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

Verified step by step guidance

Identify the given quantity: 8.447 $\times$ 10^{-2} $\text{ mol of }$ $\text{C}$_6$\text{H}$_6.

Recall Avogadro's number, which is approximately 6.022 $\times$ 10^{23} $\text{ molecules/mol}$.

Use the formula: $\text{Number of molecules}$ = $\text{moles}$ $\times$ $\text{Avogadro's number}$.

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} $\text{ molecules/mol}$.

Perform the multiplication to find the number of molecules of C_6H_6.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

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

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.

Recommended video:

Guided course

01:56

Conversion Factors

Related Practice

Textbook Question

If an Avogadro’s number of pennies is divided equally among the 321 million men, women, and children in the United States, how many dollars would each receive? How does this compare with the gross domestic product (GDP) of the United States, which was \$21.4 trillion in 2019? (GDP is the total market value of the nation’s goods and services.)

views

Textbook Question

(d) What is the molar mass of cholesterol if 0.00105 mol has a mass of 0.406 g?

1072

views

Textbook Question

Calculate the following quantities: (d) number of N atoms in 0.410 mol NH₃

885

views

Textbook Question

Calculate the following quantities: (a) mass, in grams, of 0.105 mol sucrose (C₁₂H₂₂O₁₁)

643