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.
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