An ideal gas expands isothermally from a volume \( V_{1} \) to \( V...

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An ideal gas expands isothermally from a volume \( V_{1} \) to \( V_{2} \) and then compressed to original volume \( V_{1} \) adiabatically.
\( \mathrm{P} \) Initial pressure is \( P_{1} \) and final pressure is \( P_{3} \). The total

W work done is \( W \). Then
[IIT-JEE (Screening) 2004]
(a) \( P_{3}P_{1}, W0 \)
(b) \( P_{3}P_{1}, W0 \)
(c) \( P_{3}P_{1}, W0 \)
(d) \( P_{3}=P_{1}, W=0 \)
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