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  • Step‑by‑Step Guide to Determining the Number of Representative Particles in a Substance

    By Kristen Gonsoir | Updated August 30, 2022

    lenalir/iStock/GettyImages

    In chemistry, determining the exact count of representative particles—whether atoms, molecules, formula units, or ions—is essential for accurate stoichiometric calculations. Every substance has a well‑defined chemical composition reflected in its formula. The standard unit for quantifying a substance’s amount is the mole; one mole contains 6.02 × 10²³ particles—known as Avogadro’s number.

    1. Measure the Mass

    Weigh a sample of the substance and record its mass in grams. For instance, a 36.0‑gram sample of water.

    2. Determine the Molar Mass

    Compute the molar mass by summing the average atomic masses of the constituent atoms from the periodic table. Water’s molar mass is 18.0 g mol⁻¹ (2 × 1.0 g for H + 16.0 g for O).

    3. Convert Mass to Moles

    Divide the measured mass by the molar mass: 36.0 g ÷ 18.0 g mol⁻¹ = 2 mol of water.

    4. Calculate Representative Particles

    Multiply the number of moles by Avogadro’s number: 2 mol × 6.02 × 10²³ particles mol⁻¹ = 1.20 × 10²⁴ particles.

    Materials Needed

    • Analytical balance
    • Periodic table (recommended electronic version)
    • Scientific calculator

    TL;DR

    The precision of the final particle count is limited by the least precise measurement—in this case, the mass. If you already know the moles, simply multiply by 6.02 × 10²³ to obtain the particle count.

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