Match List-I with List-II regarding the molar heat capacity ( C )...

Molar heat capacity is defined as $C = \dfrac{\Delta Q}{n \Delta T}$.

For an isothermal process, the temperature is constant ($\Delta T = 0$), so $C \to \infty$.

For an adiabatic process, there is no heat exchange ($\Delta Q = 0$), 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