BVP Medical BVP Medical Solved Paper-2003

  • 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  \[{{T}_{2}}=2\times 293=586K\]                 \[=586-273={{313}^{o}}C\]


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