How many moles of aluminum do 3.7×10²⁴ aluminum atoms represent?

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Determine the number of atoms given in the problem, which is \(3.7 \times 10^{24}\) aluminum atoms.

Recall Avogadro's number, which is approximately \(6.022 \times 10^{23}\) atoms per mole. This number is used to convert atoms to moles.

Set up the conversion factor to convert atoms to moles using Avogadro's number. The conversion factor is \(\frac{1 \text{ mole}}{6.022 \times 10^{23} \text{ atoms}}\).

Multiply the number of aluminum atoms by the conversion factor to find the number of moles. The calculation will be \(3.7 \times 10^{24} \text{ atoms} \times \frac{1 \text{ mole}}{6.022 \times 10^{23} \text{ atoms}}\).

Simplify the calculation to find the number of moles of aluminum.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of atoms, molecules, or particles in one mole of a substance. This constant allows chemists to convert between the number of particles and the amount in moles, facilitating calculations in stoichiometry and chemical reactions.

Mole Concept

The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole of any substance contains Avogadro's number of entities, whether they are atoms, molecules, or ions. Understanding the mole concept is essential for performing calculations involving chemical quantities and reactions.

Conversion between Atoms and Moles

To convert from the number of atoms to moles, one can use the relationship defined by Avogadro's number. The formula is: moles = number of atoms / Avogadro's number. This conversion is crucial for determining the amount of a substance in chemical equations and reactions.

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