$100$kmo$\frac{l}{h}$ of a gas mixture at $2\mathrm{.}3$atm containing $70$ mole percent condensable

mixture $($butene$+$DEE$+$Ethanol$+$Water$)$ and $30$ mole percent noncondensable

$($ethylene$)$ is to be condensed in a cooler$-$condenser unit by a brine solution at $-15C.$

Gas mixture enters the unit at its dew$-$point. A temperature rise of $20C$ is

recommended for brine. Determine,

a$)$ The outlet temperature of gas mixture for $90\%$ of condensables in the mixture can

be condensed,

b$)$ The required amount of brine solution.

c$)$ If the overall heat transfer coefficient is $2000k\frac{J}{h}m{m}^{2}K,$ calculate the heat transfer

area of condenser.

Antoine constants for condensable:

$A=16\mathrm{.}24,B=2465\mathrm{.}15,C=-37\mathrm{.}15$

$Ln{P}_v=A-\frac{B}{T+C}$;$,[P_v]=mmHg,[T]=K$

$h_{fg}$ of condensable mixture $,=25749k\frac{J}{k}$mol

$c_p$ of vapor condensable mixture $=67k\frac{J}{k}$molK

$c_p$ of liquid condensable mixture $=88k\frac{J}{k}$molK

$c_p$ of ethylene $,=29k\frac{J}{k}$molK

$c_p$ of brine $,=4k\frac{J}{k}$molK