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20 July, 10:25

A 0.1873 g sample of a pure, solid acid, H2X (a diprotic acid) was dissolved in water and titrated with 0.1052 M NaOH solution. If the molar mass of H2X is 85.00 g/mol, calculate the volume of NaOH solution needed in the titration.

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  1. 20 July, 10:47
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    We need 41.8 mL of NaOH

    Explanation:

    Step 1: Data given

    Mass of H2X = 0.1873 grams

    Molarity of NaOH solution = 0.1052 M

    Molar mass of H2X = 85.00 g/mol

    Step 2: The balanced equation

    H2X (aq) + 2 NaOH (aq) → Na2X (aq) + 2H2O (l)

    Step 3: Calculate moles of H2X

    Moles H2X = mass H2X / Molar mass H2X

    Moles H2X = 0.1873 grams / 85.00 g/mol

    Moles H2X = 0.0022 moles

    Step 4: Calculate moles of NaOH

    For 1 mol H2X we need 2 moles NaOH to produce 1 mole of Na2X and 2 moles of H2O

    For 0.0022 moles of H2X we need 0.0044 moles of NaOH

    Step 5: Calculate volume of NaOH

    Volume of NaOH = moles of NaOH / molarity of NaOH

    Volume of NaOH = 0.0044 moles / 0.1052 M

    Volume NaOH = 0.0418 L = 41.8 mL

    We need 41.8 mL of NaOH
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