Textbook Question
The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick. (a) How many quarters would have to be stacked to reach 575 ft, the height of the Washington Monument?
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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 Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 1, Problem 76
In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd2. An acre-foot is enough water to supply two typical households for 1.00 yr. (a) If desalinated water costs \$1950 per acre-foot, how much does desalinated water cost per liter?
Verified step by step guidance1
Convert the area of an acre from square yards to square feet using the conversion factor: 1 yard = 3 feet. Therefore, 1 acre = 4840 yd^2 * (3 ft/yd)^2.
Calculate the volume of water in cubic feet for 1 acre-foot by multiplying the area in square feet by the depth of 1 foot.
Convert the volume from cubic feet to cubic inches using the conversion factor: 1 cubic foot = 12^3 cubic inches.
Convert the volume from cubic inches to liters using the conversion factor: 1 liter = 61.024 cubic inches.
Calculate the cost per liter by dividing the cost per acre-foot (\$1950) by the volume in liters.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Volume Conversion
To solve the problem, it's essential to understand how to convert acre-feet into liters. An acre-foot is a unit of volume that represents the amount of water needed to cover one acre to a depth of one foot. Knowing the conversion factors between these units is crucial for calculating the cost per liter.
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02:38
Common Conversion Factors
Cost Calculation
The question requires calculating the cost of desalinated water per liter based on the total cost per acre-foot. This involves dividing the total cost by the total volume in liters, which allows for a clear understanding of the price per unit volume of water.
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02:28Stoichiometric Rate Calculations
Desalination Economics
Understanding the economics of desalination is important, as it provides context for the cost of water. Desalination is a process that converts seawater into freshwater, and the cost of this process can vary significantly based on technology, energy use, and local conditions, influencing the price per acre-foot.
Related Practice
Textbook Question
The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick. (c) How much money would this stack contain?
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Textbook Question
The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.(d) The U.S. National Debt Clock showed the outstanding public debt to be \$16,213,166,914,811 on October 28, 2012. How many stacks like the one described would be necessary to pay off this debt?