Question

A gas with molecular formula $C_n{H}_{2n+2}$ diffuses through porous plug at a rate $1/6th$ of the rate of diffusion of hydrogen gas under similar conditions. The formula of the gas is

• A. $C_2{H}_6$
• B. $C_{10}{H}_{22}$
• C. $C_5{H}_{12}$
• D. $C_6{H}_{14}$

Answer 1

The correct option is C $C_5{H}_{12}$

Using diffusion formula,

$\frac{r_1}{r_2}=\sqrt{\frac{M_2}{M_1}};$

$\frac{r_1}{r_1/6}=\sqrt{\frac{M_2}{2}};$

$M_2=72$
$\therefore$ The formula of gas will be $C_5{H}_{12}$.