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Steam (18kg/kmol) at 1600psi and 1000o F enters a turbine operating at steady state as shown. Twenty-two percent (22%) of the entering mass flow is extracted by duct 2 at 160psi and 450F. The rest of the steam exits at duct 3 at 1psi and 102F. The turbine develops a power output of 9×10^8 Btu/hr. Heat transfer to the surroundings accounts for 7% of the power output. Neglecting kinetic and potential energy effects,
a) Determine the mass flow rate of the steam entering the turbine in lb/hr.
b) Determine the mass flow rate of the steam entering the turbine in lb/hr by assuming that steam behaves as ideal gas at constant gama= 1.35 and compare to the exact result obtained in part a) above.
c) How would your result in part b) change if the inlet pressure is 1700psi and WHY?