Calculate The Number of Atoms in 0.0340 G Zn.

Calculating the number of atoms in a given mass of zinc (Zn) involves using the atomic mass of zinc and Avogadro's number. This calculation is fundamental in chemistry for understanding the relationship between mass and the number of particles.

How to Calculate the Number of Atoms

To determine the number of atoms in a given mass of zinc, follow these steps:

Identify the atomic mass of zinc (Zn). The atomic mass of zinc is approximately 65.38 g/mol.
Determine the mass of zinc in grams (in this case, 0.0340 g).
Use the formula: Number of atoms = (Mass of zinc / Atomic mass of zinc) × Avogadro's number.
Avogadro's number is 6.022 × 10²³ atoms/mol, which is the number of particles in one mole of a substance.
Calculate the result to find the number of atoms in the given mass of zinc.

This calculation is essential for understanding the stoichiometry of chemical reactions and the behavior of matter at the atomic level.

Formula Used

Atoms Calculation Formula

Number of atoms = (Mass of zinc / Atomic mass of zinc) × Avogadro's number

Where:

Mass of zinc = 0.0340 g
Atomic mass of zinc (Zn) = 65.38 g/mol
Avogadro's number = 6.022 × 10²³ atoms/mol

The formula converts the given mass of zinc into moles and then uses Avogadro's number to determine the number of atoms. This approach is widely used in chemistry to relate macroscopic quantities to atomic-scale quantities.

Worked Example

Example Calculation

Let's calculate the number of atoms in 0.0340 g of zinc:

Mass of zinc = 0.0340 g
Atomic mass of zinc = 65.38 g/mol
Number of moles = Mass / Atomic mass = 0.0340 g / 65.38 g/mol ≈ 0.00052 mol
Number of atoms = Number of moles × Avogadro's number = 0.00052 mol × 6.022 × 10²³ atoms/mol ≈ 3.13 × 10²⁰ atoms

This example demonstrates how to apply the formula to find the number of atoms in a given mass of zinc.

Understanding this calculation helps in various chemical applications, including stoichiometry, solution preparation, and material science.

Frequently Asked Questions

What is the atomic mass of zinc?

The atomic mass of zinc (Zn) is approximately 65.38 g/mol. This value is crucial for calculating the number of atoms in a given mass of zinc.

What is Avogadro's number?

Avogadro's number is 6.022 × 10²³ atoms/mol. It represents the number of particles in one mole of a substance and is essential for converting between moles and atoms.

How do I convert grams to moles?

To convert grams to moles, divide the mass in grams by the atomic mass of the substance. This gives the number of moles, which can then be used to find the number of atoms.