Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete cycle of Carnot engine, where the cycle goes from ad->ab->bc->cd Where segments ad & bc are the processes and segment ab & cd are the processes; and the volumes involved are Va, Vb, Vc, Vd, and the two temperatures TC and Sol. Since , then the heat on segment ab is QH = TH ln |/| The heat on segment cd is QC = - TC ln |/| By inspection, we can say that = and = Thus, Vb/ = / then |QC/QH| = |/| Which solves the efficiency of the Carnot engine.
Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete cycle of Carnot engine, where the cycle goes from ad->ab->bc->cd Where segments ad & bc are the processes and segment ab & cd are the processes; and the volumes involved are Va, Vb, Vc, Vd, and the two temperatures TC and Sol. Since , then the heat on segment ab is QH = TH ln |/| The heat on segment cd is QC = - TC ln |/| By inspection, we can say that = and = Thus, Vb/ = / then |QC/QH| = |/| Which solves the efficiency of the Carnot engine.
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Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete cycle of Carnot engine, where the cycle goes from ad->ab->bc->cd
Where segments ad & bc are the processes and segment ab & cd are the processes; and the volumes involved are Va, Vb, Vc, Vd, and the two temperatures TC and
Sol.
Since , then the heat on segment ab is
QH = TH ln |/|
The heat on segment cd is
QC = - TC ln |/|
By inspection, we can say that
=
and
=
Thus,
Vb/ = /
then
|QC/QH| = |/|
Which solves the efficiency of the Carnot engine.
![Sol.
Since AU = 0, then the heat on segment ab is
%3D
QH =
TH In |
The heat on segment cd is
QC =
TC In |
By inspection, we can say that
VY-1
H'b
and
TH
Y-1_
d
Thus,
Vb/
then
TQC/QH| = |
Which solves the efficiency of the Carnot engine.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed31e1b8-df36-46ad-ac32-f93dcf0533dd%2F6cc204d3-26a5-482a-98e2-1fdd1c118d2c%2F6vejtxg_processed.png&w=3840&q=75)
Transcribed Image Text:Sol.
Since AU = 0, then the heat on segment ab is
%3D
QH =
TH In |
The heat on segment cd is
QC =
TC In |
By inspection, we can say that
VY-1
H'b
and
TH
Y-1_
d
Thus,
Vb/
then
TQC/QH| = |
Which solves the efficiency of the Carnot engine.
![(17 blanks) Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete
cycle of Carnot engine, where the cycle goes from ad->ab->bc->cd
Carnot cycle
TH
LTc
V
© 2016 Pearson Education, Inc.
processes and segment ab & cd are the
Where segments ad & bc are the
processes; and the volumes involved are Va, Vb, Vc, Vd, and the two temperatures
TC and
Sol.
Since AU =
0, then the heat on segment ab is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed31e1b8-df36-46ad-ac32-f93dcf0533dd%2F6cc204d3-26a5-482a-98e2-1fdd1c118d2c%2Fo2zqn3m_processed.png&w=3840&q=75)
Transcribed Image Text:(17 blanks) Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete
cycle of Carnot engine, where the cycle goes from ad->ab->bc->cd
Carnot cycle
TH
LTc
V
© 2016 Pearson Education, Inc.
processes and segment ab & cd are the
Where segments ad & bc are the
processes; and the volumes involved are Va, Vb, Vc, Vd, and the two temperatures
TC and
Sol.
Since AU =
0, then the heat on segment ab is
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