AMU Medical AMU Solved Paper-1999

  • question_answer
    Oxygen and hydrogen gases are at the same temperature and pressure. The oxygen molecule has 16 times the mass of hydrogen molecule. The ratio of the root mean square velocity of oxygen molecule to that of hydrogen molecule will be

    A)  16               

    B)  4

    C)  2                

    D)  ¼

    Correct Answer: D

    Solution :

    : \[{{C}_{RMS}}=\sqrt{\frac{3RT}{M}}=\sqrt{\frac{3PV}{M}}\] \[\frac{{{C}_{O}}}{{{C}_{H}}}=\sqrt{\frac{{{M}_{H}}}{{{M}_{O}}}}=\sqrt{\frac{1}{16}}=\frac{1}{4}\] \[\therefore \]\[\frac{{{C}_{O}}}{{{C}_{H}}}=\frac{1}{4}\]


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