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Question

Two moles of a monoatomic gas at 300 K is kept in a non-conducting container enclosed by a piston. Gas is now compressed to increase the temperature from 300 K to 400 K. Find work done by the gas (R=253J/mol K)
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Solution

ΔQ=ΔU+W
Since container is non conducting therefore
ΔQ=0=ΔU+W
W=ΔU=nf2RΔT=2×32R(400300)
=3×253×100J=2500J

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