e compressor to be isentropic$,$ determine $($a$)$ the stagnation pressure at ompressor inlet and $($b$)$ the required compressor work per unit mass if stagnation pressure ratio of the compressor is $8.$

Question $2$

Air enters a converging$-$diverging nozzle, shown in Fig. $12-22,$ at $1\mathrm{.}0$ MPa and $800$ K with negligible velocity. The flow is steady, one$-$dimensional, and isentropic with $k=1\mathrm{.}4.$ For an exit Mach number of $Ma=2$ and a throat area of $20c{m}^2,$ determine $($a$)$ the throat conditions, $($b$)$ the exit plane conditions, including the exit area, and $($c$)$ the mass flow rate through the nozzle.