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15 December, 04:56

Find the empirical formula of the following compound: 0.77 mol of iron atoms combined with 1.0 mol of oxygen atoms.

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  1. 15 December, 05:13
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    The empirical formula is Fe₃O₄.

    The empirical formula is the simplest whole-number ratio of atoms in a compound.

    The ratio of atoms is the same as the ratio of moles, so our job is to calculate the molar ratio of Fe to O.

    I like to summarize the calculations in a table.

    Element Moles Ratio¹ * 3² Integers³

    Fe 0.77 1 3 3

    O 1.0 1.3 3.9 4

    ¹ To get the molar ratio, you divide each number of moles by the smallest number (0.77).

    ² If the ratio is not close to an integer, multiply by a number (in this case, 3) to get numbers that are close to integers.

    ³ Round off these numbers to integers (3 and 4).

    The empirical formula is Fe₃O₄.
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