Textbook Question
Carry out the following operations and express the answers with the appropriate number of significant numbers. (c) (3.29×104)(0.2501)
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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement111
- Ch.2 - Atoms, Molecules, and Ions166
- Ch.3 - Chemical Reactions and Reaction Stoichiometry138
- Ch.4 - Reactions in Aqueous Solution127
- Ch.5 - Thermochemistry104
- Ch.6 - Electronic Structure of Atoms109
- Ch.7 - Periodic Properties of the Elements107
- Ch.8 - Basic Concepts of Chemical Bonding102
- Ch.9 - Molecular Geometry and Bonding Theories120
- Ch.10 - Gases122
- Ch.11 - Liquids and Intermolecular Forces79
- Ch.12 - Solids and Modern Materials102
- Ch.13 - Properties of Solutions99
- Ch.14 - Chemical Kinetics153
- Ch.15 - Chemical Equilibrium83
- Ch.16 - Acid-Base Equilibria109
- Ch.17 - Additional Aspects of Aqueous Equilibria117
- Ch.18 - Chemistry of the Environment60
- Ch.19 - Chemical Thermodynamics109
- Ch.20 - Electrochemistry113
- Ch.21 - Nuclear Chemistry79
- Ch.22 - Chemistry of the Nonmetals52
- Ch.23 - Transition Metals and Coordination Chemistry57
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry7
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook
Chapter 1, Problem 56c
Determine the appropriate conversion factors for the following: c. mi to km
Verified step by step guidance1
Identify the relationship between miles and kilometers. The conversion factor is 1 mile = 1.60934 kilometers.
Set up the conversion factor as a fraction. You can write it as \( \frac{1.60934 \text{ km}}{1 \text{ mi}} \) or \( \frac{1 \text{ mi}}{1.60934 \text{ km}} \), depending on the direction of conversion.
If converting from miles to kilometers, use the conversion factor \( \frac{1.60934 \text{ km}}{1 \text{ mi}} \).
Multiply the number of miles by the conversion factor to convert to kilometers.
Ensure that the units cancel appropriately, leaving you with the desired unit of kilometers.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. This is essential in chemistry and other sciences to ensure that measurements are consistent and comparable. It often involves multiplying by a conversion factor, which is a ratio that expresses how many of one unit are equal to another unit.
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01:56
Conversion Factors
Conversion Factors
Conversion factors are specific ratios used to convert one unit of measurement to another. For example, to convert miles to kilometers, the conversion factor is 1 mile = 1.60934 kilometers. Understanding how to apply these factors correctly is crucial for accurate calculations in scientific contexts.
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01:56Conversion Factors
Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert units by canceling out dimensions. It involves multiplying the quantity by conversion factors in such a way that the unwanted units cancel out, leaving the desired units. This method ensures that the final answer is in the correct unit and is a fundamental skill in chemistry for solving problems involving different units.
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06:11Dimensional Analysis
Related Practice
Textbook Question
Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.
a. 2.791×104 + 8.76×103
b. 4.67×102 − 5.4437×104
c. (2.481×10−2 + 7.33×10−4) × (1.924×10−2 + 6.70)
d. (1.3×10−4 − 3.746×10−2)/(1.3×102 − 3.746×104)
Textbook Question
(b) The lung capacity of the blue whale is 5.0×103 L. Convert this volume into gallons.
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Textbook Question
(d) Bamboo can grow up to 60.0 cm/day. Convert this growth rate into inches per hour.
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Textbook Question
Determine the appropriate conversion factors for the following: d. ft3 to L
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Textbook Question
You have a graduated cylinder that contains a liquid (see photograph). Write the volume of the liquid, in milliliters, using the proper number of significant figures.
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