#$2.$ Steam is to be supplied from a boiler to a high$-$pressure turbine whose isentropic efficiency is $85\%$ at conditions to be determined. The steam is to leave the high$-$pressure turbine as a saturated vapor at $1\mathrm{.}4$ MPa $,$ and the turbine is to produce $5\mathrm{.}5$ MW of power. Steam at the turbine exit is extracted sit a rate of $1000k\frac{g}{m}in$ and routed to a process heater while the rest of the steam is supplied to a low$-$pressure turbine whose isentropic efficiency is $80\%.$ The lowpressure turbine allows the steam to expand to $10$ kPa pressure and produces $1\mathrm{.}5$ MW of power. Determine the T$,$ P and flow rate of the steam at the inlet of the high$-$pressure turbine.