Textbook Question
Use metric conversion factors to solve each of the following problems:
a. The Daily Value (DV) for phosphorus is 800 mg. How many grams of phosphorus are recommended?
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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 63b
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?
Verified step by step guidance1
Step 1: Understand the problem. You are tasked with converting the weight of a person from pounds (lb) to kilograms (kg). To do this, you need to use a conversion factor that relates pounds to kilograms.
Step 2: Recall the conversion factor between pounds and kilograms. The relationship is: 1 lb = 0.453592 kg.
Step 3: Set up the conversion. Multiply the given weight in pounds (175 lb) by the conversion factor (0.453592 kg/lb). This ensures that the unit 'lb' cancels out, leaving the result in kilograms.
Step 4: Write the equation for the conversion: \( \text{Mass in kilograms} = 175 \times 0.453592 \).
Step 5: Perform the multiplication to find the mass in kilograms. Ensure the final answer is expressed with the correct number of significant figures based on the given data (175 lb has 3 significant figures).
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Conversion Factors
Conversion factors are ratios that express how many of one unit are equal to another unit. They are essential in converting measurements from one system to another, such as from pounds to kilograms. For example, knowing that 1 pound is approximately 0.453592 kilograms allows for straightforward calculations to convert weight.
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Conversion Factors (Simplified) Example 2
Weight vs. Mass
Weight is the force exerted by gravity on an object, typically measured in pounds or newtons, while mass is the amount of matter in an object, measured in kilograms or grams. In this context, the weight of a person in pounds needs to be converted to mass in kilograms, which requires understanding the relationship between these two concepts.
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SI Units
The International System of Units (SI) is the standard system of measurement used in science and engineering. It provides a consistent framework for measurements, where the kilogram is the base unit for mass. Understanding SI units is crucial for accurately converting and interpreting measurements in scientific contexts.
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Related Practice
Textbook Question
Use metric conversion factors to solve each of the following problems:
d. A jar contains 0.29 kg of olives. How many grams of olives are in the jar?
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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?
1577
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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:
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?
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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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