144 9 · CALCULATING CONCENTRATIONS
Reactions of solids with solutions
Calculations involving the reaction of a solid with a solution can be worked out in a
similar manner.
Redox titrations
(i)ii25 cm^3 of a solution of an iron(II) salt needed 13.5 cm^3 of a 0.020 mol dm^3 solution of
potassium dichromate for complete oxidation to iron(III). Write the balanced overall redox
equation for the reaction and calculate the concentration of Fe^2 (aq) in the original
solution.
(ii)iCerium(IV) ions are reduced by oxalate ions in solution:
(ii)i2Ce^4 (aq) + C 2 O 42 (aq)2Ce^3 (aq) + 2CO 2 (g)
(ii)iFerroin indicator is used in the titration. Calculate the volume of 0.050 mol dm^3 cerium(IV)
solution needed to exactly react with 25 cm^3 of 0.050 mol dm^3 oxalate ion solution.
(iii)Calculate the volume of a 0.020 mol dm^3 solution of potassium permanganate that is
needed for the complete oxidation of 0.0070 mol of iron(II) oxalate solution. (Be careful! –
there are two oxidations occurring here – the oxidation of iron(II) to iron(III) and the
oxidation of the oxalate ion to carbon dioxide.)
Exercise 9F
Example 9.6
What mass of zinc will react completely with 50.0 cm^3 of
0.100 mol dm^3 sulfuric acid?
Answer
Write the balanced equation for the reaction:
Zn(s) + H 2 SO 4 (aq)ZnSO 4 (aq) + H 2 (g)
Work out the molar relationship between the two reactants:
1 mol Zn 1 mol H 2 SO 4
Express this ratio as a fraction:
amount of Zn in moles 1
amount of H 2 SO 4 in moles
1
Since, for a solution, the number of moles volumemolar concentration, we
can substitute this expression for H 2 SO 4 only(zinc is a solid, not a solution):
amount of Zn in moles 1
volmolar concentration H 2 SO 4
1
Substitute the values given in the equation:
amount of Zn in moles
1
50.0/10000.100 1
Therefore, the moles of zinc needed is
50.0
1000
0.1000.005 00 mol
and the mass of zinc required 0.005 00 65 0.325 g.