Chapter 4, Problem 86E

Sodium bicarbonate (baking soda), ${\text{NaHCO}}_3$, can be purified by dissolving it in hot water (60 °C), filtering to remove insoluble impurities, cooling to 0 $°\text{C}$ to precipitate solid ${\text{NaHCO}}_3$, and then filtering to remove the solid, leaving soluble impurities in solution. Any NaHCO3 that remains in solution is not recovered. The solubility of ${\text{NaHCO}}_3$ in hot water of 60 $°\text{C}$ is 164 g/L. Its solubility in cold water of 0 $°\text{C}$ is 69 g/L. What is the percent yield of ${\text{NaHCO}}_3$ when ills purified by this method?