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Thermal physics A-level Physics Unit G484: The Newtonian World Specific heat capacity

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Page 1: Tp 13 specific heat capacity (shared)

Thermal physics

A-level Physics

Unit G484: The Newtonian World

Specific heat capacity

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Thermal physics

Questions

1. Define internal energy (U).

2. Explain how internal energy can be changed and write an

expression linking U to these mechanisms.

3. Imagine I have two blocks of aluminium and supply 1000 J of

thermal energy to each. The rise in temperature of the two blocks

is different. What is the simplest explanation for this?

4. I have two pieces of metal with the same mass. 1000 J of thermal

energy is supplied to both but, again, the temperature increases

are different. Why?

Internal energy recall LOs

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Learning objectives

At the end of the lesson you will be able to:

• define and apply the concept of specific heat capacity;

• select and use the equation E = mcΔθ ;

• describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Lesson focus• Specific heat capacity

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Learning outcomes

All of you should be able to• give a full definition of the SHC of a substance;• recall the equation for SHC;• carry out the practical activity efficiently and safely.

Most of you will be able to• identify significant sources of experimental error;• suggest appropriate improvements to the experimental method.

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Definition

The amount of energy needed to raise the temperature of 1 kg of a substance by one degree celsius (or one kelvin).

LO 1: define and apply the concept of specific heat capacity

Specific heat capacity LOs

i.e. E = mc Δθ

hence, c = where, c -specific heat capacity

m - massΔE -

energy suppliedΔθ -

temperature change

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i.e. E = IVt E = mcΔθ

IVt = mcΔθ

c =

electrical energy supplied

= energy gained by water

We need to know

• The energy supplied (E)

• The mass of water (m)

• The temperature change (Δθ)

EmΔθ

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Measuring the SHC of water LOs

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1. Insert a thermometer and the immersion heater into their respective holes in the block. You may wish to drop a small amount of oil into the thermometer hole to improve the thermal contact between thermometer and block.

2. Allow the thermometer to reach thermal equilibrium and then write down the temperature.

3. Set up a suitable circuit that will enable you to measure the energy input to the heater.

solid block

lagging

immersion heater

thermometer

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Measuring the SHC of a metal LOs

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4. Turn on the current, noting the time if you are measuring energy using an ammeter and a voltmeter to record power.

5. Energy = current x potential difference x time. Monitor and note the meter readings as the energy is supplied. They may change slightly as things warm up.

6. Allow the block to heat up by about 10 °C, then turn off the current and note the time again.

7. At this point, keep watching the thermometer. The temperature at the turn-off time is not the appropriate final temperature to record. What do you think is the appropriate final temperature?

solid block

lagging

immersion heater

thermometer

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Measuring the SHC of a metal LOs

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8. Use E = m c Θ to calculate the specific

thermal capacity, c, of your block.

Compare your answer with a data book

value.

9. Was your calculated value of specific

thermal capacity too high or too low?

Which of the measurements you made

is likely to be the one most in error? In

which direction is it in error, and why

might this be?

solid block

lagging

immersion heater

thermometer

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Measuring the SHC of a metal LOs

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Thermal physics

solid block

lagging

immersion heater

thermometer

Analysis

• Plot a graph to find c.

• Plot a second graph of temperature (y-axis) vs time (x-axis). Comment on the shape of the graph. What does the graph tell you?

• Compare your experimental value of c with the published value. Is it too high or too low? Explain the reason for the difference.

Evaluation

• Identify possible sources of error. Which of these errors is the most important?

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Measuring the SHC of a metal LOs

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Thermal physics

Time/s Current/A Voltage/V Temperature/°C Total energy supplied/J

Temperature change () / °C

If E = m c q what graph should you plot to find c?

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Measuring the SHC of a metal LOs

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Thermal physics

solid block

lagging

immersion heater

thermometer

LO 3: describe an electrical experiment to determine the specific heat capacity of a solid or liquid.

Analysis

• Plot a graph to find c.

• Plot a second graph of temperature (y-axis) vs time (x-axis). Comment on the shape of the graph. What does the graph tell you?

• Compare your experimental value of c with the published value. Is it too high or too low? Explain the reason for the difference.

Evaluation

• Identify possible sources of error. Which of these errors is the most important?

Measuring the SHC of a metal LOs

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Using ΔE = mcΔΘ LOs

LO2: select and use the equation E = mcΔθ

G482 Jan., 2010 Q5

Extension

In measurements of the SHC of a metal, energy losses to the surroundings are a source of error. Is this a systematic or random error? Justify your answer.

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Thermal physics

LO2: select and use the equation E = mcΔθ

Examiners’ report

Using ΔE = mcΔΘ LOsG482 Jan., 2010 Q5

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Thermal physics

LO2: select and use the equation E = mcΔθ

Oxford University entrance exam for physics, 2008

Using ΔE = mcΔΘ LOs

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Oxford University entrance exam for physics, 2008