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NEET Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव NEET PYQ-States Of Matter

  • question_answer
    Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escapes in the time required for one-half of the hydrogen to escape?       [NEET - 2016]

    A)  1/8                  

    B)       1/4

    C)  3/8                  

    D)       1/2

    Correct Answer: A

    Solution :

    [a] \[{{n}_{{{H}_{2}}}}={{n}_{{{O}_{2}}}}\]and \[{{t}_{{{H}_{2}}}}={{t}_{{{O}_{2}}}}\]
    According to Graham's law
    \[\frac{{{r}_{{{H}_{2}}}}}{{{r}_{{{O}_{2}}}}}=\sqrt{\frac{{{M}_{{{O}_{2}}}}}{{{M}_{{{H}_{2}}}}}}\Rightarrow \frac{{{v}_{1}}/{{t}_{1}}}{{{v}_{2}}/{{t}_{2}}}=\sqrt{\frac{32}{2}}\]
    \[\frac{1/2}{1/x}=\sqrt{16}=4\]
    \[\frac{x}{2}=4\]
    \[\therefore \]      \[x=8\]
    \[\therefore \]      Fraction of \[{{O}_{2}}=1/8\]


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