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  • Calculating Mass of NaOH in a Solution: A Step-by-Step Guide
    Here's how to solve this problem:

    1. Understand Molarity

    Molarity (M) is a unit of concentration that represents moles of solute per liter of solution.

    2. Calculate Moles of NaOH

    * Molarity = moles of solute / liters of solution

    * We know the molarity (1.53 M) and the volume (3.87 L). We can rearrange the equation to solve for moles:

    * moles of NaOH = Molarity * liters of solution

    * moles of NaOH = 1.53 M * 3.87 L = 5.92 moles of NaOH

    3. Calculate Mass of NaOH

    * We need the molar mass of NaOH. The molar mass is the sum of the atomic masses of each element in the compound:

    * Na: 22.99 g/mol

    * O: 16.00 g/mol

    * H: 1.01 g/mol

    * Molar mass of NaOH = 22.99 + 16.00 + 1.01 = 40.00 g/mol

    * Now we can convert moles of NaOH to grams:

    * mass of NaOH = moles of NaOH * molar mass of NaOH

    * mass of NaOH = 5.92 moles * 40.00 g/mol = 236.8 g

    Therefore, there are 236.8 grams of NaOH present in the solution.

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