Number of Particles
Particles from moles and Avogadro number.
Formula
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Example
2 mol = 1.2×10²⁴
How it works
This formula converts an amount of substance measured in moles into an actual count of particles such as atoms, molecules, ions, or formula units. It works because 1 mole is defined as containing Avogadro’s number of particles, so multiplying the number of moles by this constant gives the total number of particles. The value of Avogadro’s number is about 6.02 × 10^23 particles per mole.
When to use it
Use this when you know how many moles of a substance you have and need to find the number of particles present. It is common in stoichiometry, particle counting, and questions about atoms, molecules, or ions in chemistry.
Worked example, step by step
Find the number of molecules in 0.50 mol of carbon dioxide. N = n × N_A N = 0.50 × 6.02 × 10^23 N = 3.01 × 10^23 molecules Final answer: 3.01 × 10^23 molecules of CO2
Common mistakes to avoid
- Using the wrong particle type, such as atoms instead of molecules or ions
- Forgetting to multiply by Avogadro’s number
- Not converting the mole value correctly before substituting into the formula
Did You Know?
Molar mass in grams equals the atomic or molecular mass in atomic units, a convenient bridge to the lab bench.
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