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  4. During the adiabatic expansion of 2 moles of a gas, the internal energy was found to have decreased by 100 J. The work done by the gas in this process is

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Q. During the adiabatic expansion of $2$ moles of a gas, the internal energy was found to have decreased by $100 \,J$. The work done by the gas in this process is

Chhattisgarh PMTChhattisgarh PMT 2005

Solution:

First law of thermodynamics is
$ dQ=dU+dW $
$ dQ=0, $
for adiabatic change Therefore,
$ dW=-dU=-(-100)\,J $
$ =100\,J $