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25.0 mL of a 0.100 mol L⁻¹ acid is to be titrated against a sodium hydroxide solution until final equivalence is reached - HSC - SSCE Chemistry - Question 16 - 2017 - Paper 1

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25.0 mL of a 0.100 mol L⁻¹ acid is to be titrated against a sodium hydroxide solution until final equivalence is reached. Which of the following acids, if used in t... show full transcript

Worked Solution & Example Answer:25.0 mL of a 0.100 mol L⁻¹ acid is to be titrated against a sodium hydroxide solution until final equivalence is reached - HSC - SSCE Chemistry - Question 16 - 2017 - Paper 1

Step 1

Determine the number of dissociable protons

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Answer

In this case, we need to analyze the two acids:

  1. Acetic Acid (CH₃COOH)

    • Acetic acid is a monoprotic acid, meaning it donates one proton (H⁺) per molecule during titration.
  2. Citric Acid (C₆H₈O₇)

    • Citric acid is a triprotic acid, meaning it can donate three protons during titration.

Given that citric acid can release more protons, it will react with sodium hydroxide in a stoichiometric ratio of 1:3.

Step 2

Calculate the moles of acid

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Answer

For a given volume and concentration of acid:

  • The number of moles of acetic acid: nAcetic=C×V=0.100extmolL1×0.025extL=0.0025extmoln_{Acetic} = C × V = 0.100 ext{ mol L}^{-1} × 0.025 ext{ L} = 0.0025 ext{ mol}

  • The number of moles of citric acid: Since we are only given the same concentration and volume, the calculation remains the same: nCitric=C×V=0.100extmolL1×0.025extL=0.0025extmoln_{Citric} = C × V = 0.100 ext{ mol L}^{-1} × 0.025 ext{ L} = 0.0025 ext{ mol}

Step 3

Determine the volume of NaOH required for titration

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Using the stoichiometric ratios for the titration reactions:

  • For acetic acid: V_{NaOH, Acetic} = rac{n_{Acetic}}{C_{NaOH}} = rac{0.0025 ext{ mol}}{0.100 ext{ mol L}^{-1}} = 0.025 ext{ L} = 25 ext{ mL}

  • For citric acid (multiplied by the stoichiometric factor of 3): V_{NaOH, Citric} = rac{n_{Citric} × 3}{C_{NaOH}} = rac{0.0025 ext{ mol} × 3}{0.100 ext{ mol L}^{-1}} = 0.075 ext{ L} = 75 ext{ mL}

Step 4

Conclusion

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Answer

Since citric acid would require a greater volume of sodium hydroxide (75 mL) compared to acetic acid (25 mL), the acid that would require the greatest volume of sodium hydroxide is B. Citric.

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