Question

Equal time is taken by 100 ml hydrogen and 25 ml of a gas to diffuse through a porous partition.Calculate the molecular weight of the gas.

• A. 32 gm
• B. 23 gm
• C. 64 gm
• D. 46 gm

Answer 1

The correct option is A 32 gm

$r_1=\frac{100}{t},r^2=\frac{25}{t},M_1=2gm,M_2=?$
According to Graham’s Law of Diffusion
$\frac{r_1}{r_2}=\sqrt{\frac{M_2}{M_1}}$
or, $\frac{\frac{100}{t}}{\frac{25}{t}}=\sqrt{\frac{M_2}{2}}or,4=\sqrt{\frac{M_2}{2}}or,M_2=32gm$