$1$ mol of Fe is placed in the atmospheric state $(300$ K$,1$ atm $(=0\mathrm{.}0001$ GPa$),$ and the volume per mole $($Vm$),$ coefficient of thermal expansion $(\backslash$alpha $),$ and isostatic heat capacity $($CP$)$ of Fe are as follows.

When the temperature is $400$ K and the pressure is increased to $10$ atm $(=0\mathrm{.}001$ GPa$),$ find the change in $1)$ Gibbs free energy per mole of Fe$,2)$ enthalpy per mole, and $3)$ entropy per mole.

Volume per mole Vm $[$cm$3$ mol$-1]$ thermal expansion coefficient $\backslash$alpha $[$K$-1]$ isostatic heat capacity CP $[$JK$-1$ mol$-1]$ at room temperature

Vm $=7\mathrm{.}1-0\mathrm{.}422$ P

$($P $=$ Pressure $[$GPa$])$

$\backslash$alpha $=0\mathrm{.}3\backslash$times $104$

CP $=25$

$*$ Pay attention to volume and pressure units when calculating