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 ?

Options

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

Answer

A

Explanation

`n_(H_2) = n_(O_2) and t_(H_2) = t_(O_2)`
According to Graham.s las
`(r_(H_2) )/(r_(O_2)) = sqrt((M_(O_2))/(M_(H_2)) ) rArr (v_1 // t_1)/(v_2 // t_2) =sqrt(32/2)`
`(1//2)/(1//x) = sqrt16 = 4`
`x/2 = 4`
`therefore x = 8`
`therefore `Fraction of `O_2 = 1//8`