# When a metal bar is connected between a hot reservoir at T h and a cold reservoir at T c , the energy transferred by heat from the hot reservoir to the cold reservoir is Q . In this irreversible process, find expressions for the change in entropy of (a) the hot reservoir, (b) the cold reservoir, and (c) the Universe, neglecting any change in entropy of the metal rod.

### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

Chapter
Section

### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 21, Problem 28P
Textbook Problem
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## When a metal bar is connected between a hot reservoir at Th and a cold reservoir at Tc, the energy transferred by heat from the hot reservoir to the cold reservoir is Q. In this irreversible process, find expressions for the change in entropy of (a) the hot reservoir, (b) the cold reservoir, and (c) the Universe, neglecting any change in entropy of the metal rod.

(a)

To determine

The expression for change in entropy of the hot reservoir.

### Explanation of Solution

The temperature of the hot reservoir is Th, the temperature of the cold reservoir is Tc and the energy transferred by heat from hot reservoir to the cold reservoir is Q.

Write the formula to calculate the change in entropy of the hot reservoir

ΔS1=ΔQT

Here, ΔS1 is the entropy change of the hot reservoir, ΔQ is the energy transferred and T is the temperature of the hot reservoir.

As the energy is transferred from the hot reservoir therefore a negative sign is taken

(b)

To determine

The expression of change in entropy of the cold reservoir.

(c)

To determine

The expression for change in entropy of the universe.

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