A monoatomic gas at pressure $p_1$ and $V_1$ is compressed adiabatically to $\frac{1}{8}$ th its original volume. What is the final pressure of the gas?

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Aicharya · Accepted Answer

$\quad \mathrm{p}_1 \mathrm{~V}_1^{5 / 3}=\mathrm{p}^{\prime}\left(\frac{\mathrm{V}_1}{8}ight)^{5 / 3}$ $\begin{aligned} p^{\prime} & =p_1(8)^{5 / 3} \ & =p_1 	imes 2^5 \ p^{\prime} & =32 p_1 \end{aligned}$

A monoatomic gas at pressure $p_1$ and $V_1$ is compressed adiabatically to $\frac{1}{8}$ th its original…

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