3) Simple Cooperative Binding Revisited (15 points) There are N molecules of an ideal gas conned to a cellular volume V. On the interior wall of this cell is a single receptor site, which can either bind one molecule with a binding energy 83 or two molecules with a binding energy of (2813+A), 116., the receptor has three states, empty, one bound ligand, and two bound ligands. Note, the geometry of the receptor is such that only when one molecule is bound is the second site accessible through cooperativity and allostery! a) What is the probability of nding the receptor in each of the three states? Hint: which partition function do we need here? Think! '3) Plot the probabilities of each state as a function of the partial pressure of the gas. (Hint: refer to Fig. 7.18 and the associated homework problem in HWZ) Use the following values, A8 = 8B llo = 5 kBT, A = 2.5 kBT, and Cr) = 760 mm Hg. How does this compare with oxygen binding to \"dimoglobin\"? c) Find the average occupancy of the receptor in terms of the gas concentration and plot it as done for \"dimoglobin\" (see Fig. 7.19) Use the following values, AS = 5 kBT, A = 0, 2.5 and 5 kBT, and Co = 760 mm Hg