JEE Main & Advanced Sample Paper JEE Main Sample Paper-31

  • question_answer
    \[X\]ml of \[{{H}_{3}}\] gas effuse through a hole in a container in 5 seconds. The time taken for the effusion of the same volume of the gas specified below under identical conditions is:

    A) 10 seconds : He

    B) 20 seconds : \[{{O}_{2}}\]

    C) 25 seconds : CO 

    D) 55 seconds : \[C{{O}_{2}}\]

    Correct Answer: B

    Solution :

    For effusion of same volume \[\frac{{{t}_{1}}}{{{t}_{2}}}=\sqrt{\frac{{{M}_{1}}}{{{M}_{2}}}}\Rightarrow \frac{{{t}_{1}}}{\sqrt{{{M}_{1}}}}=\frac{{{t}_{2}}}{\sqrt{{{M}_{2}}}}\] This is clearly seen from the options that the ratio of is same \[{{H}_{2}}\,\,and\,\,\left( \frac{5}{\sqrt{2}}=\frac{20}{\sqrt{32}}=\frac{5}{\sqrt{2}} \right)\]


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