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Ch.2 - Atoms & Elements
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 123

Pure gold is usually too soft for jewelry, so it is often alloyed with other metals. How many gold atoms are in an 0.255-ounce, 18 K gold bracelet? (18 K gold is 75% gold by mass.)

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1
Convert the mass of the bracelet from ounces to grams using the conversion factor: 1 ounce = 28.3495 grams.
Calculate the mass of gold in the bracelet by multiplying the total mass of the bracelet by the percentage of gold (75%).
Convert the mass of gold from grams to moles using the molar mass of gold (Au), which is approximately 197 g/mol.
Use Avogadro's number (6.022 x 10^23 atoms/mol) to convert the moles of gold to the number of gold atoms.
Compile the steps to ensure the logical flow from mass conversion to determining the number of atoms.

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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For gold (Au), the molar mass is approximately 197 g/mol. Understanding molar mass is essential for converting between grams and moles, which is necessary for calculating the number of atoms in a given mass of gold.
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02:11
Molar Mass Concept

Alloy Composition

An alloy is a mixture of two or more elements, where at least one is a metal. In the case of 18 K gold, it contains 75% gold by mass and 25% other metals. This composition affects the properties of the material, such as hardness and color, and is crucial for determining the actual mass of gold in the bracelet.
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04:19
Matter Composition

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of atoms, ions, or molecules in one mole of a substance. This constant allows chemists to relate the mass of a substance to the number of particles it contains. In this problem, it is used to convert the number of moles of gold into the actual number of gold atoms present in the bracelet.
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