c
Internal energy of a system is the energy possessed by the system due to molecular motion and molecular configuration.
Internal energy $u=u_{k}+u_{p}$
For an ideal gas there is no molecular attraction $u_{p}=0$
$\therefore$ Internal energy $\mathrm{u}=\mathrm{u}_{\mathrm{k}}$
$(i.e.,\, internal\, kinetic\, energy)$
and $u=u_{k}=\frac{3}{2} \mu R T$
At constant pressure $(\Delta \mathrm{Q})_{\mathrm{P}}=\mu \mathrm{C}_{\mathrm{p}} \Delta \mathrm{T}$
At constant volume $(\Delta \mathrm{Q})_{\mathrm{v}}=\mu \mathrm{C}_{\mathrm{v}} \Delta \mathrm{T}$
$\mathrm{AsC}_{\mathrm{P}}>\mathrm{C}_{\mathrm{V}} \quad \therefore \quad(\Delta \mathrm{T})_{\mathrm{P}}<(\Delta \mathrm{T})_{\mathrm{V}}$