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Which of the following statements is false about the molar heat capacity of the ideal gas?

(A) It is zero for an adiabatic process (B) It is infinte for an isothermal process (C) depends only on the nature of the gas for a process in which either volume or pressure is constant (D) none of these

1 Answer

$nC\Delta T = \Delta Q \rightarrow C = \large\frac{\Delta Q}{n \Delta T}$
For an adiabatic process, $\Delta Q =0$, so heat capacity has to be zero.
For an isothermal process, $\Delta T = 0$, so heat capacity is infinite as no finite heat capacity will result in heat change, and also it depends on the nature of the gas and process.
Therefore, (D) is the appropriate answer.
answered Jan 22, 2014 by balaji.thirumalai

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