Problem $3$:

Air enters the diffuser of a ramjet engine at $50$kPa,$230K,$ with

a velocity of $2600k\frac{m}{h}$ and decelerates to negligible velocity.

On the basis of an air$-$standard analysis, the heat addition is

$1050$ kJ per kg of air passing through the engine. Air exits the

nozzle at $50$ kPa $.$ Determine $($a$)$ the pressure at the diffuser exit,

in kPa $.($b$)$ the velocity at the nozzle exit, in $\frac{m}{s}.$ Neglect kinetic

energy except at the diffuser inlet and the nozzle exit.