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

Short Answer

Expert verified

The percent yield of sodium bicarbonate when purified by the given will be 58%

Step by step solution

01

Given Data

It is given that the solubility of sodium bicarbonate in hot water is 164 g/L which is the theoretical yield of \({\rm{NaHC}}{{\rm{O}}_3}\)

Now, we know that solubility means the solute is dissolved in the solution, and in cold water the \({\rm{NaHC}}{{\rm{O}}_3}\) is present along with the other impurities, so the amount of \({\rm{NaHC}}{{\rm{O}}_3}\) that is present in the solution or the actual yield of \({\rm{NaHC}}{{\rm{O}}_3}\) will be 164 – 69 = 95 g/L

02

Percent yield of sodium bicarbonate

The net percentage yield of the compound is calculated by:

\({\rm{Percentage yield = }}\frac{{{\rm{Actual yield}}}}{{{\rm{Theoretical yield}}}}{\rm{ }} \times {\rm{ 100}}\)

Therefore, the percentage yield of the \({\rm{NaHC}}{{\rm{O}}_3}\) is

\({\rm{Percentage yield = }}\frac{{95}}{{164}}{\rm{ }} \times {\rm{ 100 = 58 percent}}\)

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