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Heat and thermodynamics

5 ECAT Physics questions with answers and explanations.

All questions with answers
  1. For a fixed mass of ideal gas in a rigid container, doubling the absolute temperature will:

    • 1 Halve the pressure
    • 2 Double the pressure
    • 3 Leave the pressure unchanged
    • 4 Quadruple the pressure
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    Correct answer: Double the pressure

    At constant volume, pressure is proportional to absolute temperature (Gay-Lussac's law).

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  2. What is the efficiency of a Carnot engine working between 500 K and 300 K?

    • 1 60%
    • 2 20%
    • 3 40%
    • 4 80%
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    Correct answer: 40%

    Efficiency = 1 - T_cold / T_hot = 1 - 300/500 = 0.4, which is 40%.

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  3. The average kinetic energy of the molecules of an ideal gas is proportional to:

    • 1 Pressure
    • 2 Absolute temperature
    • 3 Volume
    • 4 Mass of the gas
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    Correct answer: Absolute temperature

    The mean kinetic energy per molecule equals 3/2 kT, where T is the absolute temperature.

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  4. How much heat is needed to melt 0.5 kg of ice at 0 degrees C? (Latent heat of fusion = 334 kJ/kg)

    • 1 167 kJ
    • 2 334 kJ
    • 3 668 kJ
    • 4 83.5 kJ
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    Correct answer: 167 kJ

    Q = mL = 0.5 x 334 = 167 kJ.

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  5. In an isothermal process for an ideal gas, the change in internal energy is:

    • 1 Positive
    • 2 Negative
    • 3 Zero
    • 4 Equal to the work done on the gas
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    Correct answer: Zero

    Internal energy of an ideal gas depends only on temperature, and the temperature does not change.

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