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JEE Main & Advanced Sample Paper JEE Main Sample Paper-20

  • question_answer
    Three moles of an ideal monoatomic gas perform a cycle shown in figure. The gas temperatures in different states are \[{{T}_{1}}=200K,\] \[{{T}_{2}}=400K,\] \[{{T}_{3}}=1600K,\] and \[{{T}_{4}}=800K,\]The work done by the gas during the cycle is (Take \[R=25/3J/mol-K\])

    A)  \[5\,kJ\]                               

    B)  \[25\,kJ\]

    C)  \[15\,kJ\]                           

    D)  \[20\,kJ\]           

    Correct Answer: C

    Solution :

     \[\text{Proces}{{\text{s}}_{1\to 2}}\] and \[\text{Proces}{{\text{s}}_{3\to 4}}\] are isochoric processes. \[{{W}_{12}}=0,\,{{W}_{34}}=0,\,{{W}_{23}}=nR({{T}_{3}}-{{T}_{2}})=3R(1600-400)\]        \[=3600\,R\] \[{{W}_{41}}=nR({{T}_{1}}-{{T}_{4}})=3R(200-800)=-1800\,R\]


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