A $100mo\frac{l}{h}$ liquid feed containing $57\%n-$pentane and $43\%n-$hexane by mole will be distilled in

a distillation column. Calculate the top and bottom product flow rates and their compositions

for the following cases:

a$)$ If there is $93\%n-$pentane in the top product and $92\%n-$hexane in the bottom product

b$)$ If $91\%$ of the $n-$pentane in the feed is recovered in the top product and $89\%$ of the $n-$hexane

in the feed is recovered in the bottom product

c$)$ If $90\%$ of the $n-$pentane in the feed is recovered and $n-$pentane in the top product is $97\%$

d$)$ If the bottom product flow rate is $60mo\frac{l}{h}$ and $97\%$ of the $n-$hexane in the feed is recovered

in the bottom product