Chapter 12, Problem 9P

### Inquiry into Physics

8th Edition
Ostdiek
ISBN: 9781337515863

Chapter
Section

### Inquiry into Physics

8th Edition
Ostdiek
ISBN: 9781337515863
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 0Â°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=1.0â€‰kgÂ andÂ cÂ =3Ã—108m/s

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

E=(1.0â€‰kgÂ )(3Ã— 10 8m/s)2E=9.0Ã—106J

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

E=(m waterÂ )(L LatentÂ heatÂ ofÂ fusion)E=(1

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