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

  • question_answer
    The density of a gas is \[6\times {{10}^{-2}}kg/{{m}^{3}}\] and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

    A) \[5\times {{10}^{3}}N/{{m}^{2}}\]

    B) \[1.1\times {{10}^{-4}}N/{{m}^{2}}\]

    C) \[0.83\times {{10}^{-4}}N/{{m}^{2}}~\]

    D) \[30N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

    [a] \[P=\frac{1}{3}\rho v\overline{^{2}}=\frac{1}{3}\times (6\times {{10}^{-2}})\times {{(500)}^{2}}\] \[=5\times {{10}^{3}}N/{{m}^{2}}\]


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