Question

What will be the ratio of the rate of effusion of the hydrogen to that of the oxygen, if one mole of hydrogen and one mole of oxygen gas are kept in two opened container?

• A. $\sqrt{2}:1$
• B. $4:1$
• C. $8:1$
• D. $16:1$
• E. $\sqrt{32}:1$

Answer 1

The correct option is B $4:1$

The rate of effusion is inversely proportional to the square root of molar mass.
$\frac{r_{H2}}{r_{O2}}=\sqrt{\frac{M_{O2}}{M_{H2}}}=\sqrt{\frac{32}{2}}=\sqrt{\frac{16}{1}}=\frac{4}{1}$
Hence, the ratio of the rate of effusion of the hydrogen to that of the oxygen, will be $4:1$.