Calculate the number of moles containing each of the...

Calculate the number of moles containing each of the following:
(a) $1.00 \times 10^{22}$ atoms of manganese, $\mathrm{Mn}$
(b) $2.00 \times 10^{23}$ molecules of sulfur trioxide, $S O_{3}$
(c) $3.00 \times 10^{24}$ formula units of manganese(II) sulfate, $\mathrm{MnSO}_{4}$

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Key Concepts

Mole Concept

The mole is a fundamental unit in chemistry that represents a specific number of particles (atoms, molecules, or ions). It provides a bridge between the atomic scale and macroscopic quantities, enabling chemists to count particles by weighing substances.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of constituent particles in one mole of any substance. This constant is essential for converting between the number of discrete entities and the amount in moles.

Unit Conversion in Chemistry

In chemistry, converting between the number of particles and moles involves using Avogadro's number as a conversion factor. By dividing the given number of particles by Avogadro's number, one determines the number of moles, regardless of whether the particles are atoms, molecules, or formula units.

Atoms, Molecules, and Formula Units

While the mole concept is universal, the nature of the counted particles may differ. Atoms are individual elements, molecules are groups of atoms bonded together, and formula units represent the simplest ratio of ions in an ionic compound. Each type of particle is counted using the same fundamental principle of the mole.

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