$(30$ pts$)$ Biodiesel is formed by the reaction of lipids $($fats and oils$)$ with an alcohol in the

oresence of a catalyst $($usually base$).$ However, water is often in the oils and needs to be

emoved because the presence of water will cause the production of soap instead of

jiodiesel. A flash drum is used to remove water from Stearic Acid. A $175mo\frac{l}{h}$ mixture

of $80$mol$\%$ Stearic Acid $($SA$)$ and $20$mol$\%$ Water $($W$)$ is flashed isothermally from $70$

oar to $20$ bar at $723\mathrm{.}15K.$ Assume Raoult's Law applies $($an ideal mixture$).$ Antione's

Equation $(lo{g}_{10})$ parameters are given below for $P(\frac{?}{\text{b}\text{a}\text{r}})$ and $T(K).$

a$.$ Draw a process flow diagram $(4$ pts$)$ and do a degree of freedom analysis $(4pts).$

b$.$ Calculate the molar flow rates $(mo\frac{l}{h})$ and compositions of the product streams

analytically $($No Excel Solver$).(14$ pts$)$