Calculate the mass, in grams, of each sample. a. 1.1 × 10^23 gold atoms b. 2.82 × 1

step 1 To convert the number of atoms of an element into the grams of the element, we need to carry out

Calculate the mass, in grams, of each sample. a. 1.1 ×...

Calculate the mass, in grams, of each sample. $$\begin{array}{l}{\text { a. } 1.1 \times 10^{23} \text { gold atoms }} \\ {\text { b. } 2.82 \times 10^{22} \text { helium atoms }} \\ {\text { c. } 1.8 \times 10^{23} \text { lead atoms }} \\ {\text { d. } 7.9 \times 10^{21} \text { uranium atoms }}\end{array}$$

Calculate the mass, in grams, of each sample.
$$\begin{array}{l}{\text { a. } 1.1 \times 10^{23} \text { gold atoms }} \\ {\text { b. } 2.82 \times 10^{22} \text { helium atoms }} \\ {\text { c. } 1.8 \times 10^{23} \text { lead atoms }} \\ {\text { d. } 7.9 \times 10^{21} \text { uranium atoms }}\end{array}$$

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Key Concepts

Conversion from Atoms to Mass

By using Avogadro's number to convert a specific number of atoms into moles, and then multiplying by the atomic mass (in grams per mole), one can calculate the total mass of a sample. This conversion is a fundamental technique in stoichiometry and quantifying substances in chemical analysis.

Atomic Mass

Atomic mass is the mass of an individual atom and is commonly expressed in atomic mass units (amu) or grams per mole. It provides the necessary numerical value to relate the number of atoms in a sample to its overall mass, as given on the periodic table.

Mole Concept

The mole is a fundamental unit in chemistry that represents a specific number of particles, typically atoms or molecules. It allows chemists to count particles by mass rather than by individual counting, facilitating reactions and calculations at the molecular scale.

Avogadro's Number

Avogadro's number, approximately 6.022 × 10^23, is the number of particles found in one mole of a substance. It serves as the bridge between the atomic scale and the macroscopic scale, allowing conversion from a count of atoms or molecules to a measurable amount of substance.

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