A monoatomic gas having $\gamma=\frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to $\left(\frac{1}{8} ight)^{ ext {th }}$ of its initial volume. The ratio of final pressure and initial pressure is: ( $\gamma$ is the ratio of specific heats of the gas…

Question

A monoatomic gas having $\gamma=\frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to $\left(\frac{1}{8}ight)^{	ext {th }}$ of its initial volume. The ratio of final pressure and initial pressure is: ( $\gamma$ is the ratio of specific heats of the gas at constant pressure and at constant volume)

Aicharya · Accepted Answer

$\begin{aligned} & P_i V_i^\gamma=P_f V_f^\gamma \ & \frac{P_f}{P_i}=\left(\frac{V_i}{V_f}ight)^\gamma=(8)^{5 / 3} \ & \frac{P_f}{P_i}=32\end{aligned}$

A monoatomic gas having $\gamma=\frac{5}{3}$ is stored in a thermally insulated container and the gas is…

Solution