A hot solution of Ba(NO 3 ) 2 from an evaporator contains 30.6 kg Ba(NO 3 ) 2 per 100 kg water and goes to a crystallizer, where the solution is cooled and Ba(NO 3 ) 2 crystallizes. On cooling, 10% of...

A hot solution of Ba(NO₃)₂
from an evaporator contains 30.6 kg Ba(NO₃)₂
per 100 kg water and goes to a crystallizer, where the solution is cooled and Ba(NO₃)₂
crystallizes. On cooling, 10% of the original water present evaporates. For a feed solution of 100 kg total, calculate the following:

a. The yield of crystals if the solution is cooled to 290 K (17°C), where the solubility is 8.6 kg Ba(NO₃)₂
per 100 kg water.
b. The yield if cooled instead to 283 K, where the solubility is 7.0 kg Ba(NO₃)₂
per 100 kg water