$cp=1\mathrm{.}005k\frac{J}{k}g*K$ and $k=1\mathrm{.}4$

Question $3$

$($i$)$ Give the name of a nozzle that can achieve supersonic flow at the exit

$($ii$)$ For the nozzle given above, explain what happens to the pressure and

velocity from entry to exit for flow to achieve supersonic conditions.

$-($iii$)$ Air enters a nozzle at $0\mathrm{.}51$ MPa with velocity of $111\frac{m}{s}$ and temperature of

$420$ K $.$ Assuming the flow to be isentropic$,$ determine the:

$($a$)$ Determine pressure when MMa$=1$ at the exit

$[6$ marks$]$

$($b$)$ Determine Temperature when $Ma=1$ at the exit

$[6$ marks$]$

$($c$)$ Determine the speed of sound at the inlet.

$[6$ marks$]$

$($d$)$ Determine Ma at the inlet.

$[2$ marks$]$