A concentrated binary solution containing mostly species 2 (but x2 ≠ 1) is in equilibrium with a vapor phase containing both species 1 and 2. The pressure of this twophase system is 1 bar; the temperature is 25°C. At this temperature,  H1 = 200 bar and P2sat = 0.10 bar. Determine good estimates of x1 and y1. State and justify all assumptions.

1. The reported¹ Margules parameter for a binary mixture of methanol and benzene at 60 °C is A=0.56. At this temperature: Pat = 84 kPa Pat = 52 kPa where subscripts (1) and (2) are for methanol and benzene respectively. Use this information to find the equilibrium pressure (kPa) of a liquid-vapor mixture at 60 °C where the compo- sition of the liquid phase is r₁ = 0.25.

A binary mixture of two similar liquids are miscible in all proportions over awide range of temperature. At a wide range of temperatures, the vapor pressure ratio,P1*/P2* = 1.396. The vapor phase is considered ideal. Given gE = A(x1 . x2), where A = constant and a function of temperature only. Assuming this solution has an azeotrope, Find the range of A values displayingazeotropy? Use Raoult’s Law for ChE’s.

Solve the following questions related to fugacity of a liquid. Assume that liquid is incompressible and thus the 1 molar volume of the liquid is constant. (You may assume that Psat is low enough that sat for all parts of this = problem. You will also need to look up or calculate the molar volume of water.) b) Calculate the fugacity and the fugacity coefficient of liquid water at 100°C and 1000 bar.