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Question

The internal energy (U) of an ideal gas is plotted against volume for a cyclic process ABCDA, as shown in the figure.
The temperature of the gas at B and C are 500 K and 300 K, respectively. The heat absorbed by the gas (in cal/mol) in this cyclic process, is :

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Solution

We know,
q=qAB+qBC+qCD+qDA
=nRTBln2V0V0+nCv,m(TcTB)+nRTclnV02V0+nCv,m(TATB)
=nR(TBTc)ln2=1×2×0.7×200
=280 cal/mol

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