Homework $3$

An adiabatic expander operates with Nitrogen entering at $Tl=230C,Pl=17$ bar with a molar flow rate $n^{}=0\mathrm{.}25$kmol.$s^{-1}.$ The exhaust pressure is $P2=1$ bar and the expander efficiency is $=0\mathrm{.}8.$ Estimate the power output of the expander and the temperature of the exhaust stream. Assume $N_2$ to be an ideal gas at the discharge conditions.

Ethane is compressed adiabatically in a pumping station from $2500$kPa and $25C$ to $4500$ kPa at a rate of $1\mathrm{.}2$kgmol$*s^{-1}.$ If the compressor efficiency is $0\mathrm{.}8,$ what is the power requirement of the compressor and what is the discharge temperature of the gas?