Solve the following problem using Python.

An adiabatic compressor is used to continuously compress propane ideal gas from $0\mathrm{.}8$MPa to $4$MPa and $500C$ in a steady state process. For inlet temperatures of $100C,200C,300C,$ and $400C$

$($a$)$ Compute the work required per mole of propane through this compressor.

$($b$)$Compute and plot the efficiency of the compressor vs the inlet temperature.

$($c$)$ Comment on your results.