(Solved): The following shows the exact differential equation of Gibbs free energy, \[ d G=\left(\frac{\parti ...

The following shows the exact differential equation of Gibbs free energy, \[ d G=\left(\frac{\partial G}{\partial p}\right)_{T} d p+\left(\frac{\partial G}{\partial T}\right)_{p} d T \] Using the equation and the fundamental equation of Gibbs free energy, find out how Gibbs free energy changes a) upon pressure change (at constant temperature), and b) upon temperature change (at constant pressure). Draw graphs of \( \mathrm{G} \) vs \( \mathrm{p} \) for a) and \( \mathrm{G} \) vs \( \mathrm{T} \) for b) for three major states: solid, liquid, and gas. Explain your answers.