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Some Basic Concepts of Chemistry question

2020 · Shift 1 · Q13
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Some Basic Concepts of Chemistry question

2020 · Shift 1 · Q13

JEE AdvancedChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
5.00 mL of 0.10 M oxalic acid solution taken in a conical flask is titrated against NaOH from a burette using phenolphthalein indicator. The volume of NaOH required for the appearance of permanent faint pink color is tabulated below for five experiments. What is the concentration, in molarity, of the NaOH solution?

Exp. No. Vol. of NaOH (mL)
1 12.5
2 10.5
3 9.0
4 9.0
5 9.0
Numerical answer
View written solutionFree

Correct answer: 0.11

Step-by-step Solution:

  1. Analyze the Titration Data

    The volumes of NaOH solution used in the five experiments are 12.5 mL, 10.5 mL, 9.0 mL, 9.0 mL, and 9.0 mL. In a titration, multiple readings are taken to ensure accuracy. The first reading is often a rough estimate and subsequent readings that are close to each other (concordant) are used for calculation. The readings 9.0 mL, 9.0 mL, and 9.0 mL are concordant. Therefore, the average volume of NaOH solution used for the titration is: VNaOH=9.0+9.0+9.03=9.0 mLV_{\text{NaOH}} = \frac{9.0 + 9.0 + 9.0}{3} = 9.0 \text{ mL}VNaOH​=39.0+9.0+9.0​=9.0 mL

  2. Write the Balanced Chemical Equation

    The reaction is a neutralization reaction between oxalic acid (H2C2O4H_2C_2O_4H2​C2​O4​), a diprotic acid, and sodium hydroxide (NaOH), a monoprotic base. The balanced chemical equation is: H2C2O4(aq)+2NaOH(aq)→Na2C2O4(aq)+2H2O(l)H_2C_2O_4 (aq) + 2NaOH (aq) \rightarrow Na_2C_2O_4 (aq) + 2H_2O (l)H2​C2​O4​(aq)+2NaOH(aq)→Na2​C2​O4​(aq)+2H2​O(l)

  3. Determine the Stoichiometry

    From the balanced equation, 1 mole of oxalic acid reacts completely with 2 moles of sodium hydroxide. The stoichiometric coefficient for oxalic acid (nacidn_{\text{acid}}nacid​) is 1. The stoichiometric coefficient for sodium hydroxide (nbasen_{\text{base}}nbase​) is 2.

  4. Apply the Titration Formula

    At the equivalence point, the relationship between the acid and base is given by the formula: Macid×Vacidnacid=Mbase×Vbasenbase\frac{M_{\text{acid}} \times V_{\text{acid}}}{n_{\text{acid}}} = \frac{M_{\text{base}} \times V_{\text{base}}}{n_{\text{base}}}nacid​Macid​×Vacid​​=nbase​Mbase​×Vbase​​ Where:

    • MacidM_{\text{acid}}Macid​ = Molarity of oxalic acid = 0.10 M
    • VacidV_{\text{acid}}Vacid​ = Volume of oxalic acid = 5.00 mL
    • nacidn_{\text{acid}}nacid​ = 1
    • MbaseM_{\text{base}}Mbase​ = Molarity of NaOH (to be calculated)
    • VbaseV_{\text{base}}Vbase​ = Volume of NaOH = 9.0 mL
    • nbasen_{\text{base}}nbase​ = 2
  5. Calculate the Molarity of NaOH

    Substitute the known values into the formula: 0.10 M×5.00 mL1=MNaOH×9.0 mL2\frac{0.10 \text{ M} \times 5.00 \text{ mL}}{1} = \frac{M_{\text{NaOH}} \times 9.0 \text{ mL}}{2}10.10 M×5.00 mL​=2MNaOH​×9.0 mL​ Now, solve for MNaOHM_{\text{NaOH}}MNaOH​: MNaOH=0.10×5.00×29.0M_{\text{NaOH}} = \frac{0.10 \times 5.00 \times 2}{9.0}MNaOH​=9.00.10×5.00×2​ MNaOH=1.09.0M_{\text{NaOH}} = \frac{1.0}{9.0}MNaOH​=9.01.0​ MNaOH=0.1111... MM_{\text{NaOH}} = 0.1111... \text{ M}MNaOH​=0.1111... M Rounding to two significant figures (consistent with the input data like 0.10 M and 9.0 mL), we get: MNaOH≈0.11 MM_{\text{NaOH}} \approx 0.11 \text{ M}MNaOH​≈0.11 M

Thus, the concentration of the NaOH solution is 0.11 M.

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