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1.5.4Principles of Chemistry

Calculate Reacting Masses — Edexcel International GCSE Science Double Award 4SD0 - Chemistry Revision Notes & Topical Questions

5 min read 11 parts Lesson 25 of 50

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Part 1 of 5The three-step approach

1Moles of the known substance
  • Moles of the known substance Convert the given mass into moles using moles = mass ÷ Mr.
2Use the equation ratio
  • Use the equation ratio The big numbers in the balanced equation give the mole ratio between the known and the wanted substance.
3Convert to mass
  • Convert to mass Multiply the moles of the wanted substance by its Mr to give the mass in grams.

Part 2 of 5Worked example: burning magnesium

1
Question: what mass of magnesium oxide forms when 6.0 g of magnesium burns completely? 2Mg + O2 → 2MgO (Ar: Mg = 24, O = 16).
2
Moles of Mg = 6.0 ÷ 24 = 0.25 mol.
3
The equation shows 2 mol Mg gives 2 mol MgO, a 1 : 1 ratio, so 0.25 mol MgO forms.
4
Mr of MgO = 24 + 16 = 40, so mass = 0.25 × 40 = 10 g.

Part 3 of 5Worked example: a ratio that is not 1:1

StepWorking
Equation2Al2O3 → 4Al + 3O2
QuestionMaximum mass of aluminium from 51 tonnes of Al2O3 (Ar: Al = 27, O = 16)
Convert mass51 tonnes = 51 000 000 g
Mr of Al2O3(2 × 27) + (3 × 16) = 102
Moles of Al2O351 000 000 ÷ 102 = 500 000 mol
Ratio2 mol Al2O3 gives 4 mol Al, so moles Al = 2 × 500 000 = 1 000 000
Mass of Al1 000 000 × 27 = 27 000 000 g = 27 tonnes

Part 4 of 5Finding the equation from masses

Masses → moles → simplest ratio
Convert each mass
  • Convert each mass Divide the mass of each reactant and product by its Mr to find moles.
Divide by the smallest
  • Divide by the smallest Divide all mole values by the smallest one to find the simplest whole-number ratio.
Write the equation
  • Write the equation Use the ratio as the big numbers in front of each formula, then check that the atoms balance.

Part 5 of 5Exam wording and good habits

Key phrases
  • Key phrases 'Calculate the mass', 'minimum mass' and 'maximum mass' all signal this same moles, ratio, mass method.
Units
  • Units Convert tonnes to grams (1 tonne = 106 g) or kilograms to grams before starting, and convert back at the end if asked.
Check the equation
  • Check the equation Make sure the equation is balanced before using the ratio, otherwise the answer will be wrong.

Key terms

TermMeaning
Mole ratioThe ratio of the amounts in moles of substances in a balanced equation.
Reacting massThe mass of a reactant or product involved in a reaction.
Balanced equationAn equation with equal numbers of each type of atom on both sides.
Relative formula massThe sum of the relative atomic masses in a formula.
TonneA unit of mass equal to 1 000 000 g.

Avoid these mistakes

1
Using the mass ratio of the equation instead of the mole ratio. Always convert to moles first.
2
Using the wrong Mr at the last step, such as the reactant's Mr instead of the product's.
3
Forgetting to multiply the Mr by the coefficient. The ratio comes from the big numbers only.
4
Not converting tonnes or kilograms to grams, which is a power-of-ten error.

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