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  • Oxygen Atoms in Carbon Dioxide: A Step-by-Step Calculation
    Here's how to solve this problem:

    1. Convert kilograms to grams:

    * 1 kg = 1000 g

    * 12.3 kg CO₂ = 12.3 kg * 1000 g/kg = 12300 g CO₂

    2. Calculate the moles of carbon dioxide:

    * Molar mass of CO₂ = 12.01 g/mol (C) + 2 * 16.00 g/mol (O) = 44.01 g/mol

    * Moles of CO₂ = (mass of CO₂) / (molar mass of CO₂) = 12300 g / 44.01 g/mol = 279.5 mol CO₂

    3. Determine the moles of oxygen atoms:

    * There are 2 moles of oxygen atoms per 1 mole of CO₂.

    * Moles of O atoms = 279.5 mol CO₂ * (2 mol O / 1 mol CO₂) = 559 mol O

    4. Calculate the number of oxygen atoms:

    * Avogadro's number = 6.022 x 10²³ atoms/mol

    * Number of O atoms = 559 mol O * 6.022 x 10²³ atoms/mol = 3.37 x 10²⁶ atoms

    Therefore, there are approximately 3.37 x 10²⁶ atoms of oxygen in 12.3 kg of carbon dioxide.

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