Question

An isothermal flash unit is to be used for the separation of any mixture into liquid and vapor streams at equilibrium. The composition of the streams depends on the quantity of the feed vaporized (flashed). If the vapor-liquid equilibrium relationship is expressed in terms of equilibrium constants; develop the mathematical model and calculate the portion of vapor stream to the feed stream, f=V/F using Bisection method just 3 iterations. The compositions in the feed (z_i) and equilibrium constants at this operated temperature are

Component	zi	Ki
Benzene	0.15	0.17
Toluene	0.35	0.625
o-xylene	0.50	12.25

Let x_i represent mole fraction of the component i in liquid phase , y_i represent mole fraction of the component i in vapor phase, and 0< f < 1.

Answer 1