Domanda del libro di testo
Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: (a) a leaf (b) a 999 gold bar
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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- 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
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Brown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 63
Brown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 63Capitolo 1, Problema 63
Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 30 m x 25 m ceiling with gold leaf that is twelve-millionths of a centimeter thick. The density of gold is 19.32 g/cm3, and gold costs \$1654 per troy ounce (1 troy ounce = 31.1034768 g). How much will it cost the architect to buy the necessary gold?
Guida verificata passo dopo passo1
Calculate the volume of gold needed by multiplying the area of the ceiling by the thickness of the gold leaf. Use the formula: \( \text{Volume} = \text{Area} \times \text{Thickness} \).
Convert the volume from cubic centimeters to cubic meters, if necessary, to match the units of the area and thickness.
Use the density of gold to find the mass of gold required. Use the formula: \( \text{Mass} = \text{Density} \times \text{Volume} \).
Convert the mass of gold from grams to troy ounces using the conversion factor: 1 troy ounce = 31.1034768 g.
Calculate the cost by multiplying the number of troy ounces by the cost per troy ounce (\$1654).
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Volume and Thickness Calculation
To determine the amount of gold needed, one must calculate the volume of gold leaf required to cover the ceiling. This involves multiplying the area of the ceiling (30 m x 25 m) by the thickness of the gold leaf, converted into centimeters. Understanding how to manipulate units and perform volume calculations is essential for solving the problem.
Video consigliato:
Percorso guidato
02:35
Constant-Volume Calorimetry
Density and Mass Relationship
Density is defined as mass per unit volume, and it plays a crucial role in converting the calculated volume of gold leaf into mass. The density of gold (19.32 g/cm³) allows us to find the mass by multiplying the volume by the density. This relationship is fundamental in determining how much gold is needed in grams before converting it to troy ounces for cost calculation.
Video consigliato:
Percorso guidato
01:56Density Concepts
Cost Calculation and Unit Conversion
Once the mass of gold is determined, the next step is to calculate the cost based on the price per troy ounce. This requires converting grams to troy ounces using the conversion factor (1 troy ounce = 31.1034768 g). Understanding how to perform these conversions and apply the cost per unit is essential for arriving at the final cost for the architect.
Video consigliato:
Percorso guidato
02:12Conversion Factors Example
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(d) In March 1989, the Exxon Valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of Alaska. One barrel of petroleum is equal to 42 gal. How many liters of petroleum were spilled?
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A copper refinery produces a copper ingot weighing 70 kg. If the copper is drawn into wire whose diameter is 7.50 mm, how many meters of copper can be obtained from the ingot? The density of copper is 8.94 g/cm3. (Assume that the wire is a cylinder whose volume V = πr2h, where r is its radius and h is its height or length.)
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Domanda del libro di testo
Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: (c) stainless steel.
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Domanda del libro di testo
The density of air at ordinary atmospheric pressure and
25 C is 1.19 g/L. What is the mass, in kilograms, of the air in
a room that measures 4.5 m * 5.0 m * 2.5 m?
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