JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer A gas diffuse 1/5 times as fast as hydrogen. Its molecular weight is           [CPMT 1992; Bihar CEE 1982]

    A)                 50          

    B)                 25

    C)                 \[25\sqrt{2}\]   

    D)                 \[50\sqrt{2}\]

    Correct Answer: A

    Solution :

               \[{{r}_{g}}=\frac{1}{5}.{{r}_{{{H}_{2}}}}\]                                 \[\frac{{{M}_{g}}}{{{M}_{{{H}_{2}}}}}={{\left[ \frac{{{r}_{{{H}_{2}}}}}{{{r}_{g}}} \right]}^{2}}={{(5)}^{2}}=25\]; \[{{M}_{g}}=2\times 25=50\]

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