$5-36$E Air at $13$ psia and $\backslash (50^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$ enters an adiabatic diffuser with a constant velocity of $\backslash (600\backslash$mathrm$\{$ft$\}/\backslash$mathrm$\{$s$\}\backslash )$ and exits at a slow velocity at a pressure of $14\mathrm{.}5$ psia. The area at the exit of the diffuser is $4$ times the area at the entrance. Determine $($a$)$ the temperature of the air at the exit, and $($b$)$ its velocity at the exit. $($c$)$ PV $($Pressure vs$.$ Volume$),$ TS

$($Temperature vs$.$ Entropy$),$ and hs $($Enthalpy vs$.$ Entropy$)$ diagrams.