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4) The process of burning fuel in a turbine engine can be modeled by a heat engine that utilizes a Brayton Cycle. The Brayton Cycle consists of the following steps: 1. Adiabatic compression 2. Isobaric expansion due to heating 3. Adiabatic expansion 4. Isobaric compression Consider a turbine that starts with an initial pressure P1= 101, 325PA, an initial volume V = 2.0m3, and an initial temperature of T1= 300.0k. The gas is then compressed adiabatically to a pressure P2= 1,013,250PA. Next the gas is allowed to expand isobarically via heating. In the next step the gas expands adiabatically to a pressure P4 = 101,325Pa. a) Draw a PV diagram for one cycle of this heat engine. Make sure to include the following: • Label the step with Qh • Label the step with Qc • Label the initial point, 2nd point, 3rd point, and the 4th point. b) What are the following quantities: V2, V3, V4, T2, T3, and T4? c) What is the work done in going from points 1 to 2? d) What is the work done in going from points 3 to 4? rev e) If the engine operates at 465 what is the power output of this engine? min

4) The process of burning fuel in a turbine engine can be modeled by a heat engine that utilizes a Brayton Cycle. The Brayton Cycle consists of the following steps: 1. Adiabatic compression 2. Isobaric expansion due to heating 3. Adiabatic expansion 4. Isobaric compression Consider a turbine that starts with an initial pressure P1= 101, 325PA, an initial volume V = 2.0m3, and an initial temperature of T1= 300.0k. The gas is then compressed adiabatically to a pressure P2= 1,013,250PA. Next the gas is allowed to expand isobarically via heating. In the next step the gas expands adiabatically to a pressure P4 = 101,325Pa. a) Draw a PV diagram for one cycle of this heat engine. Make sure to include the following: • Label the step with Qh • Label the step with Qc • Label the initial point, 2nd point, 3rd point, and the 4th point. b) What are the following quantities: V2, V3, V4, T2, T3, and T4? c) What is the work done in going from points 1 to 2? d) What is the work done in going from points 3 to 4? rev e) If the engine operates at 465 what is the power output of this engine? min

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 22.4P: A gun is a heat engine. In particular, it is an internal combustion piston engine that does not...
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4) The process of burning fuel in a turbine engine can be modeled by a heat engine that utilizes a Brayton Cycle. The Brayton Cycle consists of the following steps: 1. Adiabatic compression 2. Isobaric expansion due to heating 3. Adiabatic expansion 4. Isobaric compression Consider a turbine that starts with an initial pressure P1= 101, 325PA, an initial volume V = 2.0m3, and an initial temperature of T1= 300.0k. The gas is then compressed adiabatically to a pressure P2= 1,013,250PA. Next the gas is allowed to expand isobarically via heating. In the next step the gas expands adiabatically to a pressure P4 = 101,325Pa. a) Draw a PV diagram for one cycle of this heat engine. Make sure to include the following: • Label the step with Qh • Label the step with Qc • Label the initial point, 2nd point, 3rd point, and the 4th point. b) What are the following quantities: V2, V3, V4, T2, T3, and T4? c) What is the work done in going from points 1 to 2? d) What is the work done in going from points 3 to 4? rev e) If the engine operates at 465–, what is the power output of this engine? min
Transcribed Image Text:4) The process of burning fuel in a turbine engine can be modeled by a heat engine that utilizes a Brayton Cycle. The Brayton Cycle consists of the following steps: 1. Adiabatic compression 2. Isobaric expansion due to heating 3. Adiabatic expansion 4. Isobaric compression Consider a turbine that starts with an initial pressure P1= 101, 325PA, an initial volume V = 2.0m3, and an initial temperature of T1= 300.0k. The gas is then compressed adiabatically to a pressure P2= 1,013,250PA. Next the gas is allowed to expand isobarically via heating. In the next step the gas expands adiabatically to a pressure P4 = 101,325Pa. a) Draw a PV diagram for one cycle of this heat engine. Make sure to include the following: • Label the step with Qh • Label the step with Qc • Label the initial point, 2nd point, 3rd point, and the 4th point. b) What are the following quantities: V2, V3, V4, T2, T3, and T4? c) What is the work done in going from points 1 to 2? d) What is the work done in going from points 3 to 4? rev e) If the engine operates at 465–, what is the power output of this engine? min
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