Assume the solubility of benzoic acid in ice-cold water is 1.70 g/L and the solubility of benzoic acid in hot water is 68.0 g/L. Calculate the minimum volume of water (in mL) needed to recrystallize 0.950 g of benzoic acid.

Answer 1

You want to calculate the volume of water needed to dissolve 0.950 g benzoic acid in hot water. That will be

1000 mL x (0.950/68.0) = ?
I obtained 13.97 which I would round to 14.0 mL to 3 significant figures.

Answer 2

Do we not need to take the solubility into account in the calculation?