The solubility product of $\mathrm{BaSO}_{4}$ is $1 \times 10^{-10}$ at $298 \mathrm{~K}$. The solubility of $\mathrm{BaSO}_{4}$ in $0.1 ~\mathrm{M} ~\mathrm{K}_{2} \mathrm{SO}_{4}(\mathrm{aq})$ solution is ___________ $\times 10^{-9} \mathrm{~g} \mathrm{~L}^{-1}$ (nearest integer).

Given: Molar mass of $\mathrm{BaSO}_{4}$ is $233 \mathrm{~g} \mathrm{~mol}^{-1}$