$(30$ pts$)$ a$)$ Calculate standard Enthalpy, Entropy and Gibbs free energy of chemical reaction at $298K$ using data given to you.

$Ca(a)+$BaO$(s)=>$CaO$(s)+Ba(a)at298K$

b$)$ Does this reaction spontaneously take place? Show!

c$)$ Show how you would calculate Enthalpy and Entropy change for the reaction at $800K.$ Do not calculate anything, just show the steps and leave integral in very general form $($do not put $Cp$ values in$)$