A high-pressure liquid mixture with a flow rate of 1000 mol/min and a composition of 30 mol% W and 70 mol% Z enters a flash chamber, in which it experiences a large pressure drop and some of the liquid vaporizes. The flash chamber is maintained at T=50 ?C and operates at steady state. The liquid exiting the chamber contains 38 mol% W. Determine the pressure of the flash chamber, the composition of the vapor product, and the molar flow rates of the liquid and vapor products.
This problem concerns mixtures of two compounds, W and Z. At T=50 ?C, the vapor pressures are PWsat = 0.6 bar and PZsat = 1.0 bar. Mixtures of the two compounds at this temperature can be modeled using the one-parameter Margules equation, with A = -1.5.
For the equilibrium phases leaving the flash:
Using Raoult’s Law for each component:
Which results in two equations and two unknowns:
Which may be solved simultaneously:
Material Balance on Compound W:
Material Balance on Compound Z:
The two material balances may be solved simultaneously for:
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