   Chapter 12, Problem 9P

Chapter
Section
Textbook Problem

If a 1.0-kg mass is completely converted into energy, how much energy, in joules, would be released? Compare this value to the amount of energy released when 1.0 kg of liquid water at 0°C freezes.

To determine

How much energy, in joules, would be released? Compare this value to the amount of energy released when 1.0 kg of liquid water at 0 degree Celsius freezes.

Explanation

Given info:

If a 1.0 kg mass is completely converted into energy.

Formula used:

Using the mass energy relation,

E=mc2

Here, m is the mass of particle, c is speed of light and E is the energy.

Calculation:

We have, m=1.0kg and c =3×108m/s

Substituting the given values in above formula, we get energy in joules

E=(1.0kg )(3× 10 8m/s)2E=9.0×106J

The energy that is released when 1.0 kg of liquid water at 0 degree Celsius freezes will be

E=(m water )(L Latent heat of fusion)E=(1

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