Problem One:

Air is compressed steadily by a reversible compressor from an inlet state of $200$ kPa and $20C$ to

an exit pressure of $1000$ kPa $.$ Determine the compressor work per unit mass for $(a)$ isentropic

compression with $k=1\mathrm{.}4,($b$)$ polytropic compression with $n=1\mathrm{.}3,(c)$ isothermal compression,

and $(d)$ ideal two stage compression with intercooling with a polytropic exponent of $1\mathrm{.}2.$

Note: $R=0\mathrm{.}287k\frac{J}{k}g.K$