1. 1. Write down the vapor-liquid equilibrium (VLE) equations for a binary system assuming that the vapor phase is ideal and the liquid phase follows Raoult’s law.

2. 2. a) Graph P vs x 1 as given by Raoult’s law. b) Show P 1 sat, P 2 sat. c) Draw P-y 1. d) Explain what happens if P is decreased at constant composition (x 1 = 0.5) starting from a point in the liquid region. e) Show tie-lines

3. 3. a) Draw a T-x diagram. b) Show T 1 sat and T 2 sat. c) Explain what happens if T is increased at constant composition (x 1 = 0.5) starting from a point in the liquid region. d) Show tie lines.

4. 4. a) Draw an y 1 -x 1 diagram. b) Draw an y 1 -x 1 diagram for a system that has an azeotrope.

5. 5. a) Draw a P-x 1 -y 1 diagram for a system that has an azeotrope at x 1 =0.3. b) Draw a T-x 1 -y 1 diagram for a system that has an azeotrope at x 1 =0.3