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Chemistry In Focus

6th Edition
Tro + 3 others
Publisher: Cengage Learning
ISBN: 9781305084476

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Section
BuyFindarrow_forward

Chemistry In Focus

6th Edition
Tro + 3 others
Publisher: Cengage Learning
ISBN: 9781305084476
Chapter 9, Problem 33E
Textbook Problem
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A chocolate chip cookie contains about 200 kcal. How many kilowatt-hours of energy does it contain? How long could you light a 100 W light bulb with the energy from the cookie?

Interpretation Introduction

Interpretation:

The kilowatt-hour of energy contained in Chocolate chip cookie (having 200 kcal and the duration for which a 100 W bulb can light up using that energy, are to be calculated

Concept introduction:

Unit conversion is defined as the process in which multiple steps are present and is used to convert the unit of measurement for the same given quantity. It is determined by multiplication with a conversion factor.

The fraction in which numerator and denominator are the same quantities but are determined in different units is known as a conversion factor.

The power generated by utilizing chemical or physical resources for providing heat and light or for carrying out various processes, is known as energy. The SI unit of energy is joule.

Since, 1 Kcal is equal to 1000 cal, hence, conversion factor is as follows:

1 Kcal1000 cal

Since, 1 gram calorie=4.18 joule, hence conversion factor is as follows:

4.18 J1 cal

Since, 1 Kilowatt hour=3.6×106 joule, hence, conversion factor is as follows:

3.6×106 J1 kWh

Since, 1 quads=1.6×1018 joule, hence, conversion factor is as follows:

1.6×1018 J1 quad

Explanation of Solution

Given information: Cookie contains 200 kcal and the bulb given is of 100 W.

The calories in a cookie are given. With the help of a conversion factor, the conversion of kcal into kWh is done.

The kilowatt-hour of energy is calculated as follows:

The conversion of kcal into kWh is as follows:

1 gram calorie=4.18 joule

200 kcals= (200 kcal)×(1000 cal1 kcal)×(4.18 J1cal)×(1 kWh3.6×106 J)=0

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Chemistry In Focus
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