JEE Physics · Hard

Kinetic Theory and Thermodynamics: PV Diagrams Advanced MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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PV Diagrams AdvancedHardQuestion 31084

Question

For an ideal gas undergoing polytropic process PVⁿ = constant, specific heat C is:
  1. A
    Cv
  2. B
    Cp
  3. C
    Cv(γ−n)/(1−n)
    Correct
  4. D
    Cp(n−γ)/(n−1)

Correct answer

Cv(γ−n)/(1−n)

Explanation

For polytropic process, C = Cv(γ−n)/(1−n). When n=0 (isobaric): C=Cp. When n=∞ (isochoric): C=Cv. When n=1 (isothermal): C=∞. When n=γ (adiabatic): C=0.