Consider an aqueous, dilute solution of two kinds of protein molecules, 'A' and 'B'. The entire system is at equilibrium, with an absolute temperature T. We can mcasure their translational diffusion cocfficients, DA and DB associated with 3-d random walking. Let dA and dg be the root- mcan-squared distances characterizing how far the proteins have wandered away from a common origin due to random-walking for a duration t, i.e.: da= V(), dp =) (1) Now, suppose our experimental measurements yield: DA= DB/9. (a) Give the value of the ratio A, assuming the same time for random-walking. (b) Assume both proteins can be modeled as spheres. What is ratio of their radii, RA? (c) Suppose you lower the temperature of the solution. State how the diffusion coefficient would change, and give a physical explanation for your answer. (The explanation shouldn't take more than a couple of sentences)