   Chapter 28, Problem 50PE

Chapter
Section
Textbook Problem

There is approximately 1034 J of energy available from fusion of hydrogen in the world's oceans. (a) If 1033 J of this energy were utilized, what would be the decrease in mass of the oceans? (b) How great a volume of water does this correspond to? (c) Comment on whether this is a significant fraction of the total mass of the oceans.

To determine

(a)

The decrease in mass of the oceans.

Explanation

Given info:

• Fusion of hydrogen produces 1034J of energy.
• 1033J of energy is utilized.

Formula used:

Formula to find mass using Einstein's mass energy equation,

Δm=E2c

Here, Δmis the converted mass of hydrogen, Eis the energy produced and cis the speed of light

To determine

(b)

The volume of 1.11×1016kgocean water.

To determine

(c)

To compare the value of Δmmduring fusion of 1kghydrogen and fission of 1kguranium.

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