Task$-3$: $(30$ marks$)$

Consider a non$-$reactive crystallisation of a lithium salt $(LiC{O}_3)$ from its aqueous solution. Design a batch evaporative

crystallizer for the data given below.

Production rate $=100kg$ per batch

Feed $=$ saturated solution at the operating conditions

Desired crystal size $=200m$

Seed crystal size $=10m$

Crystal growth rate $=5\mathrm{.}23{10}^{-8}\frac{m}{s}$

Maximum slurry density $=8kg$ crystals $\frac{?}{m^3}$

Solubility of the salt at $\{$:$25C)$ and at $\{$:$40C)$

Density of the salt crystals $=2110k\frac{g}{m^3}$

Your design calculations must include calculations of $($i$)$ equipment volume, $($ii$)$ batch time, $($iii$)$ operating conditions

$($temperature and pressure$),($iv$)$ profile of change in liquid volume with time and $($v$)$ mass and energy balance. Derive all

necessary data from literature or make suitable assumptions.help