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A sample of gas at temperature \(T\) is adiabatically expanded to double its volume. The work done by the gas in the pro…

Q1

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, 1 Feb (Shift 1)]

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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