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Ch.2 Chemistry and Measurements
Timberlake - Chemistry: An Introduction to General, Organic, and Biological Chemistry 13th Edition
Timberlake13th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9780134421353Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 121a

An athlete with a body mass of 65 kg has 3.0% body fat. How many pounds of body fat does that person have?

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1
Step 1: Understand the problem. The athlete's body mass is given as 65 kg, and 3.0% of this mass is body fat. The goal is to calculate the mass of body fat in pounds. Note that 1 kg = 2.20462 pounds.
Step 2: Calculate the mass of body fat in kilograms. Use the percentage formula: \( \text{Mass of body fat (kg)} = \text{Total body mass (kg)} \times \frac{\text{Percentage of body fat}}{100} \).
Step 3: Substitute the given values into the formula: \( \text{Mass of body fat (kg)} = 65 \times \frac{3.0}{100} \). Perform this calculation to find the body fat mass in kilograms.
Step 4: Convert the mass of body fat from kilograms to pounds. Use the conversion factor \( 1 \text{ kg} = 2.20462 \text{ pounds} \). The formula is: \( \text{Mass of body fat (pounds)} = \text{Mass of body fat (kg)} \times 2.20462 \).
Step 5: Perform the conversion calculation to determine the mass of body fat in pounds. This will give you the final answer.

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Body Mass and Body Fat Percentage

Body mass refers to the total weight of an individual, while body fat percentage indicates the proportion of that weight that is made up of fat. In this case, the athlete's body mass is 65 kg, and their body fat percentage is 3.0%, which means that 3% of their total weight is fat.
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Percorso guidato
1:41
Ketone Bodies Example 1

Conversion Between Kilograms and Pounds

To solve the problem, it's essential to convert the body mass from kilograms to pounds, as the final answer requires the weight of body fat in pounds. The conversion factor is approximately 2.20462 pounds per kilogram, which allows for accurate translation of weight measurements between these two units.
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Percorso guidato
02:10
Conversion Factors (Simplified) Concept 2

Calculating Body Fat Weight

To find the weight of body fat, multiply the total body mass by the body fat percentage (expressed as a decimal). For this athlete, the calculation involves taking 3.0% of 65 kg, which gives the total weight of body fat in kilograms, and then converting that result to pounds for the final answer.
Video consigliato:
Percorso guidato
1:41
Ketone Bodies Example 1