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30 October, 05:04

A single hydrogen atom has a mass of 1.67 * 10-24 g. A sodium atom has an atomic mass of 23. How many sodium atoms are required to reach a total mass of 973 mg in a substance of pure sodium?

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  1. 30 October, 05:20
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    2.55 * 10²² Na Atoms

    Solution:

    Data Given:

    M. Mass of Na = 23 g. mol⁻¹

    Mass of Na = 973 mg = 0.973 g

    # of Na Atoms = ?

    Step 1: Calculate Moles of Na as:

    Moles = Mass : M. Mass

    Moles = 0.973 g : 23 g. mol⁻¹

    Moles = 0.0423 mol

    Step 2: Calculate No, of Na Atoms as:

    As 1 mole of sodium atoms counts 6.022 * 10²³ and equals exactly to the mass of 23 g. So, we can write,

    Moles = No. of Na Atoms : 6.022 * 10²³ Na Atoms. mol⁻¹

    Solving for No. of Na Atoms,

    No. of Na Atoms = Moles * 6.022 * 10²³ Na Atoms. mol⁻¹

    No. of Na Atoms = 0.0423 mol * 6.022 * 10²³ Na Atoms. mol⁻¹

    No. of Na Atoms = 2.55 * 10²² Na Atoms

    Conclusion:

    2.55 * 10²² sodium atoms are required to reach a total mass of 973 mg in a substance of pure sodium.
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