Problem 1. You have three batches of the same polymer, but with different degrees of polymerization: DOP1=10,DOP2=50, and DOP3=150. Any of these batches can be used to make paint by mixing it with a solvent. At room temperature (298K), this polymer has the following Flory Huggins parameters with three different solvents (A,B,C).A=0.8;B=0.62; C=0.56. Assume that each of the solvent molecules has the same volume, which is also identical to the polymer's monomeric unit. A) Which of these solvents is could dissolve each polymer batch at room temperature, ensuring solubility across all compositions? B) Determine parameters for the critical point ( T, volume fraction) for each combination, and schematically draw the phase diagrams (binodal curve with T on y-axis and phi on x-axis) for the three batches in the three different solvents. (you might put the 3 different degrees of polymerization together for one solvent on each of 3 schematics.) C) Determine the temperature range in which complete solubility of each polymer patch / solvent combination would be guaranteed. D) Explain qualitatively what would happen if instead of a solvent, the polymer of interest were mixed with a second polymer having =0.8. In other words the second polymer is a polymerized version of solvent A