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(D) The molar specific heat of a gas is defined as $C = \frac{dQ}{n dT}$.For an adiabatic process (no heat exchange),$dQ = 0$,so $C_A = 0$.For an isot

Vedclass · Accepted Answer

Specific heat at constant volume,$C_V=\frac{R}{\gamma}$

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(D) The molar specific heat of a gas is defined as $C = \frac{dQ}{n dT}$.For an adiabatic process (no heat exchange),$dQ = 0$,so $C_A = 0$.For an isothermal process (constant temperature),$dT = 0$,so $C_T = \frac{dQ}{0} = \infty$.For an isobaric process (constant pressure),$C_P = \frac{\gamma R}{\gamma - 1}$.For an isochoric process (constant volume),$C_V = \frac{R}{\gamma - 1}$.Comparing these with the given options,the statement $C_V = \frac{R}{\gamma}$ is incorrect because the correct formula is $C_V = \frac{R}{\gamma - 1}$.Therefore,the correct option is $D$.

Select the incorrect statement about the specific heats of a gaseous system.

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