Textbook Question
(b) The lung capacity of the blue whale is 5.0×103 L. Convert this volume into gallons.
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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 58a
(a) The speed of light in a vacuum is 2.998×108 m/s. Calculate its speed in miles per hour.
Verified step by step guidance1
Identify the given speed of light in a vacuum: \(2.998 \times 10^8\) meters per second (m/s).
Convert meters to miles. Use the conversion factor: 1 mile = 1609.34 meters.
Convert seconds to hours. Use the conversion factor: 1 hour = 3600 seconds.
Combine the conversion factors to convert the speed from meters per second to miles per hour.
Perform the unit conversion by multiplying the speed in m/s by the conversion factors to obtain the speed in miles per hour.
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Speed of Light
The speed of light in a vacuum is a fundamental constant of nature, denoted as 'c', with a value of approximately 2.998×10^8 meters per second. This speed is crucial in physics and chemistry as it represents the maximum speed at which information or matter can travel. Understanding this constant is essential for calculations involving electromagnetic radiation and relativistic effects.
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00:57
Speed of Light Formula
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this case, converting the speed of light from meters per second to miles per hour involves using conversion factors, specifically that 1 mile is approximately 1609.34 meters and 1 hour is 3600 seconds. Mastery of unit conversion is vital in chemistry for ensuring that measurements are consistent and comparable.
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01:56Conversion Factors
Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert one set of units to another by multiplying by conversion factors that equal one. This method ensures that the units cancel appropriately, leading to the desired unit in the final answer. It is a powerful tool in chemistry for verifying calculations and ensuring that equations are dimensionally consistent.
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06:11Dimensional Analysis
Related Practice
Textbook Question
Perform the following conversions: (a) 5.00 days to s
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Textbook Question
(d) An individual suffering from a high cholesterol level in her blood has 242 mg of cholesterol per 100 mL of blood. If the total blood volume of the individual is 5.2 L, how many grams of total blood cholesterol does the individual's body contain?
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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
(c) The Vehicle Assembly Building at the Kennedy Space Center in Florida has a volume of 3,666,500 m3. Convert this volume to liters and express the result in standard exponential notation.
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