Given the solubility of benzoic acid in water is: 0.68 g/100 mL @ 100 °C, and 0.34 g/100 mL at 25 °C. Calculate:
a) Volume (mL) of water needed to dissolve 100 mg of benzoic acid at 100 °C.
b) Weight of benzoic (mg) acid that remain soluble when the solution in part (a) is cooled to 25 °C.
c) Recovery % of benzoic acid crystals that can be collected when the solution in part (a) is cooled to 25 °C.