Question $2$:

A single$-$effect evaporator is being used to concentrate a feed of $100001\frac{b_m}{h}$ of a cane sugar solution at $80F$ and containing a sugar content of $15$ Brix $($degrees Brix is wt $\%$ sugar$)$ to $30$ Brix for use in a food process. Saturated steam at $240F$ is available for heating. The vapor space in the evaporator will be at $1$atm abs pressure. The overall $U=350bt\frac{u}{h}*f{t}^2*F$ and the heat capacity of the feed is $c_p=0\mathrm{.}91bt\frac{u}{l}{b}_m*F$ The boiling$-$point rise can be estimated by $BPR=3\mathrm{.}2x+11\mathrm{.}2x^2.$ The heat of solution can be considered negligible and neglected. Calculate the area required for the evaporator and the amount of steam used per hour.