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DUMET Medical DUMET Medical Solved Paper-2009

  • question_answer
    An ideal gas is made to go through a cyclic thermodynamical process in four steps. The amount of heat involved are \[{{Q}_{1}}=600\,J,\] \[{{Q}_{2}}=-400\,J,\,\,\,\,\,{{Q}_{3}}=-300\,J\] and \[{{Q}_{4}}=-300\,J\] respectively. The corresponding works involved are \[{{W}_{1}}=300\,J,\,\,\,{{W}_{2}}=-200\,J,\,\,\,{{W}_{3}}=-150\,J\] and , \[{{W}_{4}}\]What is the value of \[{{W}_{4}}\]?

    A)  \[-20\,J\]           

    B)  \[100\,J\]

    C)  \[150\,J\]          

    D) \[50\,J\]

    Correct Answer: C

    Solution :

     For a cyclic process, Net heat supplied = net work done \[{{Q}_{1}}+{{Q}_{2}}+{{Q}_{3}}+{{Q}_{4}}+{{W}_{1}}+{{W}_{2}}+{{W}_{3}}+{{W}_{4}}\] Substituting the respective values, we get \[600-400-300+200=300-200-150+{{W}_{4}}\] or \[100=-50+{{W}_{4}}\,\,\,\,\Rightarrow \,\,\,\,{{W}_{4}}=150\,\,J\]


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