JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Topic Test - Kinetic Theory Of Gases-2

  • question_answer
    The value of the gas constant (R) calculated from the perfect gas equation is 8.32 joules/gm mole K, whereas its value calculated from the knowledge of \[{{C}_{P}}\] and \[{{C}_{V}}\] of the gas is 1.98 cal/gm mole K. From this data, the value of J is           

    A) \[4.16\ J/cal\]

    B) \[4.18\ J/cal\]

    C) \[4.20\ J/cal\]

    D) \[4.22\ J/cal\]

    Correct Answer: C

    Solution :

    [c] We know that \[{{C}_{P}}-{{C}_{V}}=\frac{R}{J}\]Þ \[J=\frac{R}{{{C}_{P}}-{{C}_{V}}}\]
    \[{{C}_{P}}-{{C}_{V}}=1.98\ \frac{cal}{gm-mol-K}\],\[R=8.32\frac{J}{gm-mol-K}\]
    \[\therefore \ J=\frac{8.32}{1.98}=4.20\ J/cal\]


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