A single effect evaporator is concentrating a feed solution of organic colloids from $5$ to $50$ wt $\%.$ The solution has a negligible boiling point elevation. The heat capacity of the feed is $c_p=4\mathrm{.}06k\frac{J}{k}g*K(0\mathrm{.}97bt\frac{u}{l}bm*F)$ and the feed enters at $15\mathrm{.}6C.$ Saturated steam at $101\mathrm{.}32$kPa is available for heating, and the pressure in the vapor space of the evaporator is $15\mathrm{.}3$kPa. A total of $4536k\frac{g}{h}(10000lb\frac{m}{h})$ of water is to be evaporated. The overall heat$-$transfer coefficient is $1988\frac{W}{m^2}*K.$ What is the required surface area in $m^2$ and the steam consumption? $(35$ points$)$