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

    1. Balanced Chemical Equation:

    The electrolysis of water produces hydrogen and oxygen gas:

    2 H₂O(l) → 2 H₂(g) + O₂(g)

    2. Moles of Water:

    * Calculate the moles of water using its molar mass (18.015 g/mol):

    Moles of H₂O = (90 g) / (18.015 g/mol) = 5 moles

    3. Moles of Hydrogen:

    * From the balanced equation, 2 moles of water produce 2 moles of hydrogen. Therefore, 5 moles of water produce 5 moles of hydrogen.

    4. Volume of Hydrogen at STP:

    * At STP (Standard Temperature and Pressure: 0°C and 1 atm), 1 mole of any gas occupies 22.4 liters.

    * Calculate the volume of hydrogen:

    Volume of H₂ = (5 moles) * (22.4 L/mol) = 112 L

    Answer: 112 liters of hydrogen gas would be produced at STP.

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