Question $1$

A distillation column, shown below, is used to separate $10000k\frac{g}{h}r$ of a $40\%$ benzene and $60\%$ chlorobenzene liquid entering a column at $20C.$ The reflux ratio is $6.$ Saturated steam at $150C$ enters the reboiler and it may be assumed that the condensate leaving the reboiler is saturated liquid at steam temperature. Water enters the condenser at $15C$ and exits at $60C.$ The reboiler and condenser operates at $130C$ and $90C$ respectively, and the temperature of stream $L$ is $120C.$ Determine the unknowns if the following is given:

$\backslash$table$[[$Temp$,$C$\_($p$)$Cl$,$C$\_($p$)$Bz$,$H$\_($fg$)$Cl$,$H$\_($fg$)$Bz$],[$K$,$kJ$/$kg$*$K$,$kJ$/$kg$*$K$,$kJ$/$kg$,$kJ$/$kg$],[20,0\mathrm{.}72,0\mathrm{.}94,,],[30,0\mathrm{.}74,0\mathrm{.}96,,],[50,0\mathrm{.}78,1\mathrm{.}00,,],[70,0\mathrm{.}80,1\mathrm{.}04,,395],[90,0\mathrm{.}84,1\mathrm{.}10,325,385],[110,0\mathrm{.}87,1\mathrm{.}13,313,371],[130,0\mathrm{.}91,1\mathrm{.}16,302,]]$

The average latent heat for the $V_f$ stream is $394\mathrm{.}65k\frac{J}{k}g$

$C_p$ for the distillate product is $1\mathrm{.}0188k\frac{J}{k}g.K$

$C_p$ for the bottoms product is $0\mathrm{.}81735k\frac{J}{k}g*K$

The latent heat for the steam is $2113\mathrm{.}2k\frac{J}{k}g$

The cooling water enters the condenser at $15C$ and exits at $60C.$ The condenser operates at $90C$