$5.$ A processing plant requires $7200$kg$/$h of saturated steam or slightly superheated steam at $0\mathrm{.}4$Mpa, which is extracted from a steam turbine. The turbine receives $5$kg$/$s of steam at $7\mathrm{.}5$Mpa and $450\backslash$deg C$.$ The saturated liquid condensate from the process heater is pumped back into the discharge line of the feed pump. The condenser pressure is $10$Kpa. Determine $($a$)$ the net power produced; $($b$)$ the utilization factor;$($c$)$ the enthalpy of the water entering the steam generator.