Textbook Question
(c) The Statue of Liberty is 151 ft tall. Calculate its height in meters.
Ch.1 - Introduction: Matter, Energy, and Measurement
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement140
- Ch.2 - Atoms, Molecules, and Ions192
- Ch.3 - Chemical Reactions and Reaction Stoichiometry172
- Ch.4 - Reactions in Aqueous Solution156
- Ch.5 - Thermochemistry151
- Ch.6 - Electronic Structure of Atoms137
- Ch.7 - Periodic Properties of the Elements127
- Ch.8 - Basic Concepts of Chemical Bonding143
- Ch.9 - Molecular Geometry and Bonding Theories167
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces97
- Ch.12 - Solids and Modern Materials129
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics175
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Acid-Base Equilibria127
- Ch.17 - Additional Aspects of Aqueous Equilibria133
- Ch.18 - Chemistry of the Environment88
- Ch.19 - Chemical Thermodynamics140
- Ch.20 - Electrochemistry137
- Ch.21 - Nuclear Chemistry99
- Ch.22 - Chemistry of the Nonmetals66
- Ch.23 - Transition Metals and Coordination Chemistry69
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry11
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 1, Problem 56a
(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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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
(b) The lung capacity of the blue whale is 5.0×103 L. Convert this volume into gallons.
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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
(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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