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JEE Main & Advanced Physics Thermodynamical Processes Sample Paper Topic Test - Thermodynamical Processes

  • 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 :

    (c) 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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