Haryana PMT Haryana PMT Solved Paper-2006

  • question_answer
    The temperature of \[{{H}_{2}}\] at which the rms velocity of its molecules is seven times the rms velocity of the molecules of nitrogen at 300 K is :

    A)                  2100 K                                 

    B)  1700 K

    C)                  1350 K                                 

    D)  1050 K

    Correct Answer: D

    Solution :

                    \[{{v}_{rms}}=\sqrt{\frac{3RT}{m}}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{M}_{1}}}\times \frac{{{M}_{2}}}{{{T}_{2}}}}\] \[\frac{{{v}_{H}}}{{{v}_{N}}}=\sqrt{\frac{{{T}_{H}}}{{{M}_{H}}}\times \frac{{{M}_{N}}}{{{T}_{N}}}}\] \[7=\sqrt{\frac{{{T}_{H}}\times 28}{2\times 300}}\] \[49=\frac{{{T}_{H}}\times 28}{600}\] \[{{T}_{H}}=\frac{49\times 600}{28}=1050K\]


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