JEE Main · 2025 · Shift-IIhardEC-129

40 mL of a mixture of CH3COOH and HCl (aqueous solution) is titrated against 0.1 M NaOH solution conductometrically.…

Electrochemistry · Class 12 · JEE Main Previous Year Question

Question

40 mL of a mixture of \ceCH3COOH\ce{CH3COOH} and \ceHCl\ce{HCl} (aqueous solution) is titrated against 0.1 M \ceNaOH\ce{NaOH} solution conductometrically. Which of the following statement is correct? image

Options
  1. a

    The concentration of \ceCH3COOH\ce{CH3COOH} in the original mixture is 0.005 M

  2. b

    The concentration of \ceHCl\ce{HCl} in the original mixture is 0.005 M

  3. c

    \ceCH3COOH\ce{CH3COOH} is neutralised first followed by neutralisation of \ceHCl\ce{HCl}

  4. d

    Point C indicates the complete neutralisation of \ceHCl\ce{HCl}

Correct Answerb

The concentration of \ceHCl\ce{HCl} in the original mixture is 0.005 M

Detailed Solution

Strategy: Analyze the conductometric titration curve. The first segment represents the neutralization of the strong acid (\ceHCl\ce{HCl}), and the second represents the weak acid (\ceCH3COOH\ce{CH3COOH}).

Point Analysis:

  • 0 to 2 mL: Conductan\ce drops rapidly as \ceH+\ce{H^+} (highly mobile) is repla\ced by \ceNa+\ce{Na^+} (less mobile). \ceHCl\ce{HCl} is being neutralized.
  • 2 to 5 mL: Conductan\ce rises slowly/remains stable as \ceCH3COOH\ce{CH3COOH} forms \ceCH3COONa\ce{CH3COONa}.
  • Beyond 5 mL: Ex\cess \ceNaOH\ce{NaOH} causes conductan\ce to rise rapidly (\ceOH\ce{OH^-} is highly mobile).

Calculation:

  • Vol for \ceHCl=2 mL\ce{HCl} = 2 \text{ mL}. M\ceHCl×40=0.1×2    M\ceHCl=0.005 MM_{\ce{HCl}} \times 40 = 0.1 \times 2 \implies M_{\ce{HCl}} = 0.005 \text{ M}. ✓ Correct.
  • Vol for \ceCH3COOH=52=3 mL\ce{CH3COOH} = 5 - 2 = 3 \text{ mL}. M\ceacid×40=0.1×3    M\ceacid=0.0075 MM_{\ce{acid}} \times 40 = 0.1 \times 3 \implies M_{\ce{acid}} = 0.0075 \text{ M}.

Answer: (b) \boxed{\text{Answer: (b) }}

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