Example $11\mathrm{.}2$ : Find the yield of $N{a}_2{S}_2{O}_3\mathrm{.}5H_{2}O$ crystals when $100kg$ of $48\%N{a}_2{S}_2{O}_3$ solution is cooled to $293K(20C).$ Also calculate the percentage yield of the hydrated crystals. $($At$.$ Wt$.$ : $Na=23,S=32,O=16,H=1)$

Data : Solubility of $N{a}_2{S}_2{O}_3$ is $70$ parts per $100$ parts water at $293K(20C).$