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Equal moles of hydrogen and oxygen gases...

Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of 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`

Text Solution

Verified by Experts

The correct Answer is:
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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