ower plant producing 10 MW of power using air-standard regenerative Brayton cycle operating at steady state with intercooling and reheat. Operating data at principal states in the cycle are given in the table below. The states are numbered as in Fig. below. (a) Sketch the T–s diagram and determine (b) the mass flow rate of air, in kg/s, (c) the rate of heat transfer, in kW, to the working fluid passing through each combustor, (d) the thermal efficiency.

A steam turbine drives an air compressor-all power produced by the turbine is sent to the compressor; there is no extra power produced. Steady-state operating data are provided on the figure. Assume the ideal gas model for air, and ignore stray heat transfer and kinetic and potential energy effects. Steam 1 STATE DATA for SYSTEM P, = 30 bar T, = 600°C m = 1.5 kg/s n = 80% P2 = 3 bar P3 = 1 bar T3 = 27°C Turbine Compressor %3D 2 Air

1- For modeling a gas turbine power plant producing 10 MW of power, the ideal air-standard Brayton cycle operating at steady state is used. Operating data at principal states in the cycle are given in the table below. The states are numbered as in Fig. below. (a) Sketch the T–s diagram for the cycle and determine (b) the mass flow rate of air, in kg/s, (c) the rate of heat transfer, in kW, to the working fluid passing through the heat exchanger, (d) the thermal efficiency.

4Air enters the compressor of a simple gas turbine at p1 = 14 lbf/in2, T1 = 520°R. The isentropic efficiencies of the compressor and turbine are 83 and 87%, respectively. The compressor pressure ratio is 12 and the temperature at the turbine inlet is 2500°R. The volumetric flow rate of the air entering the compressor is 9000 ft3/min. Use an air-standard analysis. a) Determine the net power developed, in Btu/h.   b) Determine the thermal efficiency of the cycle.   c) The temperatures at the compressor and turbine exits in °R.   d) The temperatures at the compressor and turbine enters in °R rmine the net power developed, in Btu/h .

Air enters a two-stage compressor operating at steady state at 520°R, 14 Ibf/in.2 The overall pressure ratio across the stages is 16 and each stage operates isentropically. Intercooling occurs at constant pressure at the value that minimizes compressor work input, with air exiting the intercooler at 520°R. When the temperature of the air entering each compressor stage is the same, the minimum total compressor work input per unit of mass flowing occurs when the pressure ratio is the same across each stage. Assuming ideal gas behavior, with k = 1.4, determine the work per unit mass of air flowing for the two-stage compressor, in Btu per Ib of air flowing. W. Btu/lb m

Air enters a compressor operating at steady state at 14 Ibf/in?, 60°F, with a volumetric flow rate of 6400 ft/min. The compression occurs in two stages, with each stage being a polytropic process with n= 1.27. The air is cooled to 80°F between the stages by an intercooler operating at 45 Ibf/in?. Air exits the compressor at 150 Ibf/in?. Step 1 Determine the magnitude of the total power required by the compressor, in Btu/min. W. i Btu/min

Figure shows a simple vapor power plant operating at steady state with water as the working fluid. Data at key locations are given on the figure. The mass flow rate of the water circulating through the components is 109 kg/s. Stray heat transfer and kinetic and potential energy effects can be ignored. Determine: (a) the mass flow rate of the cooling water, in kg/s. (b) the thermal efficiency. (c) the rates of entropy production, each in kW/K, for the turbine, condenser, and pump. (d) Using the results of part (c), place the components in rank order, beginning with the component contributing most to inefficient operation of the overall system. verl

Figure shows data for a portion of the ducting in ventilation system operating at steady state. The ducts are well insulated and the pressure is very nearly 1 bar throughout. Assuming the ideal gas model for air with Cp  = 1 kJ/kg · K. and ignoring kinetic and potential energy effects, determine: (a) the temperature of the air at the exit, in °C. (b) the exit diameter, in m. (c) the rate of entropy production within the duct, in kJ/min.