Water molecules around a hydrophobic molecule are (more) structured in the sense that their multiplicity w reduces from 6 to 3 (at or around room temperature) (a) what is the entropy change of such a water molecule. what is the corresponding free energy change? (b) suppose n is the number of water molecules adjacent to a hydrophobic molecule. what is the total free energy change due to water structuring? (c) assume that 10 water molecules cover an area of 1 nm2 around the hydrophobic molecule what is the free energy cost for exposing a hydrophobic molecule per area? answer this in units of kb t/nm2 (d) using your results in (a) or (b), explain why oil and water do not mix (at room temperature) note: you can answer (a) and (b) in terms of such parameters as kg (boltzmann constant) and t (the temperature).