A gas-turbine power plant operates on a modified Brayton cycle with anoverall pressure ratio of 8. Air enters the compressor at 0°C and 100 kPa. The maximumcycle temperature is 1500 K. The compressor and the turbines are isentropic. The high-pressure turbine develops just enough power to run the compressor. Assume constantproperties for air at 300 K with C₁ = 0.718 kJ/kg K, Cp= 1.005 kJ/kg K, R = 0.287kJ/kg K, k=1.4.(a)Sketch the (T-s) diagram for the cycle.(b) Determine the temperature and pressure at state 4, the exit of the high-pressure turbine.(c) If the net power output is 200 MW, determine the mass flow rate of the air into thecompressor, in kg/s.

Answered: A gas-turbine power plant operates on a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall pressure ratio of 8. Air enters the compressor at 0°C and 100 kPa. The maximum cycle temperature is 1500 K. The compres¬sor and the turbines are isentropic. The high-pressure turbine develops just enough power to run the compressor. Assume constant properties for air at 300 K as cv = 0.718 kJ/kg·K, cp = 1.005 kJ/kg·K, R = 0.287 kJ/kg·K, k = 1.4. (a) Sketch the T-s diagram for the cycle. Label the data states. (b) Determine the temperature and pressure at state 4, the exit of the high-pressure turbine. (c) If the net power output is 200 MW, determine the mass flow rate of the air into the compressor in kg/s.
The ideal air-standard Brayton cycle operates with air entering the compressor at 95 kPa, 22°C. The pressure ratio rp is 6:1 and the air leaves the heat addition process at 1100 K. Determine the compressor work and the turbine work per unit mass flow, the cycle efficiency, the back work ratio, and compare the compressor exit temperature to the turbine exit temperature. Assume constant properties.
Required information A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall pressure ratio of 8. Air enters the compressor at 0°C and 108 kPa. The maximum cycle temperature is 1500 K. The compressor and the turbines are isentropic. The high-pressure turbine develops just enough power to run the compressor. Assume constant properties for air at 300 K with cy=0.718 kJ/kg-K, cp=1005 kJ/kg-K. R=0.287 kJ/kg-K, and k=1.4. Combustion chamber Compressor to High-pressure Determine the temperature and pressure at state 4, the exit of the high-pressure turbine. The temperature at state 4 is The pressure at state 4 is [ K. Low-pressure kPa.
A Brayton cycle with a pressure ratio of 15 operates with air entering the compressor at 70 kPa and 0°C, and the turbine at 600°C. Calculate the net specific work produced by this cycle treating the air as an ideal gas with variable specific heats.
A gas turbine power plant operates on a simple thermodynamic cycle. The ambient conditionsare 100 kPa and 24 °C. The air at this condition enters the engine at 150 m/s whose diameteris 0.5 m. The pressure ratio across the compressor is 18 k and the temperature at the turbineinlet is 1400 K. Assuming ideal operation for all components and specific heats for air andproducts separately. In addition, neglect the mass of fuel burned. Do the followings:a. Choose the suitable thermodynamic cycleb.Draw pv and Ts diagram and label itCalculate the power required by the compressordDetermine the pressure and the temperature at the turbine exit,Compute the power produced by the turbinef.Available specific workg.The thermal efficiency
A gas turbine power plant operates on a simple thermodynamic cycle. The ambient conditionsare 100 kPa and 24 °C. The air at this condition enters the engine at 150 m/s whose diameteris 0.5 m. The pressure ratio across the compressor is 19, and the temperature at the turbineinlet is 1400 K. Assuming ideal operation for all components and specific heats for air andproducts separately. In addition, neglect the mass of fuel burned. Do the followings:a. Choose the suitable thermodynamic cycleb. Draw pv and Ts diagram and label itc. Calculate the power required by the compressord. Determine the pressure and the temperature at the turbine exit,e. Compute the power produced by the turbinef. Available specific workg. The thermal efficiency
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Determine the thermal efficiency.The adiabatic compression is reversible for An Otto-cycle and the expansion processes are reversible. engine takes air at 25 deg C, with initial pressure 1.1 b with a specific volume of 0..78 m3/kg. The compression ratio is 15 and the peak cycle temperature is equal to 1560 Deg C.
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Instead, assume variable specific heat A gas-turbine power plant operates on the simpleBrayton cycle between the pressure limits of 100 and 800 kPa.Air enters the compressor at 308C and leaves at 3308C at amass flow rate of 200 kg/s. The maximum cycle temperatureis 1400 K. During operation of the cycle, the net power outputis measured experimentally to be 60 MW. Assume constantproperties for air at 300 K with cv 5 0.718 kJ/kg·K, cp 51.005 kJ/kg·K, R 5 0.287 kJ/kg·K, k 5 l.4.(a) Sketch the T-s diagram for the cycle.(b) Determine the isentropic efficiency of the turbine forthese operating conditions.(c) Determine the cycle thermal efficiency.

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