Calculate the following quantities: (c) number of molecules in 8.447⨉10⁻² mol C₆H₆

Verified step by step guidance

1. Identify the given quantity: 8.447 \times 10^{-2} \text{ mol of } \text{C}_6\text{H}_6.
2. Recall Avogadro's number, which is approximately 6.022 \times 10^{23} \text{ molecules/mol}.
3. Use the formula: \text{Number of molecules} = \text{moles} \times \text{Avogadro's number}.
4. Substitute the given moles of C_6H_6 into the formula: \text{Number of molecules} = 8.447 \times 10^{-2} \text{ mol} \times 6.022 \times 10^{23} \text{ molecules/mol}.
5. Perform the multiplication to find the number of molecules of C_6H_6.

Key Concepts

Mole Concept

The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole contains approximately 6.022 × 10²³ entities, such as atoms or molecules, known as Avogadro's number. This concept allows chemists to convert between the mass of a substance and the number of particles it contains, facilitating calculations in stoichiometry.

Molecular Formula

A molecular formula represents the number and type of atoms in a molecule. For example, C₆H₆ indicates that a benzene molecule consists of six carbon atoms and six hydrogen atoms. Understanding molecular formulas is essential for determining the composition of substances and performing calculations related to moles and molecules.

Conversion Factors

Conversion factors are ratios used to convert one unit of measurement to another. In this context, the conversion from moles to molecules involves using Avogadro's number as a conversion factor. By multiplying the number of moles by 6.022 × 10²³, one can find the total number of molecules present in a given sample.