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A-level Physics




   Unit G484:
   The Newtonian
   World



   Specific heat capacity


Thermal physics
Internal energy recall                      LOs




   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?




Thermal physics
Lesson focus
  • Specific heat capacity


  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.




Thermal physics
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.




Thermal physics
Specific heat capacity                                              LOs




    Definition

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


                                               where, c        -   specific heat capacity
                                                      m        -   mass
                                                      ΔE       -   energy supplied
                                                      Δθ       -   temperature change
         i.e.        E = mc Δθ




Thermal physics                           LO 1: define and apply the concept of specific heat capacity
Measuring the SHC of water                                         LOs




    electrical energy =   energy gained
    supplied              by water

 i.e.   E = IVt           E = mcΔθ

                  IVt = mcΔθ
                           E
                   c =
                          mΔθ

   We need to know
   • The energy supplied (E)
   • The mass of water (m)
   • The temperature change (Δθ)


                                            LO 3: describe an electrical experiment to determine
Thermal physics                                     the specific heat capacity of a solid or liquid.
Measuring the SHC of a metal                                              LOs




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


                                                 LO 3: describe an electrical experiment to determine
Thermal physics                                          the specific heat capacity of a solid or liquid.
Measuring the SHC of a metal                                                  LOs


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


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

                                                     LO 3: describe an electrical experiment to determine
Thermal physics                                              the specific heat capacity of a solid or liquid.
Measuring the SHC of a metal                                             LOs




 8. Use E = m c Θ to calculate the
    specific thermal capacity, c, of your                                           thermometer

    block. Compare your answer with a data       immersion
    book value.                                    heater


 9. Was your calculated value of specific                                                 lagging
    thermal capacity too high or too low?           solid
                                                    block
    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?




                                                LO 3: describe an electrical experiment to determine
Thermal physics                                         the specific heat capacity of a solid or liquid.
Measuring the SHC of a metal                                               LOs




 Analysis
 • Plot a graph to find c.
                                                                                      thermometer
 • Plot a second graph of temperature (y-axis)
                                                   immersion
   vs time (x-axis). Comment on the shape of         heater
   the graph. What does the graph tell you?

 • Compare your experimental value of c with                                                lagging
                                                      solid
   the published value. Is it too high or too         block
   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
Thermal physics                                           the specific heat capacity of a solid or liquid.
Measuring the SHC of a metal                                                  LOs




  Time/s    Current/A   Voltage/V   Temperature/ C      Total energy          Temperature
                                                        supplied/J            change ( ) / C




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




                                                     LO 3: describe an electrical experiment to determine
Thermal physics                                              the specific heat capacity of a solid or liquid.
Measuring the SHC of a metal                                               LOs




 Analysis
 • Plot a graph to find c.                                                    thermometer

 • Plot a second graph of temperature (y-axis)    immersion
                                                    heater
   vs time (x-axis). Comment on the shape of
   the graph. What does the graph tell you?                                        lagging
                                                     solid
                                                     block
 • 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
Thermal physics                                           the specific heat capacity of a solid or liquid.
G482 Jan., 2010 Q5              Using ΔE = mcΔΘ                                        LOs




     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.



Thermal physics                                    LO2: select and use the equation E = mcΔθ
G482 Jan., 2010 Q5   Using ΔE = mcΔΘ                                 LOs




Examiners’ report




Thermal physics                  LO2: select and use the equation E = mcΔθ
Using ΔE = mcΔΘ                                           LOs




    Oxford University entrance exam for physics, 2008




Thermal physics                                         LO2: select and use the equation E = mcΔθ
Oxford
  University
  entrance
  exam for
  physics,
  2008
Thermal physics

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Tp 13 specific heat capacity (shared)

  • 1. A-level Physics Unit G484: The Newtonian World Specific heat capacity Thermal physics
  • 2. Internal energy recall LOs 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? Thermal physics
  • 3. Lesson focus • Specific heat capacity 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. Thermal physics
  • 4. 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. Thermal physics
  • 5. Specific heat capacity LOs Definition The amount of energy needed to raise the temperature of 1 kg of a substance by one degree celsius (or one kelvin). where, c - specific heat capacity m - mass ΔE - energy supplied Δθ - temperature change i.e. E = mc Δθ Thermal physics LO 1: define and apply the concept of specific heat capacity
  • 6. Measuring the SHC of water LOs electrical energy = energy gained supplied by water i.e. E = IVt E = mcΔθ IVt = mcΔθ E c = mΔθ We need to know • The energy supplied (E) • The mass of water (m) • The temperature change (Δθ) LO 3: describe an electrical experiment to determine Thermal physics the specific heat capacity of a solid or liquid.
  • 7. Measuring the SHC of a metal LOs 1. Insert a thermometer and the immersion heater into their respective holes in the block. You may wish to drop thermometer a small amount of oil into the immersion thermometer hole to improve the heater thermal contact between thermometer and block. lagging solid 2. Allow the thermometer to reach block 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. LO 3: describe an electrical experiment to determine Thermal physics the specific heat capacity of a solid or liquid.
  • 8. Measuring the SHC of a metal LOs 4. Turn on the current, noting the time if you are measuring energy using an ammeter and a voltmeter to record power. thermometer 5. Energy = current x potential difference x time. immersion heater Monitor and note the meter readings as the energy is supplied. They may change slightly as lagging things warm up. solid block 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? LO 3: describe an electrical experiment to determine Thermal physics the specific heat capacity of a solid or liquid.
  • 9. Measuring the SHC of a metal LOs 8. Use E = m c Θ to calculate the specific thermal capacity, c, of your thermometer block. Compare your answer with a data immersion book value. heater 9. Was your calculated value of specific lagging thermal capacity too high or too low? solid block 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? LO 3: describe an electrical experiment to determine Thermal physics the specific heat capacity of a solid or liquid.
  • 10. Measuring the SHC of a metal LOs Analysis • Plot a graph to find c. thermometer • Plot a second graph of temperature (y-axis) immersion vs time (x-axis). Comment on the shape of heater the graph. What does the graph tell you? • Compare your experimental value of c with lagging solid the published value. Is it too high or too block 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 Thermal physics the specific heat capacity of a solid or liquid.
  • 11. Measuring the SHC of a metal LOs Time/s Current/A Voltage/V Temperature/ C Total energy Temperature supplied/J change ( ) / C If E = m c q what graph should you plot to find c? LO 3: describe an electrical experiment to determine Thermal physics the specific heat capacity of a solid or liquid.
  • 12. Measuring the SHC of a metal LOs Analysis • Plot a graph to find c. thermometer • Plot a second graph of temperature (y-axis) immersion heater vs time (x-axis). Comment on the shape of the graph. What does the graph tell you? lagging solid block • 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 Thermal physics the specific heat capacity of a solid or liquid.
  • 13. G482 Jan., 2010 Q5 Using ΔE = mcΔΘ LOs 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. Thermal physics LO2: select and use the equation E = mcΔθ
  • 14. G482 Jan., 2010 Q5 Using ΔE = mcΔΘ LOs Examiners’ report Thermal physics LO2: select and use the equation E = mcΔθ
  • 15. Using ΔE = mcΔΘ LOs Oxford University entrance exam for physics, 2008 Thermal physics LO2: select and use the equation E = mcΔθ
  • 16. Oxford University entrance exam for physics, 2008 Thermal physics