A sample of gas at temperature T is adiabatically expanded to dou… | JEE Main 2023 Physics PYQ

MCQMediumJEE Main 2023 · 1 February, Shift 1Isothermal & Adiabatic Processes

A sample of gas at temperature $T$ is adiabatically expanded to double its volume. The work done by the gas in the process is (given, $\gamma = \frac{3}{2}$ ):

A
$W = TR [\sqrt{2} - 2]$
B
$W = \frac{T}{R} [\sqrt{2} - 2]$
C
$W = \frac{R}{T} [2 - \sqrt{2}]$
D
$W = RT [2 - \sqrt{2}]$

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