How many carbon atoms are in 3.85 mol of carbon? This intriguing question unveils the fundamental principles of chemistry, inviting us to explore the relationship between moles and atoms. Join us as we delve into the fascinating world of molarity and Avogadro’s number, unlocking the secrets of atomic composition.

Molarity, a cornerstone of chemistry, measures the concentration of substances in solutions. Understanding molarity allows us to bridge the gap between the macroscopic and microscopic realms, connecting the amount of substance to the number of atoms or molecules present. This knowledge empowers us to perform stoichiometric calculations, enabling us to predict the outcome of chemical reactions and understand the composition of various substances.

Understanding Molarity and Carbon Atoms

In chemistry, molarity is a measure of the concentration of a substance in a solution. It is defined as the number of moles of a substance per liter of solution. The mole is the SI unit of amount of substance, and it is defined as the amount of substance that contains exactly 6.022 × 10 ²³elementary entities.

In the case of carbon, the elementary entity is the carbon atom.

The relationship between moles and the number of atoms in a substance is given by the following formula:

Number of atoms = Number of moles × Avogadro’s number

Avogadro’s number is the number of elementary entities in one mole of a substance, and it is equal to 6.022 × 10 ²³.

Calculating the Number of Carbon Atoms

To calculate the number of carbon atoms in a given amount of substance, we need to know the number of moles of carbon in the substance. Once we have the number of moles, we can use the following formula to calculate the number of atoms:

Number of atoms = Number of moles × Avogadro’s number

For example, if we have 3.85 mol of carbon, we can calculate the number of carbon atoms as follows:

Number of atoms = 3.85 mol × 6.022 × 10²³atoms/mol = 2.31 × 10 ²⁴atoms

Avogadro’s Number and Its Role

Avogadro’s number is a fundamental constant in chemistry. It is used to convert between the number of moles of a substance and the number of atoms or molecules in the substance. Avogadro’s number is also used to calculate the molar mass of a substance, which is the mass of one mole of the substance.

For example, the molar mass of carbon is 12.01 g/mol. This means that one mole of carbon weighs 12.01 grams. We can use Avogadro’s number to convert between the mass of carbon and the number of carbon atoms:

Number of atoms = Mass of carbon (g) × (1 mol / 12.01 g) × (6.022 × 10²³atoms/mol)

Sample Problem and Solution, How many carbon atoms are in 3.85 mol of carbon

Problem:How many carbon atoms are in 5.00 g of carbon dioxide (CO ₂)?

Solution:

1. Calculate the number of moles of carbon dioxide:

Number of moles = Mass (g) / Molar mass (g/mol)

Number of moles = 5.00 g / 44.01 g/mol = 0.1136 mol

2. Calculate the number of carbon atoms:

Number of atoms = Number of moles × Avogadro’s number

Number of atoms = 0.1136 mol × 6.022 × 10²³atoms/mol = 6.84 × 10 ²²atoms

Therefore, there are 6.84 × 10 ²²carbon atoms in 5.00 g of carbon dioxide.

Q&A: How Many Carbon Atoms Are In 3.85 Mol Of Carbon

What is the significance of Avogadro’s number?

Avogadro’s number is a fundamental constant in chemistry, representing the number of atoms, molecules, or ions present in one mole of a substance. It serves as a bridge between the macroscopic and microscopic scales, allowing us to relate the amount of substance to the number of individual particles.

How is molarity used in chemistry?

Molarity is a measure of the concentration of a substance in a solution, expressed as the number of moles of solute per liter of solution. It plays a crucial role in stoichiometric calculations, enabling us to determine the amount of reactants and products involved in chemical reactions.

Can you provide an example of calculating the number of carbon atoms in a given amount of substance?

Certainly. To calculate the number of carbon atoms in 3.85 mol of carbon, we multiply the number of moles by Avogadro’s number (6.022 x 10^23 atoms/mol). This gives us 2.31 x 10^24 carbon atoms.