   Chapter 11, Problem 43P

Chapter
Section
Textbook Problem

A pond with a flat bottom has a surface area of 820 m2 and a depth of 2.0 m. On a warm day, the surface water is at a temperature of 25°C while the bottom of the pond is at 12°C. Find the rate at which energy is transferred by conduction from the surface to the bottom of the pond.

To determine
The rate of energy transfer by conduction from the surface to the bottom of the pond.

Explanation

Given info: The surface area of the pond is 820m2 , depth of the pond is 2.0 m, surface temperature of the pond is 25°C and bottom temperature is 12°C .

Formula to calculate the rate at which energy is transferred is,

P=kA(ThTc)L

• P is the rate of energy transfer,
• k is the thermal conductivity of water,
• Th is surface temperature of the pond,
• Tc is bottom temperature of the pond,
• L is the depth of the pond,

Substitute 0.6J/sm°C for k, 0°C for Tc and 25°C for Th to find P

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