JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Topic Test - Kinetic Theory Of Gases-2

  • question_answer
    The average kinetic energy of a gas at \[23{}^\circ C\] and 75 cm pressure is \[5\times {{10}^{-14}}\,erg\] for \[{{H}_{2}}\]. The mean kinetic energy of the \[{{O}_{2}}\]  at \[227{}^\circ C\] and 150 cm pressure will be

    A) \[80\times {{10}^{-14}}\,erg\]   

    B) \[20\times {{10}^{-14}}\,erg\]

    C) \[40\times {{10}^{-14}}\,erg\]

    D) \[10\times {{10}^{-14}}\,erg\]

    Correct Answer: D

    Solution :

    [d] Average kinetic energy
    \[E=\frac{3}{2}kT\] Þ \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{(273-23)}{(273+227)}=\frac{250}{500}=\frac{1}{2}\]
    Þ \[{{E}_{2}}=2{{E}_{1}}=2\times 5\times {{10}^{-14}}=10\times {{10}^{-14}}\,erg\]


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