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Physics / Physics: Principles with Applications 6 / Chapter 14 / Problem 47GP

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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Solved: To get an idea of how much thermal energy is

Chapter 21, Problem 47GP

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QUESTION:

To get an idea of how much thermal energy is contained in the world's oceans, estimate the heat liberated when a cube of ocean water, 1 Km on each side, is cooled by 1K. (Approximate the ocean water as pure water for this estimate.)

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QUESTION:

To get an idea of how much thermal energy is contained in the world's oceans, estimate the heat liberated when a cube of ocean water, 1 Km on each side, is cooled by 1K. (Approximate the ocean water as pure water for this estimate.)

ANSWER:

Step 1 of 3

Concept:

The total power radiated into space by the Sun can be calculated by using Stefan's law. Mathematical expression of Stefan’s law is:

e - the emissivity of the medium,

a - Stefan's constant,

A - cross sectional area,

T - the temperature of the Sun.

To calculate the power per unit area arriving at the Earth we need to divide the total radiated power with the spherical surface with the Sun at the center.

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