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System, Surroundings, Intensive, Extensive Properties

A monoatomic ...

Question

A monoatomic ideal gas at pressure $P_{0}$ is suddenly compressed to $\frac{1}{27}$ its initial volume. The final pressure will be:

A

293 P_{0}

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B

27 P_{0}

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C

343 P_{0}

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D

243 P_{0}

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Solution

The correct option is B $27 P_{0}$
Initial pressure is $P_{0}$ and let final pressure is $P$ . Initial volume is $V_{1}$ and final volume is $V_{2}$ . Since, it is not given that compression is adiabatically, so for an ideal gas final pressure is $27 P_{0}$

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