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Question 31036
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Kinetic Theory and Thermodynamics: Specific Heat MCQ

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Specific HeatHardQuestion 31036

Question

For ideal gas, Cp − Cv = R. This is because:
  1. A
    Pressure does not change
  2. B
    At constant pressure, extra heat goes into PV work during expansion
    Correct
  3. C
    Cv includes rotational modes
  4. D
    Cp is always larger for historical reasons

Correct answer

At constant pressure, extra heat goes into PV work during expansion

Explanation

At constant P, gas must expand when heated. Extra work done = PΔV = nRΔT. Per mole, this extra heat per degree = R. So Cp = Cv + R.

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