If the equivalent weight of $S$ in $S{O}_2$ is $8$, then the equivalent weight of $S$ in $S{O}_3$ is :

The correct option is A $\frac{8\times 2}{3}$
The atomic mass of S is 32.

$\text{Equivalent mass}=\frac{\text{Atomic mass}}{\text{valency}}$

If the equivalent weight of $S$ in $S{O}_2$ is 8, then the valency of S is $\frac{32}{4}=2$.

The equivalent weight of $S$ in $S{O}_3$ is $\frac{32}{6}$ or $\frac{8\times 2}{3}$ as the valency of S is 6.