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17 May, 03:48

How many moles of sodium carbonate contain 1.773 * 1017 carbon atoms?

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  1. 17 May, 06:29
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    2.941 * 10⁻¹⁷ mol

    Explanation:

    1) Chemical formula of sodium carbonate: Na₂CO₃

    2) Ratio of carbon atoms:

    The number of atoms of C in the unit formula Na₂CO₃ is the subscript for the atom, which is 1 (since it is not written).

    Hence, the ratio is 1 C atom / 1 Na₂CO₃ unit formula.

    This is, there is 1 atom of carbon per each unit formula of sodium carbonate.

    3) Calculate the number of moles in 1.773 * 10⁷ carbon atoms

    Divide by Avogadro's number: 6.022 * 10²³ atoms / mol

    number C moles = 1.773 * 10⁷ atoms / (6.022 * 10²³ atoms/mol)

    number C moles = 2.941 * 10⁻¹⁷ mol

    Since, the ratio is 1: 1, the number of moles of sodium carbonate is the same number of moles of carbon atoms.
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