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?
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 65a,b
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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Understand the definitions: A pure substance has a uniform and definite composition, a solution is a homogeneous mixture of two or more substances, and a heterogeneous mixture has a non-uniform composition.
Consider the composition of a 999 gold bar: It is composed of 99.9% gold, with the remaining 0.1% typically being other metals or impurities.
Evaluate the uniformity: Since the gold bar is mostly gold with very little impurity, it has a uniform composition throughout.
Determine the classification: A 999 gold bar is considered a pure substance because it is primarily composed of one element, gold, with minimal impurities.
Conclude: Based on its composition and uniformity, classify the 999 gold bar as a pure substance.

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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 and properties throughout. Examples include elements like gold and compounds like water. Pure substances cannot be separated into simpler substances by physical means.
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Heterogeneous Mixture
A heterogeneous mixture contains two or more phases or components that are not uniformly distributed. The individual components can often be seen and separated physically, such as in a salad or a mixture of sand and salt. The properties of heterogeneous mixtures vary throughout the sample.
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Solution
A solution is a homogeneous mixture where one substance (the solute) is dissolved in another (the solvent). Solutions have a consistent composition and properties throughout, such as saltwater or sugar dissolved in tea. Unlike heterogeneous mixtures, solutions do not have visibly distinct components.
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