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d. On a P-V diagram plot the three processes such that the cycle is defined, include values and units on the axes. You may use Excel, MATLAB or any other application you are familiar with. e. The piston is subjected to a force produced by the pressure of the gas and therefore the displacement of the piston results in a change in gas volume. In chapter 1 you learned about the relation between force (F) and surface area of force application (A). In chapter 2 you learned that a force that produces a displacement produces work which mathematically for a generic process 1-2 is expressed as W₁,2 = ₁ F. dy= 5/²). Ady = ₁₂ P.dV. This particular type of work is called "boundary

d. On a P-V diagram plot the three processes such that the cycle is defined, include values and units on the axes. You may use Excel, MATLAB or any other application you are familiar with. e. The piston is subjected to a force produced by the pressure of the gas and therefore the displacement of the piston results in a change in gas volume. In chapter 1 you learned about the relation between force (F) and surface area of force application (A). In chapter 2 you learned that a force that produces a displacement produces work which mathematically for a generic process 1-2 is expressed as W₁,2 = ₁ F. dy= 5/²). Ady = ₁₂ P.dV. This particular type of work is called "boundary

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
Problem 1.1MA
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Problem 2 ( Nitrogen gas in a well-sealed piston-cylinder device undergoes a three-process cycle for which some of the pressure and volume values at the start and end of each process are defined in the table below. The cycle is formed by connecting states 1, 2 and 3 in sequence (1-2-3) creating Process 1-2, Process 2-3 and Process 3-1, in sequence. State Volume Process characteristics V (m³) 1 1 (start and end of cycle; also start of Process 1-2 and end of Process 3-1) 2 (end of Process 1-2 and Pressure P (kPa) 1000 Process 1-2 follows the trajectory defined by PV1.5 = C, where C is a constant Process 2-3 represents isochoric heating to state 3 Process 3-1 represents an isobaric process start of process 2-3 3 (end of Process 2-3 and 1000 start of Process 3-1) Please answer the following questions. a. For process 1-2 determine the value of the constant C, include its units. b. Sketch the processes on a P-V plane and determine the missing values for P and V in the table above. c. Is Process 3-1 a compression or an expansion process? Explain why and create a schematic for the system, include the boundary and all the energies you suspect cross the boundary. d. On a P-V diagram plot the three processes such that the cycle is defined, include values and units on the axes. You may use Excel, MATLAB or any other application you are familiar with. e. The piston is subjected to a force produced by the pressure of the gas and therefore the displacement of the piston results in a change in gas volume. In chapter 1 you learned about the relation between force (F) and surface area of force application (A). In chapter 2 you learned that a force that produces a displacement produces work which mathematically for a generic process 1-2 is expressed as W₁,2 = ₁ F. dy= √3/₂ () Ady = f P.dV. This particular type of work is called "boundary y₁ work." For each process, please compute the boundary work that results from using the expression, include the units. f. Now that you have computed the boundary work for each process, compute the work done by this cycle by adding the work for each process.
Transcribed Image Text:Problem 2 ( Nitrogen gas in a well-sealed piston-cylinder device undergoes a three-process cycle for which some of the pressure and volume values at the start and end of each process are defined in the table below. The cycle is formed by connecting states 1, 2 and 3 in sequence (1-2-3) creating Process 1-2, Process 2-3 and Process 3-1, in sequence. State Volume Process characteristics V (m³) 1 1 (start and end of cycle; also start of Process 1-2 and end of Process 3-1) 2 (end of Process 1-2 and Pressure P (kPa) 1000 Process 1-2 follows the trajectory defined by PV1.5 = C, where C is a constant Process 2-3 represents isochoric heating to state 3 Process 3-1 represents an isobaric process start of process 2-3 3 (end of Process 2-3 and 1000 start of Process 3-1) Please answer the following questions. a. For process 1-2 determine the value of the constant C, include its units. b. Sketch the processes on a P-V plane and determine the missing values for P and V in the table above. c. Is Process 3-1 a compression or an expansion process? Explain why and create a schematic for the system, include the boundary and all the energies you suspect cross the boundary. d. On a P-V diagram plot the three processes such that the cycle is defined, include values and units on the axes. You may use Excel, MATLAB or any other application you are familiar with. e. The piston is subjected to a force produced by the pressure of the gas and therefore the displacement of the piston results in a change in gas volume. In chapter 1 you learned about the relation between force (F) and surface area of force application (A). In chapter 2 you learned that a force that produces a displacement produces work which mathematically for a generic process 1-2 is expressed as W₁,2 = ₁ F. dy= √3/₂ () Ady = f P.dV. This particular type of work is called "boundary y₁ work." For each process, please compute the boundary work that results from using the expression, include the units. f. Now that you have computed the boundary work for each process, compute the work done by this cycle by adding the work for each process.
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