Textbook Question
Solve each of the following problems using one or more conversion factors:
c. An athlete has 15% body fat by mass. What is the weight of fat, in pounds, of a 74-kg athlete?
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Ch.2 Chemistry and Measurements
Timberlake14thChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249
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Table of contents
- Ch.1 Chemistry in Our Lives19
- Ch.2 Chemistry and Measurements80
- Ch.3 Matter and Energy53
- Ch.4 Atoms and Elements58
- Ch.5 Nuclear Chemistry42
- Ch.6 Ionic and Molecular Compounds57
- Ch.7 Chemical Quantities and Reactions38
- Ch.8 Gases30
- Ch.9 Solutions50
- Ch.10 Acids and Bases and Equilibrium64
- Ch.11 Introduction to Organic Chemistry: Hydrocarbons77
- Ch.12 Alcohols, Thiols, Ethers, Aldehydes, and Ketones82
- Ch.13 Carbohydrates54
- Ch.14 Carboxylic Acids, Esters, Amines, and Amides91
- Ch.15 Lipids61
- Ch.16 Amino Acids, Proteins, and Enzymes84
- Ch.17 Nucleic Acids and Protein Synthesis86
- Ch.18 Metabolic Pathways and ATP Production73
Timberlake14thChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249Not the one you use?Change textbook
Chapter 2, Problem 63d
Solve each of the following problems using one or more conversion factors:
d. A plant fertilizer contains 15% nitrogen (N) by mass. In a container of soluble plant food, there are 10.0 oz of fertilizer. How many grams of nitrogen are in the container?
Verified step by step guidance1
Step 1: Identify the given information. The fertilizer contains 15% nitrogen by mass, and the container has 10.0 oz of fertilizer. We need to calculate the mass of nitrogen in grams.
Step 2: Convert the mass of fertilizer from ounces to grams. Use the conversion factor: 1 oz = 28.3495 g. Multiply 10.0 oz by 28.3495 g/oz to find the mass of fertilizer in grams.
Step 3: Calculate the mass of nitrogen in the fertilizer. Since the fertilizer contains 15% nitrogen by mass, multiply the total mass of fertilizer (in grams) by 0.15 (representing 15%).
Step 4: Ensure the units are consistent throughout the calculation. The final result will be in grams of nitrogen.
Step 5: Double-check the calculation setup to confirm that the conversion factors and percentage are applied correctly.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mass Percentage
Mass percentage is a way of expressing the concentration of a component in a mixture. It is calculated by dividing the mass of the component by the total mass of the mixture and multiplying by 100. In this case, the fertilizer contains 15% nitrogen by mass, meaning that 15 grams of nitrogen are present in every 100 grams of fertilizer.
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Mass Percent Concept
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, we need to convert ounces to grams to find the mass of nitrogen. Knowing that 1 ounce is approximately 28.35 grams allows us to perform this conversion accurately, ensuring that all measurements are in compatible units for calculation.
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01:56Conversion Factors (Simplified) Concept 1
Calculating Mass of a Component
To find the mass of a specific component in a mixture, you multiply the total mass of the mixture by the mass percentage of that component. In this scenario, after converting the mass of fertilizer from ounces to grams, we can calculate the mass of nitrogen by applying the formula: mass of nitrogen = total mass of fertilizer × (mass percentage of nitrogen / 100). This step is crucial for determining the exact amount of nitrogen present.
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Related Practice
Textbook Question
Solve each of the following problems using one or more conversion factors:
b. What is the mass, in kilograms, of a person who weighs 175 lb?
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Textbook Question
Solve each of the following problems using one or more conversion factors:
a. A container holds 0.500 qt of liquid. How many milliliters of lemonade will it hold?
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Textbook Question
Solve each of the following problems using one or more conversion factors:
a. Wine is 12% alcohol by volume. How many milliliters of alcohol are in a 0.750-L bottle of wine?
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Textbook Question
Using conversion factors, solve each of the following clinical problems:
a. You have used 250 L of distilled water for a dialysis patient. How many gallons of water is that?
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Textbook Question
Using conversion factors, solve each of the following clinical problems:
b. A patient needs 0.024 g of a sulfa drug. There are 8-mg tablets in stock. How many tablets should be given?
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