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.
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
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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