Question

The rate of diffusion of a gas having molecular weight just double of hydrogen gas is 30ml $s^{-1}$. The rate of diffusion of hydrogen gas will be:

• A. $42.42ml{s}^{-1}$
• B. $60ml{s}^{-1}$
• C. $120ml{s}^{-1}$
• D. $21.21ml{s}^{-1}$

Answer 1

The correct option is A $42.42ml{s}^{-1}$

$M_G=2M_{H_2}$

rate of diffsusion $\propto \frac{1}{\sqrt{M}}\frac{r_{H_2}}{r_G}=\frac{\sqrt{M_G}}{\sqrt{M_{H_2}}}\frac{\sqrt{M_G}}{\sqrt{M_{H_2}}}=\sqrt{2}\therefore r_{H_2}=\sqrt{2}{r}_G=30\sqrt{2}=42.42$