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  • How to Calculate Concentration in a Titration: Step‑by‑Step Guide

    By Jack Brubaker
    Updated Aug 30, 2022

    Step 1: Write the Balanced Equation

    Before starting, identify the titrant and analyte, then write the balanced reaction they undergo. For example, titrating acetic acid (CH3COOH) with sodium hydroxide (NaOH) yields:

    CH3COOH + NaOH → CH3COONa + H2O

    The coefficients on the left side give the molar ratio—in this case 1:1.

    Step 2: Convert Titrant Volume to Liters

    Record the burette reading at the end point (when the analyte is fully consumed). Convert milliliters to liters by dividing by 1,000. For instance, 39.75 mL of NaOH becomes:

    39.75 mL ÷ 1,000 mL L-1 = 0.03975 L NaOH

    Step 3: Calculate Moles of Titrant

    Multiply the volume of titrant by its known concentration. If the NaOH solution is 0.1044 mol L-1:

    0.03975 L × 0.1044 mol L-1 = 0.004150 mol NaOH

    Step 4: Determine Moles of Analyte

    Use the molar ratio from Step 1 to convert titrant moles to analyte moles:

    0.004150 mol NaOH × (1 mol CH3COOH ÷ 1 mol NaOH) = 0.004150 mol CH3COOH

    Step 5: Compute Analyte Concentration

    Divide the moles of analyte by the volume of the sample (in liters). If 5.00 mL of vinegar was used:

    5.00 mL = 0.00500 L
    (0.004150 mol CH3COOH) ÷ 0.00500 L = 0.830 mol L-1

    Thus, the vinegar contains 0.830 mol L-1 of acetic acid.

    Things Needed

    • Accurate calculator
    • Recorded titration data (volumes, concentrations)
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