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Aruna Dhawan
Asked: 2022-11-07T01:11:56+05:30 In:

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 ?
A. `3//8`
B. `1//2`
C. `1//8`
D. `1//4`

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 ?
A. `3//8`
B. `1//2`
C. `1//8`
D. `1//4`
Parabola
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1 Answer

  1. Correct Answer – C
    Let the moles of each gas `= x`
    Fraction `H_(2)` escaped `= y_(2)x`.
    `(r_(O_(2)))/(r_(H_(2)))=sqrt((M_(H_(2)))/(M_(O_(2))))=(nO_(2)//t)/(x/2H_(2)//t) = sqrt((2)/(32)) = 1/4`
    `n_(o_(2)) = 1/4 xx x/2 = x/8`
    `n_(o_(2)) = (1)/(4) xx x/2 = x/8`
    `:.` Fraction of `O_(2)` escaped `= 1//8`

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