JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Mock Test - Kinetic Theory of Gases and Laws of Thermodynamics

  • question_answer
    A light container having a diatomic gas enclosed within is moving with velocity\[v\]. Mass of the gas is \[M\] and number of    mass of moles is n. The kinetic energy of gas w.r.t. ground is

    A) \[\frac{1}{2}M{{V}^{2}}+\frac{3}{2}nRT\]

    B) \[\frac{1}{2}M{{V}^{2}}\]

    C) \[\frac{1}{2}M{{V}^{2}}+\frac{5}{2}nRT\]

    D) \[\frac{5}{2}nRT\]

    Correct Answer: C

    Solution :

    [c] The kinetic energy of gas W.r.t. center of mass of the system K.E.\[=\frac{5}{2}nRT\] Kinetic energy of gas w.r.t ground =kinetic energy of centre of mass w.r.t. ground +Kinetic energy of gas w.r.t. centre of mass. \[K.E.=\frac{1}{2}M{{V}^{2}}+\frac{5}{2}nRT\]


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