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  • Chlorine Gas Required for Sodium Chloride Production: A Step-by-Step Calculation
    Here's how to solve this problem:

    1. Write the balanced chemical equation:

    2 Na + Cl₂ → 2 NaCl

    2. Determine the molar masses of the relevant substances:

    * Sodium (Na): 22.99 g/mol

    * Chlorine (Cl₂): 35.45 g/mol * 2 = 70.90 g/mol

    * Sodium chloride (NaCl): 22.99 g/mol + 35.45 g/mol = 58.44 g/mol

    3. Calculate the moles of sodium chloride:

    * Moles of NaCl = mass of NaCl / molar mass of NaCl

    * Moles of NaCl = 117 g / 58.44 g/mol = 2.00 mol

    4. Use the mole ratio from the balanced equation to find moles of chlorine:

    * From the equation, 1 mole of Cl₂ reacts to produce 2 moles of NaCl.

    * Therefore, 2.00 mol NaCl requires 2.00 mol NaCl * (1 mol Cl₂ / 2 mol NaCl) = 1.00 mol Cl₂

    5. Calculate the mass of chlorine:

    * Mass of Cl₂ = moles of Cl₂ * molar mass of Cl₂

    * Mass of Cl₂ = 1.00 mol * 70.90 g/mol = 70.9 g

    Answer: You need 70.9 grams of chlorine gas to make 117 grams of sodium chloride.

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