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1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine the following. P = 5 MPa T₁ = 500°C Boiler P₁₂ =5 MPa Τ =496°C 7 = 85% W = 1,000 MW P=1 atm To=25°C Turbine 3+ P = 10 kPa a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW) b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents exergy that is lost to the environment and unavailable for power delivery. Comment on the magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s) would warrant better insulation on the pipe to reduce this exergy loss?

1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine the following. P = 5 MPa T₁ = 500°C Boiler P₁₂ =5 MPa Τ =496°C 7 = 85% W = 1,000 MW P=1 atm To=25°C Turbine 3+ P = 10 kPa a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW) b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents exergy that is lost to the environment and unavailable for power delivery. Comment on the magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s) would warrant better insulation on the pipe to reduce this exergy loss?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine the following. P = 5 MPa T₁ = 500°C Boiler P₁₂ =5 MPa Τ =496°C 7 = 85% W = 1,000 MW P=1 atm To=25°C Turbine 3+ P = 10 kPa a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW) b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents exergy that is lost to the environment and unavailable for power delivery. Comment on the magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s) would warrant better insulation on the pipe to reduce this exergy loss?
Transcribed Image Text:1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine the following. P = 5 MPa T₁ = 500°C Boiler P₁₂ =5 MPa Τ =496°C 7 = 85% W = 1,000 MW P=1 atm To=25°C Turbine 3+ P = 10 kPa a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW) b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents exergy that is lost to the environment and unavailable for power delivery. Comment on the magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s) would warrant better insulation on the pipe to reduce this exergy loss?
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