Question

A silent electric discharge is passed through pure oxygen. The volume of the gas is reduced by $\frac{100}{3}\%$. The percentage conversion of oxygen to ozone is:

• A. $\frac{200}{3}$
• B. $75$
• C. $80$
• D. $100$

Answer 1

The correct option is D $100$

When a silent electric discharge is passed through pure oxygen, the following reaction occurs.
$3O_2\to 2O_3$

Let the initial volume of $O_2$ ($v$) $=100$ ml.

Let the percentage conversion of oxygen to ozone is $x$ ml.

Therefore, volume at equilibrium ($v_{eq}$) $=100-x+\frac{2x}{3}$

Final volume is $100-x+\frac{2x}{3}=100-\frac{100}{3}$

Hence, $x=100$ ml.

Therefore, the percentage conversion of oxygen to ozone is $100$ ml.