A sample of gas at temperature $\mathrm{T}$ is adiabatically expanded to double its volume. Adiabatic constant for the gas is $\gamma=3 / 2$. The work done by the gas in the process is : $(\mu=1 \mathrm{~mole})$
  • A$\mathrm{RT}[\sqrt{2}-2]$
  • B$\mathrm{RT}[1-2 \sqrt{2}]$
  • C$\mathrm{RT}[2 \sqrt{2}-1]$
  • D$\mathrm{RT}[2-\sqrt{2}]$
JEE MAIN 2024, Diffcult
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