1- what if B = benzene, A = methanol, what are the dominant interactions between A and B, B and B and A and A and what is their dependence on the distance of the molecules? What can you follow about the strength of these interactions from the phase diagram? 2-  Indicate in the figure which limiting cases you can identify. Name the limiting cases and write down the equations for it. Explain in which situations they hold. 3- You set up a solution of 70 mole % A and 30 mole % B. Calculate from the diagram of A in the gas phase. What does this indicate for a possible separation of A and B and how could you get that?

In an experiment, a 0.001 (mole fraction) solution of polysaccharide in water is made and is placed in the compartment A (see Figure below).  Compartment B is filled with pure water.  The two compartments are separated by a porous semi-permeable membrane that allows the exchange of water molecules between the two compartments, but not that of the larger polysaccharide molecules    Part 2:  As a result of this chemical potential difference, water molecules will move from compartment B to compartment A. This causes the pressure in compartment A, relative to that in B, to increase. How would this affect the chemical potential of water in compartment B?  When would the diffusion of water from B to A cease (i.e. equilibrium is achieved)?

1. The following data was obtained for liquid A and B which is partially miscible. T (K) 309.82 309.42 309.03 308.00 306.68 0.400 0.371 0.473 0.527 0.600 0.629 0.674 0.761 304.55 301.80 299.09 0.326 0.239 0.255 0.745 XA XB 296 0.218 0.193 0.168 0.782 0.807 0.832 294.53 0.157 0.843 (a) Plot the phase diagram of liquid A and B (b) State the composition of two phases that form from mixing 0.750 mol of A and 0.250 of B at 300 K. (c) To what temperature must the mixture be heated to form a single-phase mixture?

Explain using an example the relationship of chemical potential to phase equilibrium.