VMMC VMMC Medical Solved Paper-2005

  • question_answer
    At which of the following temperature would the molecules of gas have twice the average kinetic energy they have at \[20{}^\circ C\]?

    A) \[40{}^\circ C\]                 

    B)        \[80{}^\circ C\]                 

    C) \[586{}^\circ C\]

    D)        \[313{}^\circ C\]

    Correct Answer: D

    Solution :

    We know that kinetic energy is given by \[E=\frac{3}{2}kT\]or \[E\propto T\]                 Hence, \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\]or \[\frac{{{E}_{1}}}{2{{E}_{1}}}=\frac{273+20}{{{T}_{2}}}\]                 or \[{{T}_{2}}=2\times 293=586\,K\] \[=586-273=313{{\,}^{o}}C\]


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