In an earlier chapter we found that, for liquid water, large pressure increases give only very small changes in volume. In particular, we found that the pressure and volume were related by an equation of the form p = A[1 + B (1 - V/V0)]) where A, B, and Vo are constants.
(a) Write down an expression that shows how the water's entropy depends on the volume. (Assume that E, V, and N are the independent variables, with E proportional to T.)
(b) Write down any expression for the number of accessible states that has the correct volume dependence.