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3. A saturated-liquid mixture of benzene and toluene is fed at a rate of 350 mol/h into a distillation column. The feed consists of 154 mol/h of benzene. It is desired to obtain 97.4 mol% of benzene at the top and 97.6 mol% of toluene at the bottom. L/V at the top of the column is kept constant at 0.778.

(a) What are the flow rates of distillate and bottoms products?
(b) What is the reflux ratio, \( R \), of this column?
(c) What is the ratio of reflux to minimum reflux?
(d) Determine the number of theoretical stages needed using the McCabe-Thiele method.

(Equilibrium curve for benzene-toluene system is given below)

Answer :

The flow rate of distillate and bottoms products can be determined by applying material balance equations to the given saturated-liquid mixture of benzene and toluene in the distillation column.

What is the desired composition of benzene at the top and toluene at the bottom in the distillation column for the given saturated-liquid mixture?

(a) The flow rates of distillate and bottoms products are determined by the material balance equations and the given information about the feed and desired product compositions.

(b) The reflux ratio (R) of the column is the ratio of liquid returning as reflux to the distillate flow rate.

(c) The ratio of reflux to minimum reflux (R/Rmin) can be calculated by comparing the reflux ratio to the minimum reflux ratio required for achieving the desired separation.

(d) The number of theoretical stages needed can be determined by constructing the McCabe-Thiele diagram and counting the number of equilibrium stages intersected by the operating line.

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