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Match List-I with List-II regarding the molar heat capacity ( C ) of an ideal gas for different thermodynamic processes. List-I (Process) List-II (Molar heat capacity) A. Isothermal I. Zero B. Adiabatic II. Infinity C. Isobaric III. C_p D. Isochoric IV. C_v Choose the correct answer from the options given below:

Options

  1. AA-I, B-II, C-III, D-IV
  2. BA-II, B-I, C-IV, D-III
  3. CA-I, B-II, C-IV, D-III
  4. DA-II, B-I, C-III, D-IV

Correct answer

D. A-II, B-I, C-III, D-IV

Step-by-step solution

Molar heat capacity is defined as C = Q n T . For an isothermal process, the temperature is constant ( T = 0 ), so C . For an adiabatic process, there is no heat exchange ( Q = 0 ), so C = 0 . For an isobaric process, the heat capacity at constant pressure is C_p . For an isochoric process, the heat capacity at constant volume is C_v . Thus, the correct matching is A-II, B-I, C-III, D-IV. Answer: A-II, B-I, C-III, D-IV

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