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Chapter 5: Problem 79

(a) What is meant by the term fuel value? (b) Which is a greater source of energy as food, \(5 \mathrm{~g}\) of fat or \(9 \mathrm{~g}\) of carbohydrate?

Short Answer

Expert verified
(a) Fuel value refers to the amount of energy released when a specific amount (usually 1 gram) of a substance, such as food, is completely burned or metabolized in the body. It is typically measured in calories or joules per gram. (b) Fat has an energy content of approximately 9 calories per gram, while carbohydrates have an energy content of approximately 4 calories per gram. The given mass of fat (5 grams) provides 45 calories (\(5 \mathrm{~g} \times 9 \, \frac{\mathrm{cal}}{\mathrm{g}}\)), and the given mass of carbohydrate (9 grams) provides 36 calories (\(9 \mathrm{~g} \times 4 \, \frac{\mathrm{cal}}{\mathrm{g}}\)). Therefore, the 5 grams of fat is a greater source of energy as compared to the 9 grams of carbohydrate.

Step by step solution

01

Part (a): Understanding Fuel Value

Fuel value is the amount of energy that is released when a specific amount (usually 1 gram) of a substance, such as food, is completely burned or metabolized in the body. It is typically measured in calories or joules per gram.
02

Part (b): Identifying Energy Content per Gram

To determine which is a greater source of energy, we first need to know the energy content per gram of both fat and carbohydrates. Fat has an energy content of approximately 9 calories per gram, while carbohydrates have an energy content of approximately 4 calories per gram.
03

Part (b): Calculating Energy from Fat and Carbohydrate

Next, we will calculate the total energy provided by the given mass of fat and carbohydrate. For fat: Energy from fat = (Mass of fat) 脳 (Energy content per gram of fat) Energy from fat = \(5 \mathrm{~g} \times 9 \, \frac{\mathrm{cal}}{\mathrm{g}}\) = 45 calories For carbohydrate: Energy from carbohydrate = (Mass of carbohydrate) 脳 (Energy content per gram of carbohydrate) Energy from carbohydrate = \(9 \mathrm{~g} \times 4 \, \frac{\mathrm{cal}}{\mathrm{g}}\) = 36 calories
04

Part (b): Comparing Energy Content

Now, we compare the energy content of the fat and carbohydrate. We find that the 5 grams of fat provide 45 calories while the 9 grams of carbohydrate provide 36 calories. Therefore, the 5 grams of fat is a greater source of energy as compared to the 9 grams of carbohydrate.

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Most popular questions from this chapter

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