Problem 2: Oxygen absorption and carbon monoxide poisoning. Hemoglobin molecules transport oxygen (02) in blood. The oxygen absorption site in U a hemoglobin molecule consists of Fe2+ ions to which a single molecule can bind. / Fez. Unfortunately, the binding site can also bind a carbon monoxide (CO) molecule, Bindings\" which would prevent the hemoglobin from carrying oxygen. A binding site in the presence of 02 and C0 can then be in 3 possible states. The energy of each state is: Empty Oxygen-bound Carbon monoxide-bound T Q Eempty : 0 502 = -1-5 X 10'20 I Eco : 3.45 x 10-20] A. First consider an absorption site in a human body, at a temperature of 310 K, which li00| has 100 02 molecules nearby that could occupy it. 1. What are the possible states of the site in this case? What are their multiplicities? T 2. How much more likely is it to nd the absorption site occupied than empty? Meaning, what is the Pmme) 9 (Hint: Don't forget to include the multiplicities.) ratio of probabilities W. 3. Determine the absolute probability Prob (02) of nding an absorption site oxygen-bound in the above conditions. Express your answer as a percentage. (Hint: Don't forget the multiplicities.) B. Suppose instead that there is now one CO molecule per the 100 of 02 available [100' to occupy the site 1. What are the possible states now, and what are their multiplicities? T 2. How much more likely is it to find the absorption site occupied by CO compared to 02? 3. Under these conditions, what is the new absolute probability Prob(02) to nd an absorption site occupied by an 0; molecule? Express your answer as a percentage. C. Carbon monoxide poisoning is usually treated by putting patients in a hyberbaric oxygen chamber, where patients breathe pure 02 at 2-3 atmospheres of pressure. 1. With the same amount of CO in your blood, but 3 times as much 02, compute the new probability Prob(02) of an absorption site being occupied by an ()2 molecule