Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure (see attached picture) 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 =THVbY-1= ___________VcY-1 and TH __________ Y=1 = __________ VdY-1 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 (see attached picture) 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
=THVbY-1= ___________VcY-1
and
TH __________ Y=1 = __________ VdY-1
Thus,
Vb/__________ = __________ / __________
then
|QC/QH| = | __________ / __________ |
Which solves the efficiency of the Carnot engine.
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