$6$: An adiabatic air compressor is to be powered by a direct$-$coupled adiabatic steam turbine that is also driving a generator. Steam enters the turbine at $10$ MPa and $\backslash (500^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at a rate of $\backslash (25\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ and exits at $10$ kPa and a quality of $0\mathrm{.}85.$ Air enters the compressor at $98$ kPa and $295$ K at a rate of $\backslash (10\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ and exits at $1$ MPa and $620$ K $.$ Determine the net power delivered to the generator by the turbine.