During the intraerythrocytic part of its lifecycle, the malaria parasite inhibits the red blood cells, where it metabolizes hemoglobin. This process releases toxic hematin. The parasite ameliorates hematin toxicity by sequestering it into crystals called hemozoin. Numerous antimalarial drugs suppress the parasites by blocking hematin crystallization, thereby preserving hematin into its toxic soluble state. (a) The solubility of hematin Ce was measured at five temperatures and is listed in the table below. Use that Kcryst=Ce1 and the van 't Hoff equation to determine the crystallization enthalpy Hcryst0 (b) Use the molecular volume of hematin, =0.8nm3 and the Turnbull relation to determine the value of the surface free energy of hematin crystals. (c) The action of several antimalarials in inhibition of hematin crystallization is modulated by the radius of the critical nucleus of hematin crystals R. Use the classical nucleation theory to derive the ration between R and . Compute the value of R for hematin concentration C=0.25mM at 29.5C. (Hint: /kBT=lnC/Ce). [Olafson, et al., PNAS 112 (2015) 4946]