You have gotten so many flat tires on your bike that you asked for the Quincy Single$-$Stage Portable Electric

Air Compressor: $2$ HP$,24-$Gallon Horizontal, $7\mathrm{.}4$ CFM$,$ Model #Q$12124$PQ for Christmas, which was a

steal at $$599.$ Other available information for the unit is:

$($a$)$ If the efficiency of the compressor is $77\%,$ what is the outlet temperature from the compressor?

$($b$)$ You do a calculation to see if the reported volumetric flowrates of the air out of the compressor, in

ft $3$ min$1,$ are correct. How accurate were their reported values?

Assume that the compressor is adiabatic and that k is $1\mathrm{.}4.$ State all assumptions made.