$($Show work and clear steps. Circle$/$box final answers$)$Problem $4$

The stagnation temperature of air in a combustion chamber is increased to $3\mathrm{.}5$ times its initial

value. If the air at the entry is at $5\mathrm{.}0$atm,$105^($@$)$C and a Mach of $0\mathrm{.}2.$ Determine:

$($a$)$ The Mach number, pressure, and temperature at the exit.

$($b$)$ Stagnation pressure loss.

$($c$)$ The heat supplied.