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. The Volume at point 3 is 2.5m³ (V3). 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. The Volume at point 3 is 2.5m³ (V3). 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

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

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