Refer to Tables A$.2$ and A$.7$ in the text. The second column lists the specific heat, and the third column is the sensible enthalpy, both in molar units. For $C{O}_2$ and $N_2$ :

$($a$)$ Find the sensible enthalpy $($in $k\frac{J}{k}$mol $)$ at $1200K$ using the molar specific heat at $1200K$ and calculate the percentage error compared to the actual value obtained from the table.

$($b$)$ Compare the heat storage capacity of the two species $C{O}_2$ and $N_2$ at $2100K.$

$($c$)$ How would the combustion product gas temperature change $($increase$,$ decrease or remain the same$)$ if nitrogen in air was replaced with $C{O}_2$ on mole basis?