Rankers Physics
Topic: Thermal Physics

When volume changes from $V$ to $2V$ at constant pressure $P$, then the change in internal energy will be: (1998)
$PV$
$3PV$
$\frac{PV}{\gamma-1}$
$\frac{RV}{\gamma-1}$

Solution:

Work done $\Delta W = P(2V - V) = PV$. Heat supplied $\Delta Q = n C_p \Delta T = \frac{\gamma PV}{\gamma-1}$. Thus, change in internal energy $\Delta U = \Delta Q - \Delta W = \frac{PV}{\gamma-1}$.

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