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Weights in England are commonly measured in stones, where 1 stone = 14 lb. What is the weight in pounds of a person who weighs 8.65 stones?
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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry8th EditionChemistryISBN: 9781292336145
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TOC.tableOfContents
- Ch.1 - Chemical Tools: Experimentation & Measurement170
- Ch.2 - Atoms, Molecules & Ions160
- Ch.3 - Mass Relationships in Chemical Reactions169
- Ch.4 - Reactions in Aqueous Solution199
- Ch.5 - Periodicity & Electronic Structure of Atoms102
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory92
- Ch.7 - Covalent Bonding and Electron-Dot Structures61
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure59
- Ch.9 - Thermochemistry: Chemical Energy122
- Ch.10 - Gases: Their Properties & Behavior155
- Ch.11 - Liquids & Phase Changes54
- Ch.12 - Solids and Solid-State Materials73
- Ch.13 - Solutions & Their Properties120
- Ch.14 - Chemical Kinetics98
- Ch.15 - Chemical Equilibrium125
- Ch.16 - Aqueous Equilibria: Acids & Bases110
- Ch.17 - Applications of Aqueous Equilibria147
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium86
- Ch.19 - Electrochemistry154
- Ch.20 - Nuclear Chemistry96
- Ch.21 - Transition Elements and Coordination Chemistry156
- Ch.22 - The Main Group Elements187
- Ch.23 - Organic and Biological Chemistry51
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McMurry 8th EditionCh.1 - Chemical Tools: Experimentation & MeasurementProblema 98
McMurry 8th EditionCh.1 - Chemical Tools: Experimentation & MeasurementProblema 98Capitolo 1, Problema 98
The volume of water used for crop irrigation is measured in acre-feet, where 1 acre-foot is the amount of water needed to cover 1 acre of land to a depth of 1 ft. (a) If there are 640 acres per square mile, how many cubic feet of water are in 1 acre-foot? (b) How many acre-feet are in Lake Erie (total volume = 116 mi^3)?
Guida verificata passo dopo passo1
Step 1: To find the volume of water in 1 acre-foot, we need to convert the area of 1 acre to square feet. We know that 1 acre is equal to 43,560 square feet. Since 1 acre-foot covers this area to a depth of 1 foot, the volume in cubic feet is simply the area in square feet times the depth in feet. So, the volume of 1 acre-foot in cubic feet is 43,560 ft^2 * 1 ft = 43,560 ft^3.
Step 2: To find the number of acre-feet in Lake Erie, we first need to convert the volume of the lake from cubic miles to cubic feet. We know that 1 mile is equal to 5,280 feet, so 1 cubic mile is equal to 5,280 ft * 5,280 ft * 5,280 ft = 147,197,952,000 ft^3.
Step 3: Now, we can divide the total volume of Lake Erie in cubic feet by the volume of 1 acre-foot in cubic feet to find the total volume in acre-feet. So, the volume of Lake Erie in acre-feet is 116 mi^3 * 147,197,952,000 ft^3/mi^3 / 43,560 ft^3/acre-foot.
Step 4: Simplify the above expression to get the volume of Lake Erie in acre-feet.
Step 5: The result from step 4 is the volume of Lake Erie in acre-feet.
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Volume Conversion
Understanding volume conversion is essential for solving problems involving different units of measurement. In this case, converting acre-feet to cubic feet requires knowing the relationship between acres, feet, and cubic measurements. One acre-foot represents a volume that covers one acre of land to a depth of one foot, which can be calculated using the conversion factors for area and depth.
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Percorso guidato
02:38
Common Conversion Factors
Area and Volume Relationships
The relationship between area and volume is crucial in this context, particularly when dealing with land and water measurements. An acre is a unit of area, and when multiplied by a depth (in feet), it yields a volume in cubic feet. This concept helps in visualizing how much water is needed to cover a specific area to a certain depth, which is fundamental for irrigation calculations.
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Percorso guidato
03:47Perimeter, Area, Volume
Cubic Miles to Cubic Feet Conversion
To solve for the number of acre-feet in a volume given in cubic miles, one must understand how to convert cubic miles to cubic feet. Since 1 cubic mile equals 147,197,952,000 cubic feet, this conversion is necessary to relate the total volume of Lake Erie to acre-feet. This concept is vital for accurately translating large volume measurements into more manageable units for practical applications.
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Percorso guidato
01:19Simple Cubic Volume Example
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