation
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Stoichiometry Calculations
4
Mole Ratio
Mole________Mole
Mole Mole
X
Mass Volume of a Gas
Particles
Volume of a Gas
Mass
Particles
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Stoichiometry Problem• To produce ammonia, nitrogen gas reacts with hydrogen
gas. • Write the balanced chemical equation:
• Calculate: • How many liters of ammonia will be produced if there are
10 moles of nitrogen gas (and plenty of hydrogen gas for the reaction to proceed)?
• How many liters of hydrogen gas will be needed to react with 25 liters of nitrogen gas?
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GASESUnit 8Essential Standards: 2.1.5Chapters 13 & 14
Purpose: To use mathematical formulas to predict how a gas will change
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GAS LAWS (FORMULAS)
-Gas molecules act in orderly and predictable ways.
- We can use mathematical formulas to predict what they will do when
we change Temperature, Pressure, or Amount.
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Review: What are gases? Describe the location & movement of the particles at each state of matter?
How are gases different?
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What are gases? How are they different?Describe the gases in terms of size and type of compound (bond type).
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Elements that exist as gases at 250C and 1 atmosphere
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Differentiating gases from solids and liquids
• Kinetic Molecular Theory• or “Why solids, liquids and gases behave as they do”
• How are gases different?
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Differentiating gases from solids and liquids• Kinetic Molecular Theory
• or “Why solids, liquids and gases behave as they do”
• All matter is made of __________________and these are always in _________________. - Temperature determines the ____________of the ___________________.There are 3 states of matter on earth: _______,________________, __________________.
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Gas Behavior – Kinetic Molecular Theory
• http://ed.ted.com/lessons/describing-the-invisible-properties-of-gas-brian-bennett
• 5 characteristics of gases1. - 2. -3. - 4. -5. -
http://education-portal.com/academy/lesson/the-kinetic-molecular-theory-properties-of-gases.html#lesson
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Chemical particles (atoms, molecules, or compounds) act differently when they are in different states of matter
PHET – States of Matter – Basicshttps://phet.colorado.edu/en/simulation/states-of-matter-basicsAnimation – http://www.pbs.org/wgbh/nova/physics/states-of-matter.htmlIncludes Temperature & Pressure; Water, Carbon dioxide and hydrogen gas
animationsHeating curveKMT- SolidKMT-Liquid KMT- Gas
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Ways we measure gases:
Abbreviation Measurement
Volume
Temperature
Number or quantity – atoms or molecules
Pressure
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Gas Temperature: Always use KelvinCelcius Kelvin
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Temperature Conversions• Convert 25.0℃ to Kelvin
• Convert 375K to ℃
• Convert -50℃ to K
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Pressure • http://www.dlt.ncssm.edu/Tiger/chem3.htm• http://
education-portal.com/academy/lesson/pressure-and-temperature-conversions.html#lesson
AnimationAtmospheric pressure
You Tube – Atmospheric Pressurehttp://www.youtube.com/watch?v=xJHJsA7bYGc
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Sea level 1 atm
4 miles 0.5 atm
10 miles 0.2 atm
Air Pressure of the Atmosphere
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Units of Pressure
1 atm = 760 mmHg = 760 torr
1 atm = 101 kPa (101,325 Pa)
Barometer
Pressure = ForceArea
Or 760 mm of Mercury
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Measuring Pressure: UnitsUnit Unit name STP:
Measurement at sea level & 0°C
Mm Hg Mm Mercury 760 mm Hg
Atm atomospheres 1 atm
kPa kiloPascals 101 kPa
Torr Torr 760 torr
PSI*Tire pressure
Pounds per square inch
14.7 psi
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STP = Standard Temperature & PressureWhat does the chemistry reference table tell you? • STP= 1 atm at 0°C or _________ K• = __________mm Hg• = __________ KPa• = __________ torr
Standard Molar Volume of a Gas: 1 mole = ______ Liter(volume occupied by one mole of any gasat STP = ______ Liter)
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Pressure Conversions
• Convert 98.35 kPa to atm
• Convert 745 mm Hg to atm
• Convert 740 mm Hg to kPa
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GAS LAWSShows the relationship of volume. Temperature, pressure and quantity of molecules in mathematical terms
Gases act in predictable ways so we can use
mathematical formulas to determine how they act
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http://phet.colorado.edu/en/simulation/gas-properties
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Three Major Laws
Combined Gas Law P₁V₁= P₂V₂ T₁ T₂
Ideal Gas Law PV = nRT
•Dalton’s Law of Partial Pressure Ptotal = P₁+P₂+P₃+Petc.
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“A Rational Equation” means an equation which uses ________.
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Isolating the Unknown Variable
P₁V₁ = P₂V₂ T₁ T₂
We can slide diagonally across the equal sign without changing the mathematical relationship.
Need variable cards
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Isolating the Unknown Variable
P₁V₁ = P₂V₂ T₁ T₂
We can slide diagonally across the equal sign without changing the mathematical relationship.
