Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100 ft x 82 ft ceiling with gold leaf that is five-millionths of an inch thick. The density of gold is 19.32 g/cm3. If gold costs $1768 per troy ounce (1 troy ounce = 31.10348 g), how much will it cost the architect to buy the necessary gold?
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 69b
Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: b. a cup of coffee

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Understand the definitions: A pure substance has a uniform and definite composition, a solution is a homogeneous mixture where the components are uniformly distributed, and a heterogeneous mixture has visibly different substances or phases.
Consider the composition of a cup of coffee: It typically contains water, dissolved coffee compounds, and possibly other ingredients like sugar or milk.
Determine if the components are uniformly distributed: In a typical cup of black coffee, the dissolved coffee compounds are evenly distributed throughout the liquid.
Evaluate if there are any visible different substances or phases: In black coffee, there are no visible separate phases; it appears uniform throughout.
Classify the cup of coffee: Since the components are uniformly distributed and there are no visible different phases, a cup of black coffee is best classified as a solution.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Pure Substance
A pure substance consists of a single type of particle and has a uniform composition throughout. It can be an element, like oxygen, or a compound, like water. Pure substances have consistent physical and chemical properties, making them distinct from mixtures.
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Solution
A solution is a homogeneous mixture where one substance (the solute) is dissolved in another (the solvent). The components of a solution are evenly distributed at the molecular level, resulting in a single phase. An example is saltwater, where salt is completely dissolved in water.
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Solution Components
Heterogeneous Mixture
A heterogeneous mixture contains two or more substances that remain distinct and can be physically separated. The components are not uniformly distributed, leading to different phases or layers. An example is a salad, where the individual ingredients can be seen and separated.
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Related Practice
Textbook Question
Textbook Question
A copper refinery produces a copper ingot weighing 150 lb. If the copper is drawn into wire whose diameter is 7.50 mm, how many feet 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 π=ππ2β, where r is its radius and h is its height or length.)
Textbook Question
Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: c. a wood plank
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Textbook Question
(a) Which is more likely to eventually be shown to be incorrect: an hypothesis or a theory?
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Textbook Question
(b) A(n) _________ reliably predicts the behavior of matter, while a(n) _________ provides an explanation for that behavior.
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