Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $20$ percent of the mass is extracted for process heating and the remaining steam expands isentropically to $9 \: kPa$.
$\begin{array}{ll} \text{Inlet to turbine: } &P = 14 \: MPa, \:T = 560^\circ C, \:h = 3486 \: kJ/kg, \: s = 6.6 \: kJ/(kg.K) \\ \text{Intermediate stage:} &h = 2776 \: kJ/kg \\ \text{Exit of turbine: } & P = 9 \: kPa, \: h_f = 174 \: kJ/kg, \: h_g = 2574 \: kJ/kg, \: s_f = 0.6 \: kJ/(kg.K), \: s_g= 8.1 \: kJ/(kg.K) \end{array}$
If the flow rate of steam entering the turbine is $100$ $kg/s$, then the work output (in $MW$) is _________
