Adiabatic Processes and Numericals

25 MCQs This test covers the adiabatic equation PV^γ = constant, γ = Cp/Cv, adiabat versus isotherm, examples of adiabatic change, and PV = Nk_BT with its numericals. It also covers the first law in the human body, petrol and diesel engine efficiency, and mixed first-law, gas-law and entropy numericals.

MCQs

25 questions · 20 min · 25 marks

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Sample questions

The first 5 of 25. Try each one, then tap to see the answer.

  1. Question 1

    The equation describing an adiabatic process of an ideal gas is:

    • APV = constant
    • BPV^γ = constant
    • CP/V^γ = constant
    • DP^γ V = constant
    Show answer

    Answer: B

    For an adiabatic process of an ideal gas PV^γ = constant.

  2. Question 2

    In the adiabatic equation γ is the ratio:

    • ACv/Cp
    • BCp x Cv
    • CCp/Cv
    • DCp - Cv
    Show answer

    Answer: C

    γ is the ratio of the specific heat at constant pressure to that at constant volume.

  3. Question 3

    The value of γ for a gas is always:

    • AEqual to 1
    • BLess than 1
    • CZero
    • DGreater than 1
    Show answer

    Answer: D

    Cp is greater than Cv so γ = Cp/Cv is greater than 1.

  4. Question 4

    On a P-V diagram an adiabat is steeper than an isotherm because:

    • AIn an adiabatic change the temperature also changes so pressure changes more for the same volume change
    • BIn an isothermal change no work is done
    • CAn adiabat has constant pressure
    • DAn isotherm involves no gas
    Show answer

    Answer: A

    During adiabatic expansion the gas cools (and during compression it heats) so pressure changes more than at constant temperature.

  5. Question 5

    At the same point on a P-V diagram the magnitude of the slope of the adiabat compared with the isotherm is:

    • AEqual
    • Bγ times larger
    • Cγ times smaller
    • DZero
    Show answer

    Answer: B

    The isotherm slope is -P/V and the adiabat slope is -γP/V.

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