A large cylinder of helium filled at 1000 pascal had a thin orifice through which helium escaped into an evacuated space at the rate of 6.4 m mol/h. How long would it take for 10 m mol `SO_(2)` to leak through a similar orific if the `SO_(2)` were confined at the same pressure ?

Options

A. 6.25 h
B. 0.39 h
C. 4.42 h
D. 1.00 h

Answer

A

Explanation

`(r_(1))/(r_(2)) = sqrt((M_(2))/(M_(1)))`
`r_(1) = 6.4 m` mol/h
`r_(2) = ?`
`M_(1) = 4, M_(2) = 64`
`:. (6.4)(r_(2)) = sqrt((64)/(4))`
`r_(2) = (6.4)/(4) = 1.6m mol//h`
Time required to effuse 10 m mol of `SO_(2)`
`= (10 m mol)/(1.6 m mol h^(-1)) = (100)/(16) h = 6.25 h`