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NEET Sample Paper NEET Sample Test Paper-89

  • 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 \[{{T}^{q}}.\] A good estimate for q is:

    A) \[\frac{1}{2}\]              

    B)        \[2\]

    C) \[1\]                 

    D)        \[\frac{1}{4}\]

    Correct Answer: C

    Solution :

    [c] Pressure, \[P=\frac{1}{3}\frac{mN}{V}V_{rms}^{2}\] or,   \[P=\frac{(mN)T}{V}\] 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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