Q. $1 \,L$ aqueous solution of $H _{2} SO _{4}$ contains $0.02$ $m mol H _{2} SO _{4} .50 \%$ of this solution is diluted with deionized water to give $1 L$ solution $(A)$. In solution $(A)$, $0.01 \,m$ mol of $H _{2} SO _{4}$ are added. Total $m$ mols of $H _{2} SO _{4}$ in the final solution is _________$\times 10^{3} m \,mols$.
Solution: