   # Conversion of Energy Units The complete combustion of a small wooden match produces approximately 512 cal of heat. How many kilojoules (kJ) are produced? ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 9, Problem 9.1YT
Textbook Problem
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## Conversion of Energy UnitsThe complete combustion of a small wooden match produces approximately 512 cal of heat. How many kilojoules (kJ) are produced?

Interpretation Introduction

Interpretation:

The heat (in kilojoules) that is produced during the complete combustion of a small wooden match is to be determined.

Concept introduction:

Unit conversion is defined as the process in which multiple steps are used to convert the unit of measurement of the same given quantity.

Solution: 2.14 kJ

### Explanation of Solution

Given information: The complete combustion of a small wooden match produces approximately 512 cal of heat.

As it is known, one calorie is equal to 4.18 J. Therefore, it can be written as:

1 cal=4.18 J

Conversion factor cal to joul is as:

4.18 J1 cal

The amount of heat produced by combusting a small wooden match is 512 cal can be converted in joules as follows:

Heat=512 cal×4.18 J1 cal=2140.16 J=2.14×103 J

As it is known, 1 kilojoule is 1000 joules, hence conversion factor is as:

1kJ103

For converting heat into kilojoules, it is divided by 103 as follows:

2.14×103 J=2.14×103J1kJ103J  =2.14 kJ

Conclusion

During the complete combustion of a small wooden match, 2.14 kJ heat will be produced.

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