In the hydrophobic core of a folded protein, there are three alanine and two phenylalanine residues that are buried, and do not interact with water. Assume: - In bulk solution, water molecules can take on 8 energetically equal states - Two waters immediately surround each alanine in the unfolded state. - Six waters surround each phenylalanine in the unfolded state. - In the unfolded state, water molecules surrounding the alanine can take on only four (4) energetically equal states while water around phenylalanine residues can take on only two (2) energetically equal states. When protein folds these water molecules are released into bulk solution. a) What is the difference in the entropy of the water due to the burying of these ALA and PHE residues as this protein folds. b) What is the water contribution to free energy of folding at 293K (kj/mol)?\