JAMB 2012 Chemistry · Question 15

The highest rate of production of carbon (lV) oxide can be achieved using

Options

  1. A.0.05 mol -3HCI and 5g powdered CaCO3
  2. B.0.05 mol -3HCI and 5g lump CaCO3
  3. C.0.10 mol -3HCI and 5g powdered CaCO3
  4. D.0.025 mol -3HCI and 5g powdered CaCO3

Answer: C. 0.10 mol -3HCI and 5g powdered CaCO3

Explanation written with AI and checked against the answer key

Analyze the question: We want the fastest rate of CO₂ production from the reaction of HCl with CaCO₃:

CaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂

Concept: Rate of reaction depends on:

  1. Concentration of the reactant. Higher concentration means more frequent collisions, so a faster rate.
  2. Surface area of the solid. Powder has a much larger surface area than lumps, so it reacts faster.

(The options are written as "mol dm⁻³" HCl, so the number is the concentration.)

Solution:

  • A: 0.05 mol dm⁻³, powdered. Moderate concentration, large surface area.
  • B: 0.05 mol dm⁻³, lump. Moderate concentration, small surface area, so slower than A.
  • C: 0.10 mol dm⁻³, powdered. Highest concentration, large surface area.
  • D: 0.025 mol dm⁻³, powdered. Lowest concentration, so slower than A.

Option C combines the highest acid concentration (0.10) with the largest surface area (powder), so it gives the highest rate.

Answer: C

Exam tip: For "highest rate" questions, look for the option with the highest concentration, highest temperature, and finest particle size (powder). If one option has all of these, that is your answer.

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