   Chapter 12, Problem 53P

Chapter
Section
Textbook Problem

The surface of the Sun is approximately at 5.70 × 103 K, and the temperature of the Earth’s surface is approximately 290. K. What entropy change occurs when 1.00 × 103 J of energy is transferred by heat from the Sun to the Earth?

To determine
The entropy change occurs when the energy is transferred from sun to earth.

Explanation

Given Info:

Surface temperature of the sun is 5.70×103K .

Surface temperature of the earth is 290K .

The energy transferred by heat from sun to earth is 1.00×103J .

In this process, the energy as heat is transferred from the sun and, it is added to the earth. So the total entropy change will depends on both the entropy changes in sun and the earth.

Formula to calculate the entropy change is,

ΔStotal=ΔSearth+ΔSsun

• ΔSearth is the entropy change in earth
• ΔSsun is the entropy change in sun

Thus,

ΔStotal=+QTearth+QTsun

• Q is the energy transferred from sun to earth
• Tearth is the surface temperature of the earth
• Tsun is the surface temperature of sun

Substitute 1

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