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  • Determining the Empirical Formula of a Chromium Oxide Compound
    The most likely empirical formula for this compound is Cr2O3.

    Given:

    - Mass of chromium = 104.0 g

    - Mass of oxygen = 48.0 g

    - Molar mass of chromium = 51.996 g/mol

    - Molar mass of oxygen = 15.999 g/mol

    Let's calculate the moles of chromium and oxygen in the compound:

    - Moles of chromium = 104.0 g / 51.996 g/mol = 2.00 mol

    - Moles of oxygen = 48.0 g / 15.999 g/mol = 3.00 mol

    To find the simplest whole number ratio of chromium to oxygen, we divide both moles by the smallest number of moles:

    - Moles of chromium (simplified) = 2.00 mol / 2.00 mol = 1

    - Moles of oxygen (simplified) = 3.00 mol / 2.00 mol = 1.5

    Since we cannot have half moles in a chemical formula, we multiply both simplified moles by 2 to get whole numbers:

    - Moles of chromium (final) = 1 * 2 = 2

    - Moles of oxygen (final) = 1.5 * 2 = 3

    Therefore, the most likely empirical formula for this compound is Cr2O3.

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