PLEASE SOLVE in Detail, I am in D$$RE NEED of a actual way to solve this problem.

Thermodynamic properties of n$-$Hexane$(1)$ and n$-$Heptane$(2)$ gases, can be expressed with the Peng Robinson $($PR$)$ equation of state. Assuming that gas phase mixtures they form are showing ideal solution properties for up to $500$ K and $10$ bar pressure conditions calculate:

Molar enthalpy of the gas mixture $($J$/$mol$),$ entropy $($J$/$mol$.$K$)$ and Gibbs energy $($J$/$mol$)$ properties for x$1=0\mathrm{.}4.$ Additionally, calculate the property changes caused by mixing. Knowledge that might be needed:

n$-$Hekzan, at $341\mathrm{.}87$ K and $1$ bar has an enthalpy of $28\mathrm{.}888$ kJ$/$mol and an entropy of $84\mathrm{.}606$ J$/$mol$.$K

n$-$Heptan, at $371\mathrm{.}55$ K and $1$ bar has an enthalpy of $31\mathrm{.}741$ kJ$/$mol and an entropy of $85\mathrm{.}532$ J$/$mol$.$K

CP$$R $=$ A $+$ BT $+C{T}^2$