Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, each is compressed till their pressure becomes twice the initial pressure then.

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If the compression is adiabatic then monoatomic gas will have maximum final volume

If the compression is isothermal then their final volumes will be same

If the compression is adiabatic, then triatomic gas will have maximum final volume

If the compression is adiabatic, then their final volume will be different

answer is A, B, D.

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Detailed Solution

$P_{i} = P P_{f} = 2 P V_{i} = V V_{f} = ?$

For adiabatic process $P V^{γ} = (2 P) v_{f}^{γ} \Rightarrow v_{f} = {(\frac{1}{2})}^{\frac{1}{γ}} v .$ For maximum $v_{f}$ , $γ$ is maximum ( for monoatomic gas ) .

For isothermal process $P V = (2 P) v_{f} \Rightarrow v_{f} = \frac{v}{2}$

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