Variation on Dill \& Bromberg Problem 13.10 In the first problem, you considered a model of a short polymer that had two states: a compact (folded) state with energy 0 (with 0>0 ) and the extended (unfolded) states had =4 conformations. In this problem we're going to adopt this as a model for protein folding. (a) Write an expression for the equilibrium constant for folding, Kf=Nfolded/Nunfolded in terms of 0 and T (b) Using the van't Hoff expression logK/(1/T), derive the enthalpy of folding, Hf, for this model. (c) What is the free energy of folding versus temperature T:Ff(T)=FfoldedFunfolded ? (d) This model predicts that Ff(T) is a linearly increasing function of T. This is often a good approximation near the denaturation midpoint, Tm. For myoglobin, which has about 150 amino acids, the slope is 0.5kcalmol1deg1 at Tm=70C. If instead of choosing =4, as in the simple model, you choose to fit the experimental slope. What value of is needed