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Chemistry · Grades 9–12

Dilution with conserved solute

Final volume is the total solution volume; assume no reaction or solute loss.

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Rule and assumptions

Final volume is the total solution volume; assume no reaction or solute loss.

c₂ = c₁V₁/V₂

Worked examples

A 39 mL aliquot at 0.5 mol/L is diluted to 117 mL total without reaction or loss. Find the final concentration. Round to 3 decimal places if needed. Answer in mol/L.

c₂ = c₁V₁/V₂ 0.5 × 39/117 = 0.167

0.167 mol/L

A 39 mL aliquot at 1.8 mol/L is diluted to 468 mL total without reaction or loss. Find the final concentration. Round to 3 decimal places if needed. Answer in mol/L.

c₂ = c₁V₁/V₂ 1.8 × 39/468 = 0.15

0.15 mol/L

Try two questions

  1. A 100 mL aliquot at 0.1 mol/L is diluted to 1100 mL total without reaction or loss. Find the final concentration. Round to 3 decimal places if needed. Answer in mol/L.

  2. A 82 mL aliquot at 1.5 mol/L is diluted to 164 mL total without reaction or loss. Find the final concentration. Round to 3 decimal places if needed. Answer in mol/L.

Answers and reasoning

Answers and marking notes
  1. 0.009 mol/L

    c₂ = c₁V₁/V₂ 0.1 × 100/1100 = 0.009

  2. 0.75 mol/L

    c₂ = c₁V₁/V₂ 1.5 × 82/164 = 0.75

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.