Note: Show the calculation steps and tables as presented in the lecture. Otherwise $"$NO CREDIT"!

Question $1[5$ points$]$: Determine the enthalpy change of carbon dioxide per unit mole as it undergoes a change of state from $350$ K and $5\mathrm{.}5$ MPa to $370$ K and $12$ MPa $,$ by

$($a$)[2$ points$]$ assuming ideal gas behavior, and

$($b$)[3$ points$]$ accounting for deviation from ideal gas behavior

Question $2[15$ points$]$: A natural$-$draft cooling tower is to remove $50$ MW of waste heat from the cooling water that enters the tower at $37C$ and leaves at $25C.$ Atmospheric air enters the tower at $1$ atm with dry$-$ and wet$-$bulb temperatures of $15$ and $10C,$ respectively, and leaves saturated at $27C.$ Determine

$($a$)[5$ points$]$ The mass flow rate of the cooling water,

$($b$)[5$ points$]$ The volume flow rate of air into the cooling tower, and

$($c$)[5$ points$]$ The mass flow rate of the required makeup water

Question $3[5$ points$]$: n$-$Octane gas $($ C $8$ H $8)$ is burned with $100$ percent excess air in a constant pressure burner. The air and fuel enter this burner steadily at standard conditions and the products of combustion leave at $257C.$ Calculate the heat transfer, in $k\frac{J}{k}g$ fuel, during this combustion.