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

Calculate the number of moles containing each of the following:
(a) $2.50 \times 10^{22}$ atoms of iron, Fe
(b) $5.00 \times 10^{23}$ molecules of carbon dioxide, $\mathrm{CO}_{2}$
(c) $7.50 \times 10^{24}$ formula units of iron(II) carbonate, $\mathrm{FeCO}_{3}$

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Key Concepts

Dimensional Analysis

Dimensional analysis is a systematic approach for converting units using conversion factors. In the context of mole calculations, it allows for the conversion between the number of particles and the corresponding moles by applying Avogadro's number as a conversion factor.

Mole

The mole is a fundamental unit in chemistry that quantifies the amount of a substance. One mole contains a specific number of particles (approximately 6.022 × 10^23), allowing chemists to relate measurable amounts of material to the number of atoms, molecules, or formula units present.

Avogadro's Number

Avogadro's number (approximately 6.022 × 10^23) is a constant that defines the number of particles in one mole. It serves as the cornerstone for converting between the number of discrete particles and the amount of substance in moles.

Scientific Notation

Scientific notation is a method used to express very large or very small numbers in a compact form, making calculations more manageable. It is especially useful in chemistry when dealing with quantities like Avogadro's number or counts of atoms and molecules.

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