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NEET Sample Paper NEET Sample Test Paper-46

  • question_answer
    An ideal gas is taken through the cycle\[A\to B\to C\to A\], as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process \[C\to A\]

    A) -5 J

    B)                    -10 J

    C)                    -15 J

    D)                    -20 J

    Correct Answer: A

    Solution :

    \[\Delta {{W}_{AB}}\,\,=\,\,P\Delta V\text{ }=\text{ }\left( 10 \right)\text{ }\left( 2-1 \right)=10\text{ }J\] \[\Delta {{W}_{BC}}\,\,=\,\,0\] From first law of thermodynamics \[\Delta Q=\Delta W+\Delta U\] \[AU\text{ }=\text{ }0\] (process ABCA is cyclic) \[\therefore \,\,\,\,\Delta Q\,\,=\,\,\,\Delta {{W}_{AB}}+\Delta {{W}_{BC}}+\Delta {{W}_{CA}}\] \[\therefore \,\,\,\text{ }\Delta {{W}_{CA}}=\,\,\Delta Q\text{ }-\Delta {{W}_{AB}}-\text{ }\Delta {{W}_{BC}}=5\,\,-\,\,10\,\,-\,\,0\]


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