$(1)$ What is the change in entropy of one mole of liquid water at $25C$ when the pressure is increased from $1\mathrm{.}00$ to $10\mathrm{.}0$atm $?(2)$ What is the change in entropy of one mole of nitrogen when it is isothermally expanded from $0\mathrm{.}50$ to $2\mathrm{.}00L?$ Assume van der Waals gas behavior.

Water $(l)$ : expansion coefficient $=\frac{1}{V}(\frac{\text{d}\text{e}\text{l}\text{V}}{\text{d}\text{e}\text{l}\text{T}}{)}_p=2\mathrm{.}14{10}^{-4}{K}^{-1}$ Density $=0\mathrm{.}997\frac{g}{c}{m}^3,$ molar mass $M_w=18\mathrm{.}0\frac{g}{m}ol$