You are to simulate a partial condenser module that converts a vapor feed stream (SF) containing a single condensable species at temperature TF(K) to liquid and vapor product streams (SL, SV) in equilibrium at a temperature T(K). The process takes place at a constant pressure P(atm). The compositions of the Liquid and vapor product streams are related by Raoult’s law (Equation 6.4-1), and the component vapor pressures are correlated with temperature by the Antoine equation, Table B.4.

The system variables are as follows:

NF, NL, NV mol/s of feed, liquid product, and vapor product.

XF Mole fractions of the condensable substance in the feed and the vapor

Xv product

TF, T, P Feed temperature (K), condenser temperature (K), and condenser pressure

(atm), respectively.

PVVapor pressure (mm Hg) of the condensable substance at temperature T

A, B, C Antoine equation constants for the condensable substance

CPG gas assume independent of temperature.

Q Required heat input (kW) to the condenser. (Q will be negative.)

(a) Show that the system has five degrees of freedom, counting as the system variables three stream flow rates, two mole fractions, one vapor pressure. TF, T, P, and Q

(b) The input variables to the module are to be the molar flow rates of the condensable and non- condensable feed stream constituents [SF(1) and SF(2)], the feed temperature [SF(3) = TFJ, the operating pressure of the condenser (P), and the fraction YC of the condensable species in the feed that is to be condensed. (The heat capacities and heat of vaporization must also be supplied.) The output variables are the molar flow rate of the liquid product stream [SL (1)], the molar flow rates of the vapor product stream constituents [SV (1) and SV(2)], the operating temperature of the condenser [SL(2) = SV(3) = T]. and the required heat transfer rate (Q). Outline the required calculations.

(c) Use an equation-solving program to perform the calculations outlined in part (c).