Consider a thermal engine filled with N molecules of a monatomic ideal gas. The gas undergoes a cyclic transformation, as shown. (Figure 1) Processes AB and CD are isothermal (constant temperature), and processes BC and DA are isochoric (constant volume). The quantities p1, P2, V₁, and V2 are defined in the figure. For example, when the gas is in state A, it has pressure p2 and volume V₁; when the gas is in state B, it has volume V₂, but the pressure is not given.
Consider a thermal engine filled with N molecules of a monatomic ideal gas. The gas undergoes a cyclic transformation, as shown. (Figure 1) Processes AB and CD are isothermal (constant temperature), and processes BC and DA are isochoric (constant volume). The quantities p1, P2, V₁, and V2 are defined in the figure. For example, when the gas is in state A, it has pressure p2 and volume V₁; when the gas is in state B, it has volume V₂, but the pressure is not given.
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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Question
A.) Find WAB, the work done by the gas during process AB.
Express the work in terms of p1, p2, V1, and/or V2.
B.) Find WBC, the work done by the gas during process BC.
Express the work in terms of p1, p2, V1, and/or V2.
C.) Find WCD, the work done by the gas during process CD.
Express the work in terms of p1, p2, V1, and/or V2.
D.) Find WDA, the work done by the gas during process DA.
Express the work in terms of p1, p2, V1, and/or V2.
E.) What is the change in internal energy UB−UA during the process AB? What is the change in internal energy UD−UC during the process CD?
F.) What is the change in internal energy UC−UB during the process BC? What is the change in internal energy UA−UD during the process DA?
G. What is the total change in the gas's internal energy after it has completed a cycle?
![P2
Pr
A
D
V₁
B
C
V₂
V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd742a27a-5245-4ae7-9188-0191445010bb%2F682c6e6c-814a-4c6f-965f-099b29abfbcb%2Fs4y9jsg_processed.png&w=3840&q=75)
Transcribed Image Text:P2
Pr
A
D
V₁
B
C
V₂
V
![Consider a thermal engine filled with N molecules of a
monatomic ideal gas. The gas undergoes a cyclic
transformation, as shown. (Figure 1) Processes AB and
CD are isothermal (constant temperature), and processes
BC and DA are isochoric (constant volume).
The quantities p1, P2, V₁, and V₂ are defined in the
figure. For example, when the gas is in state A, it has
pressure p2 and volume V₁; when the gas is in state B, it
has volume V₂, but the pressure is not given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd742a27a-5245-4ae7-9188-0191445010bb%2F682c6e6c-814a-4c6f-965f-099b29abfbcb%2Few4r9k8_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a thermal engine filled with N molecules of a
monatomic ideal gas. The gas undergoes a cyclic
transformation, as shown. (Figure 1) Processes AB and
CD are isothermal (constant temperature), and processes
BC and DA are isochoric (constant volume).
The quantities p1, P2, V₁, and V₂ are defined in the
figure. For example, when the gas is in state A, it has
pressure p2 and volume V₁; when the gas is in state B, it
has volume V₂, but the pressure is not given.
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