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  • Water Production from Oxygen Consumption: A Step-by-Step Calculation
    Here's how to solve this problem:

    1. Balanced Chemical Equation

    First, we need the balanced chemical equation for the reaction of oxygen with hydrogen to produce water:

    2 H₂ + O₂ → 2 H₂O

    2. Mole Ratio

    From the balanced equation, we see that 1 mole of oxygen (O₂) reacts to produce 2 moles of water (H₂O).

    3. Calculation

    * We have 4.6 moles of oxygen.

    * Using the mole ratio, we can calculate the moles of water produced: 4.6 moles O₂ * (2 moles H₂O / 1 mole O₂) = 9.2 moles H₂O

    4. Convert Moles to Grams

    * The molar mass of water (H₂O) is 18.015 g/mol.

    * Multiply the moles of water by the molar mass to get the grams of water: 9.2 moles H₂O * 18.015 g/mol = 165.738 grams H₂O

    Therefore, 165.738 grams of water will be produced if 4.6 moles of oxygen are consumed.

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