1.4.4Additional lessons
Molar Concentration — IB Chemistry HL Revision Notes & Topical Questions
5 min read 5 parts Lesson 17 of 172
Curriculum Equation Key قوانين المول والحسابات الكيميائية - Moles & Stoichiometry FormulasFast Exam Solution
n = m / M_r | N = n × N_A (6.022 × 10²³) | M = n / V | V_gas = n × 22.4 L (STP)
Word Equation & Conditions: عدد المولات = الكتلة بالجرام ÷ الكتلة المولية | عدد الجسيمات = عدد المولات × عدد أفوجادرو
Location & Specifications: كيمياء التحصيلي وثانوي وبكالوريا و Cambridge IGCSE Chemistry.
Section 1 of 5Concentration
The concentration of a solution tells us how much solute is dissolved in a given volume of solution.
Definition
- Definition Molar concentration c = n ÷ V, where n is the amount of solute in mol and V is the volume in dm³.
Units
- Units The unit is mol dm⁻³, sometimes written M, and the square-bracket notation [X] means the concentration of X.
Conversion
- Conversion 1 dm³ = 1000 cm³, so volume in cm³ must be divided by 1000.
Mass concentration
- Mass concentration Concentration may also be given in g dm⁻³, which is mass of solute divided by volume.
Section 2 of 5Calculation Steps
Most problems can be solved with these steps.
1
Convert the volume from cm³ to dm³ by dividing by 1000.
2
If the mass of solute is given, divide it by the molar mass to find the amount in moles.
3
Calculate concentration using c = n ÷ V, or rearrange to n = c × V.
4
For dilution, the amount of solute stays constant, so c₁V₁ = c₂V₂.
5
Check that the answer has the correct unit and sensible size.
Section 3 of 5Related Ideas
Related Ideas
Parts per million
- Parts per million ppm is mass of solute per million parts of mass of solution, used for very dilute solutions.
Standard solution
- Standard solution A solution of accurately known concentration made in a volumetric flask.
Titration
- Titration The known concentration of a standard solution is used to find an unknown concentration.
Ions
- Ions For Na₂SO₄ of 0.10 mol dm⁻³, [Na⁺] = 0.20 mol dm⁻³ and [SO₄²⁻] = 0.10 mol dm⁻³.
Section 4 of 5Worked Example
Question
- 4.00 g of NaOH is dissolved to make 250 cm³ of solution.
- Find the concentration, then the concentration after diluting 25.0 cm³ to 100 cm³.
- M(NaOH) = 40.00 g mol⁻¹, so n = 4.00 ÷ 40.00 = 0.100 mol.
- c = 0.100 ÷ 0.250 = 0.400 mol dm⁻³.
- c₂ = 0.400 × 25.0 ÷ 100 = 0.100 mol dm⁻³.
Answer
- 0.400 mol dm⁻³;
- after dilution 0.100 mol dm⁻³
Section 5 of 5Exam Checklist & Tips
1.4.4 – Key Points for the Exam
- Concentration Amount of solute per unit volume of solution.
- Solute The substance dissolved in a solvent.
- Dilution Adding solvent to decrease concentration while the amount of solute stays the same.
- Standard solution A solution whose concentration is known accurately.
Common Mistakes
- Using the volume in cm³ without converting to dm³.
- Using the volume of solvent rather than the total volume of solution.
- Forgetting to count both ions when an ionic compound dissolves.
- Stating that the moles of solute change on dilution.
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