The experimental value of the partial molar chemical potential of $CuS{O}_4(aq)$ at $298K$ is given by the expression chemical potential

$\frac{{}_{\text{C}\text{u}\text{S}\text{O}4}}{c{m}^{3}mo{l}^{-1}}=32+15x^{\frac{1}{2}}$

where $x$ is the numerical of the molality of $CuS{O}_4.$ Use the Gibb's Duhem equation to derive an equation for molar chemical potential of water in the solution. Molar chemical potential of pure water is $18K{J}^{-1}$