A gas-turbine power plant operates on the simple Brayton cycle with air as the working fluid and delivers 32 MW of power. The minimum and maximum temperatures in the cycle are 310 and 900 K, and the pressure of air at the compressor exit is 8 times the value at the compressor inlet. Assuming an isentropic efficiency of 80 percent for the compressor and 86 percent for the turbine, determine the mass flow rate of air through the cycle. Account for the variation of specific heats with temperature.

A gas-turbine power plant operates on the simple Brayton cycle with air as the working fluid and delivers 32 MW of power. The minimum and maximum temperatures in the cycle are 310 and 900 K, and the pressure of air at the compressor exit is 8 times the value at the compressor inlet. Assuming an isentropic efficiency of 80 percent for the compressor and 86 percent for the turbine, determine the mass flow rate of air through the cycle. Account for the variation of specific heats with temperature.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle (∊ = 100 percent) with air as the working fluid. Air enters the compressor at 95 kPa and 290 K and the turbine at 880 kPa and 1100 K. Heat is transferred to air from an external source at a rate of 30,000 kJ/s. Determine the power delivered by this plant assuming constant specific heats for air at room temperature.
A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1200 kPa. The working fluid is air, which enters the compressor at 30°C at a rate of 150 m3/min and leaves the turbine at 500°C. Using constant specific heats for air and assuming a compressor isentropic efficiency of 82 percent and a turbine isentropic efficiency of 88 percent, determine (a) the net power output, (b) the work ratio, and (c) the thermal efficiency.
A simple Rankine cycle has a pump with an isentropic efficiency of 70%. The inlet and outlet pressures of the turbine are 6 MPa and 0.075 MPa, respectively, and steam enters the turbine at 550°C. Determine a) the isentropic efficiency of the turbine if the quality at the turbine outlet is to be ? = 1, b) the thermal efficiency of the cycle, c) the rate of heat input into the boiler if the net power output of the cycle is 10 MW.
A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 200 and 1500 kpa. The working fluid as air, which enters the compressor at 30C at a rate of 20 kg/s and enters at the turbine at 900k. Using variable specific heats for air and assuming a compressor isoentropic afficiency of 90 % and a turbine isentropic efficiency of 100%, determine a) the net power output, b) the back work ratio, and c) the thermal efficiency
A steam power plant operates on a simple ideal Rankine cycle between the pressure limits of3 MPa and 50 kPa. The temperature of the steam at the turbine inlet is 300°C, and the massflow rate of steam through the cycle is 35 kg/s. Show the cycle on a T-s diagram with respectto saturation lines, and determine (a) the thermal efficiency of the cycle and (b) the net poweroutput of the power plant.
A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1600 kPa. The working fluid is air, which enters the compressor at 40°C at a rate of 850 m3 /min and leaves the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent, determine the net power output.
The 7FA gas turbine manufactured by General Electric is reported to have an efficiency of 35.9 percent in the simple-cycle mode and to produce 159 MW of net power. The pressure ratio is 14.7 and the turbine inlet temperature is 1288°C. The mass flow rate through the turbine is 1,536,000 kg/h. Taking the ambient conditions to be 20°C and 100 kPa, determine: (a) the isentropic efficiency of the turbine and the compressor, (b) the thermal efficiency of this gas turbine if a regenerator with an effectiveness of 80 percent is added. Answers: (a) 0.849, 0.924 (b) 0.496
Air is used as the working fluid in a simple ideal Brayton cycle that has a pressure ratio of 12, a compressor inlet temperature of 300 K, and a turbine inlet temperature of 1000 K. Determine the required mass flow rate of air for a net power output of 70 MW, assuming both the compressor and the turbine have an isentropic efficiency of 85 percent. Assume constant specific heats at room temperature.
A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle (∊ = 100 percent) with air as the working fluid. Air enters the compressor at 95 kPa and 290 K and the turbine at 880 kPa and 1100 K. Heat is transferred to air from an external source at a rate of 30,000 kJ/s. Determine the power delivered by this plant accounting for the variation of specific heats with temperature.
Consider a Carnot cycle executed in a closed system with air as the working fluid. The maximum pressure in the cycle is 1300 kPa while the maximum temperature is 950 K. If the entropy increase during the isothermal heat addition process is 0.25 kJ/kg·K and the net work output is 110 kJ/kg, determine the thermal efficiency of the cycle.
Consider a Carnot cycle executed in a closed system with air as the working fluid. The maximum pressure in the cycle is 1300 kPa while the maximum temperature is 950 K. If the entropy increase during the isothermal heat addition process is 0.25 kJ/kg·K and the net work output is 110 kJ/kg, determine the heat rejection from the cycle.
A six-cylinder, four-stroke, spark-ignition engine operating on the ideal Otto cycle takes in air at95 kPa and 17 °C, and is limited to a maximum cycle temperature of 870 °C. Each cylinder has abore of 8.9 cm and each piston has a stroke of 9.9 cm. The minimum enclosed volume is 14% ofthe maximum enclosed volume. How much power will this engine produce when operated at 2500rpm? Use constant specific heats at room temperature.