The Mole and Stoichiometry: Question 7

Syllabus 3.1, 3.2

Structured Core 5 marks

A blacksmith heats a ball of iron wool in a Bunsen burner flame in the open air. The iron reacts with oxygen gas to form iron(III) oxide, a reddish-brown solid.

(a) Construct the balanced symbol equation, including state symbols, for this reaction. [2]

(b) Calculate the relative formula mass, MrM_r, of iron(III) oxide, Fe2O3\text{Fe}_2\text{O}_3. (ArA_r: Fe =56= 56, O =16= 16) [1]

(c) A separate sample contains 5.6 g5.6\ \text{g} of iron. Calculate the number of moles of iron atoms in this sample. (ArA_r: Fe =56= 56) [2]

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Worked solution

Part (a): Balanced symbol equation

Iron reacts with oxygen from the air. Iron(III) oxide has the formula Fe2O3\text{Fe}_2\text{O}_3 (each iron ion is Fe3+\text{Fe}^{3+} and each oxide ion is O2\text{O}^{2-}, so two iron ions balance three oxide ions).

Starting from Fe+O2Fe2O3\text{Fe} + \text{O}_2 \rightarrow \text{Fe}_2\text{O}_3, balance the oxygen atoms first (a multiple of 22 on the left must match a multiple of 33 on the right, so use 66 oxygen atoms), then balance the iron atoms:

4Fe(s)+3O2(g)2Fe2O3(s)4\text{Fe(s)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{Fe}_2\text{O}_3\text{(s)}

Check: Fe =4=4 on each side; O =3×2=6=3\times2=6 on the left, 2×3=62\times3=6 on the right. Balanced.

Part (b): Relative formula mass of iron(III) oxide

Mr(Fe2O3)=(2×Ar(Fe))+(3×Ar(O))M_r(\text{Fe}_2\text{O}_3) = (2\times A_r(\text{Fe})) + (3\times A_r(\text{O}))

Mr(Fe2O3)=(2×56)+(3×16)=112+48=160M_r(\text{Fe}_2\text{O}_3) = (2\times56) + (3\times16) = 112+48=160

Part (c): Moles of iron atoms

Use moles=massmolar mass\text{moles} = \dfrac{\text{mass}}{\text{molar mass}}, with the molar mass of iron atoms equal to Ar(Fe)=56 g/molA_r(\text{Fe})=56\ \text{g/mol}:

moles of Fe=5.656=0.1 mol\text{moles of Fe} = \frac{5.6}{56} = 0.1\ \text{mol}

Final answers

  • (a) 4Fe(s)+3O2(g)2Fe2O3(s)4\text{Fe(s)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{Fe}_2\text{O}_3\text{(s)}
  • (b) Mr(Fe2O3)=160M_r(\text{Fe}_2\text{O}_3) = \boxed{160}
  • (c) Moles of Fe =0.1 mol= \boxed{0.1}\ \text{mol}