If the ratio of specific heat of a gas at constant pressure to that at constant volume is $\gamma $, the change in internal energy of a mass of gas, when the volume changes from $V$ to $2V$ constant pressure $ p$, is
AIPMT 1998, Medium
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(c) $\Delta U = \mu {C_V}\Delta T = n\,\left( {\frac{R}{{\gamma - 1}}} \right)\Delta T$
$ \Rightarrow \Delta U = \frac{{P\Delta V}}{{(\gamma - 1)}} = \frac{{P(2V - V)}}{{\gamma - 1}} = \frac{{PV}}{{(\gamma - 1)}}$
$ \Rightarrow \Delta U = \frac{{P\Delta V}}{{(\gamma - 1)}} = \frac{{P(2V - V)}}{{\gamma - 1}} = \frac{{PV}}{{(\gamma - 1)}}$
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