The feed $(245$kmo$\frac{l}{h}r)$ consists of methonol and water containing $48$ mole $\%$ methenol and $52$ mole $\%$ water. The overhead product is to contain $93$ mole$\%$ methonal and the bottom product contains $4$ mole $\%$ methonol. The feed is cold and for each mole of feed, $0\mathrm{.}22$ moles of vopor is condensed on the feed plate. The column runs with $R=1,85.$Rmin. Assume constant relative volatility aAB $=2\mathrm{.}8$

a$)$ Calculate the amount of distillate

b$)$ Colculate the battom flow rate

c$)$ Calculate the botton product flow rate

d$)$ Calculate q

e$)$ Calculate R

f$)$ Calculate the percent recovery of methanol

g$)$ Colculate the slope of enriching section operating line.

h$)$ Calculate the slope of stripping section operating line

I$)$ Calalate the number of theoritical stages.