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Question

1 mole of monatomic ideal gas undergoes a cyclic process shown in the PV diagram. The process BC is isothermal and the temperature at B is 800 K. Find the work done by the gas during the process ABC.
766764_40f90688c2ca4d84a81dd14c7707567a.png

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Solution

BC
Workdone,
W1=nRTlnV2V1=1.R.800.ln2V0V0=800×8.32ln2=6656ln2
CA
Workdone,
W2=Pdv
=P0(V02V0)=P0V0
AB
Isochoric process,
W3=0
Total work done,
W=W1+W2+W3
=6656ln2P0V0.

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