QUESTION $2($PO$2,$ CO$2,$ C$3)$ A total feed mixture of $500k\frac{g}{h}$ composed of $55wt\%$ heptane and $45wt\%$ ethylbenzene is to be fractionated at $1\mathrm{.}0$ bar to produce distillate containing $95wt\%$ heptane and bottom containing $2wt\%$ heptane. The liquid mixture enters at distillation column at $327\mathrm{.}6$ K while the boiling point of the feed is $366\mathrm{.}7$ K $.$ The average heat capacity of the feed is $159k\frac{J}{k}$mol$*K$ and the average latent heat is $32,099k\frac{J}{k}$mol. i$.$ Evaluate the material balance for both enriching and stripping sections in distillation column with aid of sketch diagram. ii$.$ Determine the flow rates of distillate and bottom. iii. Determine the value of feed condition, q for the process. Given: $q=\frac{+c_p(T_B-T_F)}{}$