Chemistry: An Introduction to General, Organic, and Biological Chemistry (12th Edition)

Published by Prentice Hall
ISBN 10: 0321908449
ISBN 13: 978-0-32190-844-5

Chapter 3 - Section 3.5 - Energy and Nutrition - Questions and Problems - Page 73: 3.29b

Answer

$$m_{Fat} = 37 \space g$$

Work Step by Step

$$Energy_{Carbohydrate} = 13 \space g \times 4 \space kcal/g =52 \space kcal$$ $$Energy_{Protein} = 5 \space g \times 4 \space kcal/g =20 \space kcal$$ $$E_{Carbohydrate} + E_{Protein} + E_{Fat} = 405 \space kcal$$ $$E_{Fat} = 405 \space kcal - 52 \space kcal - 20 \space kcal$$ $$E_{Fat} = 333 \space kcal$$ $$E_{Fat} = m_{Fat} \times 9 \space kcal/g$$ $$333 \space kcal = m_{Fat} \times 9 \space kcal/g$$ $$\frac{333 \space kcal}{9 \space kcal/g} = m_{Fat}$$ $$m_{Fat} = 37 \space g$$
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