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

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 17CQ: There is no change in the internal of an ideal gas undergoing an isothermal process since the...

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Concept explainers

Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

Question

Answer Questions C) D) E)

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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