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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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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.

Carnot cycle QH W TH to 2016 Pearson Education, Inc.
Transcribed Image Text:Carnot cycle QH W TH to 2016 Pearson Education, Inc.
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