Initial pressure and volume of a gas are \( P \) and \( V \) respec...

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Initial pressure and volume of a gas are \( P \) and \( V \) respectively. First it is expanded isothermally to volume \( 4 \mathrm{~V} \) and then compressed adiabatically to volume \( V \). The final
\( \mathrm{P} \) pressure of gas will be (given \( \gamma=3 / 2 \) )

W
[CBSE PMT 1999; 2014]
(a) \( 1 P \)
(b) \( 2 P \)
(c) \( 4 P \)
(d) \( 8 P \)
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