JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Self Evaluation Test - Kinetic Theory

  • question_answer
    One mole of a gas occupies 22.4 lit at N.T.P. Calculate the difference between two molar specific heats of the gas. \[J=4200J/kcal.\]

    A) 1.979kcal/k mol K

    B) 2.378 kcal/k mol K

    C) 4.569 kcal/k mol K

    D) 3.028 kcal/k mol K

    Correct Answer: A

    Solution :

    [a] \[V=22.4litre=22.4\times {{10}^{-3}}{{m}^{3}},J=4500J/kcal\] By ideal gas equation for one mole of a gas, \[R=\frac{PV}{T}=\frac{1.013\times {{10}^{5}}\times 22.4\times {{10}^{-3}}}{273}\] \[{{C}_{p}}-{{C}_{v}}=\frac{R}{J}=\frac{1.013\times {{10}^{5}}\times 22.4}{273\times 4200}=1.979\] kcal/kmol K


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