A gas mixture consists of $0\mathrm{.}8m^3$ of $C{O}_2$ and $0\mathrm{.}5m^3$ of $C{H}_4,$ each at $\frac{1}{b}ar$ and $25C$ blending to form a gas mixture at the same conditions. Assume ideal gas, and answer the following:

$($a$)$ Change in Enthalpy of mixing

$($b$)$ Change in internal energy of mixing

$($c$)$ Change in volume of mixing

$($d$)$ Change in entropy of mixing

$($e$)$ Change in giggs energy of mixing