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Q.

A cyclic process ABC  is performed on one mole of an ideal gas TA=350  K  and  TB=370  K. A total of 50 R of heat is withdrawn from the gas in the complete cycle. Magnitude of work done by the gas during process  B→C is kR. The value of k is ____
 

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answer is 70.

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Detailed Solution

In a cyclic process,
ΔU=0
⇒QCycle=WCycle
  ⇒WCA=0              (Isochoric process)
⇒WA→B=PΔV=nRΔT
=1×R×(370−350)
=20  R
Now,  −50  R=20  R+WBC
⇒   WBC=−70  R
 

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