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JEE Main & Advanced Sample Paper JEE Main Sample Paper-11

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

    A)  \[\text{5}\,\text{kJ}\]                                  

    B)  \[\text{25}\,\text{kJ}\]

    C)  \[\text{15}\,\text{kJ}\]               

    D)  \[20\,\text{kJ}\]

    Correct Answer: C

    Solution :

     \[\text{Proces}{{\text{s}}_{1\to 2}}\]and\[\text{Proces}{{\text{s}}_{3\to 4}}\]are isochoric processes. \[{{W}_{12}}=0,\,\,{{W}_{34}}=0,\,\,{{W}_{23}}=nR({{T}_{3}}-{{T}_{2}})=3R(1600-400)\] \[=3600R\] \[{{W}_{41}}=nR({{T}_{1}}-{{T}_{4}})=3R(200-800)=-1800R\] \[W=(3600-1800)R=1800R=15\,\text{kJ}\].


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