A sample of 1 mole gas at temperature T is adiabatically expanded to double its volume. If adiabatic constant for the gas is \(\rm \gamma = \frac{3}{2}\), then the work done by the gas in the process is:

1
\(\rm RT[2-\sqrt2]\)
2
\(\rm \frac{R}{T}[2-\sqrt2]\)
3
\(\rm RT[2+\sqrt2]\)
4
\(\rm \frac{T}{R}[2+\sqrt2]\)

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