A sample of gas at temperature $T$ is adiabatically expanded to double its volume. The work done by the gas in the process is $\left(\right.$ given, $\left.\gamma=\frac{3}{2}\right)$ :
A sample of gas at temperature $T$ is adiabatically expanded to double its volume. The work done by the gas in the process is $\left(\right.$ given, $\left.\gamma=\frac{3}{2}\right)$ :
- [JEE MAIN 2023]
- A
$W=T R[\sqrt{2}-2]$
- B
$W=\frac{T}{R}[\sqrt{2}-2]$
- C
$W=\frac{R}{T}[2-\sqrt{2}]$
- D
$W=R T[2-\sqrt{2}]$
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- [JEE MAIN 2021]
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