   Chapter 12, Problem 34P

Chapter
Section
Textbook Problem

A heat engine is being designed to have a Carnot efficiency of 65% when operating between two heat reservoirs. (a) If the temperature of the cold reservoir is 20°C, what must be the temperature of the hot reservoir? (b) Can the actual efficiency of the engine be equal to 65%? Explain.

(a)

To determine
the temperature of the hot reservoir.

Explanation

Given Info:

The Carnot efficiency of the engine is 65% .

Temperature of the cold reservoir is 20°C .

From Carnot efficiency formula,

ec=1TcTh

• Tc is the absolute temperature of cold reservoir
• Th is the absolute temperature of the hot reservoir

Thus,

Th=Tc1ec

Substitute 65% for ec and 20<

(b)

To determine
whether the actual efficiency of the engine can be Carnot efficiency.

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