1.4.2Additional lessons
Molar Mass — IB Chemistry HL Revision Notes & Topical Questions
5 min read 5 parts Lesson 15 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 5Molar Mass
The molar mass is the mass of one mole of a substance.
Definition
- Definition Molar mass M has units g mol⁻¹ and is numerically equal to the relative atomic or formula mass.
Elements
- Elements For an element, M is the relative atomic mass in g mol⁻¹, such as 12.01 for carbon.
Compounds
- Compounds For a compound, add the relative atomic masses of all the atoms in the formula.
Hydrates
- Hydrates Include water of crystallisation, so CuSO₄·5H₂O has the mass of five water molecules added.
Section 2 of 5Mass and Moles
The equation n = m ÷ M converts between mass and amount.
1
Write down the formula and use the periodic table to find the relative atomic masses of the elements.
2
Add up the masses of all atoms in the formula to find M.
3
To find moles, divide the mass in grams by the molar mass.
4
To find mass, multiply moles by molar mass.
5
Use significant figures that match the data, and include the unit in the final answer.
Section 3 of 5Worked Values
Worked Values
Water
- Water M(H₂O) = 2 × 1.01 + 16.00 = 18.02 g mol⁻¹.
Calcium carbonate
- Calcium carbonate M(CaCO₃) = 40.08 + 12.01 + 3 × 16.00 = 100.09 g mol⁻¹.
Bracketed formula
- Bracketed formula In Ca(OH)₂ the bracket multiplies both atoms, so there are two O and two H.
Check
- Check The answer should be sensible: a few grams of a compound typically corresponds to a few hundredths of a mole.
| Substance | M / g mol⁻¹ |
|---|---|
| H₂O | 18.02 |
| CO₂ | 44.01 |
| NaCl | 58.44 |
Section 4 of 5Worked Example
Question Calculate the amount of CaCO₃ in 5.00 g, and the number of formula units.
- M(CaCO₃) = 40.08 + 12.01 + 3 × 16.00 = 100.09 g mol⁻¹.
- n = 5.00 ÷ 100.09 = 0.0500 mol.
- Number = 0.0500 × 6.02 × 10²³ = 3.01 × 10²² formula units.
Answer 0.0500 mol; 3.01 × 10²² formula units
Section 5 of 5Exam Checklist & Tips
1.4.2 – Key Points for the Exam
- Molar mass The mass of one mole of a substance, in g mol⁻¹.
- Relative formula mass The sum of the relative atomic masses in a formula unit.
- Water of crystallisation Water molecules that are part of the crystal structure of a hydrate.
- Formula unit The simplest ratio of ions in an ionic compound.
Common Mistakes
- Forgetting to multiply atoms inside a bracket by the subscript outside it.
- Using kg or mg instead of g when applying n = m ÷ M.
- Confusing molar mass, with units, and relative molecular mass, which has none.
- Dropping the water of crystallisation from the molar mass of a hydrate.
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