Gold is alloyed (mixed) with other metals to increase its hardness in making jewelry. (a) Consider a piece of gold jewelry that weighs 9.85 g and has a volume of 0.675 cm3. The jewelry contains only gold and silver, which have densities of 19.3 and 10.5 g/cm3, respectively. If the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains, calculate the percentage of gold (by mass) in the jewelry. (b) The relative amount of gold in an alloy is commonly expressed in units of carats. Pure gold is 24 carat, and the percentage of gold in an alloy is given as a percentage of this value. For example, an alloy that is 50% gold is 12 carat. State the purity of the gold jewelry in carats.
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 92b
Judge the following statements as true or false. If you believe a statement to be false, provide a corrected version. (b) All mixtures contain at least one element and one compound.

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Identify the definition of a mixture: A mixture is a combination of two or more substances that are not chemically bonded.
Consider examples of mixtures: Mixtures can be homogeneous (uniform composition) or heterogeneous (non-uniform composition).
Evaluate the statement: The statement claims that all mixtures must contain at least one element and one compound.
Analyze counterexamples: A mixture can consist of only elements (e.g., a mixture of nitrogen and oxygen gases) or only compounds (e.g., a mixture of water and ethanol).
Conclude the evaluation: The statement is false. A corrected version could be: 'Mixtures can contain elements, compounds, or both, but not necessarily one of each.'
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mixtures
A mixture is a combination of two or more substances that retain their individual properties. Mixtures can be homogeneous, where the components are evenly distributed, or heterogeneous, where the components are distinct. Importantly, mixtures do not have a fixed composition and can include elements, compounds, or both.
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Elements and Compounds
Elements are pure substances that consist of only one type of atom, while compounds are substances formed when two or more different types of atoms bond together in fixed proportions. A mixture can contain only elements, only compounds, or a combination of both, meaning it is not necessary for all mixtures to include at least one of each.
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True/False Statements in Chemistry
In chemistry, evaluating statements as true or false often requires understanding definitions and properties of substances. A false statement can be corrected by providing accurate definitions or examples. In this case, the statement about mixtures is false because mixtures can consist solely of elements or solely of compounds.
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