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

  • question_answer
    In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as\[{{\text{T}}^{\text{q}}}\]. A good estimate for q is:

    A)  \[\frac{1}{2}\]

    B) 2      

    C)  1 

    D) \[\frac{1}{4}\]

    Correct Answer: C

    Solution :

    [c] Pressure, \[P=\frac{1}{3}\frac{mN}{V}V_{rms}^{2}\] \[\text{or, }P=\frac{\left( mN \right)T}{V}\] If the gas mass and temperature are constant then             \[P\propto {{({{V}_{rms}})}^{2}}\propto T\] So. force \[\propto {{({{V}_{rms}})}^{2}}\propto T\] i.e., Value of \[q=1\]


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