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Isolating the Unknown Variable
P₁V₁ = P₂V₂ T₁ T₂
We can slide diagonally across the equal sign without changing the mathematical relationship.
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Isolating the Unknown Variable
P₁V₁ = P₂V₂ T₁ T₂
We can slide diagonally across the equal sign without changing the mathematical relationship.
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Combined Gas Law
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Combined Gas Law
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Combined Gas Law: Example
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
A gas at 110 kPa and 30℃ fills a flexible container with an initial volumeOf 2.00L. If the temperature is raised to 80℃ and the pressure increasedTo 440 kPa, what is the new volume?
Answer: 0.58L
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Constant variable Changing variables Law
Temperature Boyles
Pressure Charles
Volume Gay-Lussac
Combined Gas Law P₁V₁= P₂V₂ T₁ T₂
Keeping one variable constant:
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Boyles’ Law Animation• http://
group.chem.iastate.edu/Greenbowe/sections/projectfolder/flashfiles/gaslaw/boyles_law_graph.html
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Boyles’ Law: Vary P & VUses: bicycle pump; syringe for injections; popping a balloon by squeezing; Scuba diving: increase in bubble size as rise to surface of water Others?
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Boyles’ Law: ExampleA cylinder of oxygen has a volume of 2.0L. The pressure of the gas is 10 atm at 0℃. What will be the volume at STP?
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Boyles’ Law: Practice Problems
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Boyles’ Law: Practice Problems
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Charles’ Law – animation
• http://group.chem.iastate.edu/Greenbowe/sections/projectfolder/flashfiles/gaslaw/charles_law.html
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http://phet.colorado.edu/en/simulation/gas-properties
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Charles’ Law: Vary V & TUses: Hot Air Balloons
Decorating with party balloons; Cooked turkey monitor/device; Playing basketball on a cold day
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Charles’ Law: Practice Problems
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Charles’ Law: Practice Problems
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Gay Lussac’s Law: Vary P and TUses: Heating cans (soup, spray); Pop corn;
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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http://phet.colorado.edu/en/simulation/gas-properties
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Gay Lussac’s Law: Practice Problems
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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Gay Lussac’s Law: Practice Problems
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
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COMBINED GAS LAW
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Combined Gas Law
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
A balloon is partially filled with helium on the ground in the mountains (temp.is 22°C and the pressure is 740 torr. At these conditions, the volume is 10 m³.If released, what would be the volume in m³ at an altitude 5300 m where the pressure is 370 torr and the temperature is - 23°C?
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Combined Gas Law
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
The volume of a gas is 27.5 mL at 22°C and 0.974 atm. What will the volume be at 15°C and 0.993 atm?
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Combined Gas Law
Initial condition(1) Final condition (2)
Pressure
Volume
Temp. K
P₁V₁ = P₂V₂ T₁ T₂
A 700 mL gas sample at STP is compressed to a volumeof 200mL and the temperature is increased to 30°C. What is the new pressure of the gas?
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P₁ V₁ T₁ P₂ V₂ T₂1.5 atm 3.0L 20°C 2.5 atm ? 30°C
Combined Gas Law
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Ideal Gas LawUse when________ is included.
• Formula: PV = nRTP = V= n= R= 0.0821 L∙atm mol∙KT=
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Ideal Gas Law• Formula: PV = nRTWhat is the pressure exerted by a 0.5 mol sample of N₂ gas in a 10L container at 278K?
P = V= n= R= 0.0821 L∙atm mol∙KT=
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Ideal Gas Law
• Formula: PV = nRTHow many moles of O₂ will occupy a volume of 2.5L at 1.2 atm and 25°C?
P = V= n= R= 0.0821 L∙atm mol∙KT=
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Ideal Gas Law: PV = nRTWhat volume will 2 mol of N₂ gas occupy at 720 torr and 20°C?
P = V= n= R= 0.0821 L∙atm mol∙KT=
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Ideal Gas Law: PV = nRTAt what temperature will 5 grams of Cl₂ gas exert with a pressure of 900 mm Hg and volume of 750 mL?
P = V= n= R= 0.0821 L∙atm mol∙KT=
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Dalton’s Law of Partial Pressure
• Mixture of gases (no reaction takes place)
• What is the total blood gas pressure for a person having CO₂ partial pressure of 60.1 mm Hg and an O₂ partial pressure of 39.2 mm Hg?
Ptotal = P₁+P₂+P₃+Petc.
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Dalton’s Law of Partial Pressures
V and T are
constant
P1 P2 Ptotal = P1 + P2
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Avogadro’s Law
V a number of moles (n)
V = constant x n
V1/n1 = V2/n2
Constant temperatureConstant pressure
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• Animation – • http://
www.pbs.org/wgbh/nova/physics/states-of-matter.html• Includes Temperature & Pressure; Water, Carbon dioxide
and hydrogen gas
• DiscoveryEd video: Kinetic Molecular Theory• Kinetic_Molecular_Theory.wmv
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• http://education-portal.com/academy/course/general-chemistry-course.html