A distillation column is separating ethanol $($E$)$ from water $($W$)$ at a pressureof $1$ kg$/$cm$2.$ The column has one feed stream, one side stream, a total condenser,and a partial reboiler. The external reflux ratio, L$0/$D $=3\mathrm{.}5$ for this separation. The two$-$phase feed is $40$ wt$\%$ ethanol at $90$ oC and is fed at a rate of $100$ kg$/$min$.$ The liquid side stream is $64$ wt $\%$ ethanol and leaves at a rate of $12$ kg$/$min$.$ The bottoms product is $98$ wt$\%$ water and the distillate product is $93$ wt $\%$ ethanol. The distillate and reflux are both saturated liquid. Use Figure $2-4$ for enthalpy data.a$.$ Find the flow rates D and B in kg$/$min$.$ b$.$ Given the information above, calculate Qc and QR in kcal$/$min$.$ Show the enthalpy values of all streams in kcal$/$kg and the vapor flow rate V$1$ in kg$/$min$.$