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Question: consider the rankine cycle with reheat and supercritical maximum pressure...

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Consider the Rankine Cycle with reheat and supercritical maximum pressure shown on the attached page The working fluid is water, the fluid used for condenser cooling is water, and the fuel is methane gas (CHa) The operation of the entire cycle is steady-state steady-flow. Additional information regarding the operating conditions of each component is given below: Boiler. Steam exits the boiler at 600°c, 30000 kPa (state 3). Fuel is supplied at 15 kg/s (state 11) Air is supplied at 110% of theoretical air (state 12). Both the fuel and the air enter at standard state (298 K, 100 kPa). The combustion products exit at 127°C (state 9). The entire combustion process occurs at a constant pressure of 100 kPa. Consider the air to be dry air composed of 79% 1. nd 21% O2 on a mole basis. Given the relatively low temperature of the combustion products the composition can be considered as only four chemical species: H2O, CO2, N2 and O Reheater. Steam exits the reheater at 600°c, 200 kPa (state 5). The reheater is fired separately from the boiler but also uses the same fuel and air as oxidizer. Again, the air is supplied at 110% of theoretical air and both the fuel (state 13) and the air (state 14) enter at standard state. The combustion products exit the reheater at 227°C (state 10)The entire combustion process occurs at a constant pressure of 100 kPa. Consider the air to be dry air composed of 79% N2 and 21% O2 on a mole basis. Given the relatively low temperature of the combustion products, the omposition can be considered as only four chemical species: H2O, CO2, N2 and O2 2. 3. Pump. Isentropic efficiency 0.80. The inlet condition is saturated liquid at 10°C (state 1) and the 4. Condenser. Liquid cooling water enters at 200 kPa, 5°C (state 7) and exits at 180 kPa, 10°C (state 5. High-Pressure Turbine. Isentropic efficiency 0.90. The exit pressure is 200 kPa (state 4). The 6. Low-Pressure Turbine. Isentropic efficiency 0.96. The exit pressure (state 6) is the saturation exit pressure is 30000 kPa (state 2). The operation of the pump is adiabatic 8) operation of the high-pressure turbine is adiabatic. pressure at 10°C. The operation of the low-pressure turbine is adiabatic.

5. Compute the quality (%) at the high-pressure turbine exit (state 4) 6. Compute the actual work rate (MW) for the high-pressure turbine. 7, compute the quality (%) at the low-pressure turbine exit (state 6) 8. Compute the actual work rate (MW) of the low-pressure turbine. 9. Compute the actual work rate (MW) for the pump 10. Compute the net work rate (MW) for the cycle 11, compute the ratio (%) of pump work rate to total turbine work rate 12. Compute the mass flow rate (kg/s) of cooling water for the condenser (state 7) 13. Compute the heat rate (MW) to the water in the boiler 14. Compute the heat rate (MW) to the water in the reheater 15. Report the Higher Heating Value (HHV) (kJ/kg of fuel) of the fuel based in Table 13.3 in the thermodynamics textbook (Borgnakke and Sonntag, 8th or 9th edition). Recall that HHV is the negative of the enthalpy of combustion with the water in the combustion products liquid. 16. Report the Lower Heating Value (LHV) (kl/kg of fuel) of the fuel based in Table 13.3 in the thermodynamics textbook (Borgnakke and Sonntag, 8th or 9h edition). Recall that LHV is the negative of the enthalpy of combustion with the water in the combustion products gas ompute the thermal efficiency of the cycle based on HHV. In the USA, the standard practice is to report the thermal efficiency of steam power plants or gas turbine power plants based on the HHV of the fuel. In this case, the energy input (heat input) to the cycle is taken to be the total mass flow rate of fuel times HHV 18. Compute the thermal efficiency of the cycle based on LHV. In European countries, the standard practice is to report the thermal efficiency of steam power plants or gas turbine power plants based on the LHV of the fuel. In this case, the energy input (heat input) to the cycle is taken to be the total mass flow rate of fuel times LHV. Note that thermal efficiency based on LHV will be higher that thermal efficiency based on HHV for the same power plant.

RANKINE CYCLE WITH REHEAT PRoDuCTs (0 Low PRessRe TURGE CONDE SER Hp W ATER L.P. BOILER RE HEATER 13 - 12 FuEL AIR 2 Pump

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