JAMB 2018 Chemistry · Question 4
If 1 litre of 2.2M sulphuric acid is poured into a bucket containing 10 litres of water and the resulting…
Question
If 1 litre of 2.2M sulphuric acid is poured into a bucket containing 10 litres of water and the resulting solution mixed thoroughly, the resulting sulphuric acid concentration will be
- A.2.2M
- B.1.1M
- C.0.2M
- D.0.11M
Answer: C. 0.2M
Explanation written with AI and checked against the answer key
Analyze the question: This is a dilution problem. Acid of known concentration is added to water, so the amount of acid stays the same but the total volume increases.
Concept: Moles of solute stay constant during dilution:
C₁V₁ = C₂V₂
Solution:
- Moles of H₂SO₄ = 2.2 mol/L × 1 L = 2.2 mol
- Total volume after mixing = 1 L + 10 L = 11 L
- New concentration = 2.2 mol ÷ 11 L = 0.2 mol/L
Check with the formula: 2.2 × 1 = C₂ × 11, so C₂ = 2.2/11 = 0.2 M
Answer: The correct option is C (0.2M).
Common traps:
- Option D (0.11M) comes from dividing by 20 or from mistakes in the volume. Don't do that.
- Option B (1.1M) would be correct only if you added 1 L of water (total volume 2 L).
- Many students forget to add the original 1 L of acid to the 10 L of water. The final volume is 11 L, not 10 L.
Tip: For dilution questions, always find the final total volume first (acid + water). Then use C₁V₁ = C₂V₂. Here 2.2 divided by 11 gives a neat 0.2, which is a good sign you have the right volume.
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