JEE MAIN - Physics (2022 - 26th July Morning Shift - No. 12)

A monoatomic gas at pressure $$\mathrm{P}$$ and volume $$\mathrm{V}$$ is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :
P
8P
32P
64P

Explanation

$$P{V^\gamma }=$$ constant

$$ \Rightarrow P{V^\gamma } = (P'){\left( {{v \over 8}} \right)^\gamma }$$ where $$\gamma = 5/3$$

$$ \Rightarrow P' = 32P$$

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