CET Karnataka Medical CET - Karnataka Medical Solved Paper-2001

  • question_answer
    An ideal gas is taken around PQRP as shown in the figure of PV diagram. The work done during a cycle is:

    A)  zero

    B)  \[\frac{1}{2}\]PV

    C)  PV

    D)  2PV

    Correct Answer: C

    Solution :

     The work done during the process from P to Q= area PQRSTP (positive sign is to be taken due to expansion along PQ) Area of triangle PQR + area of rectangle PRST \[=\frac{1}{2}\times 2\times 1\times 1\times 2=3PV\] Work done during process from R to P = - Area RSTP (negative sign due to compression in atom RP)\[=-ST\times PT=-2\times 1=-2PV\] Hence, the work done in the complete cycle \[=3PV-2PV=PV\]


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