Steady state separate control volumes around compressor and nozzle. For ideal compressor we have inlet : 1 and exit : 2
Adiabatic : q = 0.
Reversible: sgen = 0
Energy Eq.: h1 + 0 = wC + h2;
Entropy Eq.: s1 + 0/T + 0 = s2
Ideal compressor: wc = h1 - h2 , s2 = s1
The constant s from Eq