Chemistry - Ionic Equilibrium Question with Solution | TestHub

Sodium bicarbonate, ${\mathrm{NaHCO}}_3$, can be purified by dissolving it in hot water $\left(60^{\circ }\mathrm{C}\right)$, filtering to remove the insoluble impurities cooling to $0^{\circ }\mathrm{C}$ to precipitate solid ${\mathrm{NaHCO}}_3$, and then filtering to remove the solid, leaving soluble impurities in solution. Any ${\mathrm{NaHCO}}_3$ that remains in the solution is not recovered. The solubility of ${\mathrm{NaHCO}}_3$ in hot water at $60^{\circ }\mathrm{C}$ is $164\mathrm{g}/\ell$. Its solubility in cold water at $0^{\circ }\mathrm{C}$ is $70\mathrm{g}/\mathrm{L}$. What is the $\%$ yield of ${\mathrm{NaHCO}}_3$ when it is purified by this method?