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JEE Main & Advanced Sample Paper JEE Main Sample Paper-8

  • 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\[R=25/3\text{ }J/mol\text{-}K\])

    A)  5 kJ                       

    B)  25 kJ

    C)  15 kJ                    

    D)  20 kJ

    Correct Answer: C

    Solution :

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


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