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

  • question_answer
    One gram mole of nitrogen at \[27{}^\circ C\]and 1 aim pressure is contained in a vessel and the molecules are moving with their rms speed. The number of collisions per second which the vessel's wall is

    A) \[2\times {{10}^{27}}\]

    B) \[~2\times {{10}^{20}}\]

    C) \[2\times {{10}^{10}}\]

    D) \[~2\times {{10}^{24}}\]

    Correct Answer: A

    Solution :

    [a] Number of collisions can be calculated as \[2(m{{v}_{rms}})=PA\] \[\therefore \,\,\,\,n=\left[ \frac{PA}{2m{{v}_{rms}}} \right]\,\,;\,\,{{v}_{rms}}=\sqrt{\frac{3kT}{m}}\]


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