An equimolar liquid mixture of n-pentane and n-hexane at

QUESTION:

An equimolar liquid mixture of n-pentane and n-hexane at \(80^{\circ}C\) and 5.00 atm is fed into a flash evaporator at a rate of 100.0 mol/s. When the feed is exposed to the reduced pressure in the evaporator, a substantial amount is vaporized. The temperature in the tank is maintained at \(65^{\circ}C\) by adding heat. The vapor and liquid phases, which are in equilibrium with each other, are separated and discharged as separate streams. The liquid product stream contains 41.0 mole % pentane. A flowchart and an inlet-outlet enthalpy table for the process are given below.

(a) Using Raoult's law for vapor-liquid equilibrium calculations, calculate (I) the system pressure, \(P_0(\rm{atm})\), (ii) the mole fraction of pentane in the vapor product, \(y_p\), (iii) the volumetric flow rate of the vapor product, \(\dot{V}(\mathrm{L} / \mathrm{s})\), and (iv) the fractional vaporization of pentane, \(f\)(mol vaporized/mol fed).

(b) Determine values for all the \(\dot{n}\)'s and \(\hat{H}\)'s in the enthalpy table and calculate the required rate of heat addition to the evaporator, \(\dot{Q}(\mathrm{kW})\)