The initial pressure and volume of an ideal gas are P$_0$ and V$_0$. The final pressure of the gas when the gas is suddenly compressed to volume $\frac{V_0}{4}$ will be : (Given $\gamma$ = ratio of specific heats at constant pressure and at constant volume)

Question

The initial pressure and volume of an ideal gas are P$_0$ and V$_0$. The final pressure of the gas when the gas is suddenly compressed to volume $\frac{V_0}{4}$ will be :

(Given $\gamma$ = ratio of specific heats at constant pressure and at constant volume)

P$_0$(4)$^{\frac{1}{\gamma}}$

P$_0$

4P$_0$

P$_0$(4)$^{\gamma}$

Solution

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