Titration to calculate the purity of a solid

You have read the exam question carefully and decided that the following are the key bits of information:

  • 1.50 g of impure Na2O reacts and dissolves to make a 150 cm3 solution
  • A 50 cm3 sample is titrated with 13.7 cm3 of 0.5 mol dm-3 HNO3
  • Determine the % by mass purity of Na2O.
Step 1

We know that moles = concentration x volume:

n HNO3 = 0.5 x (13.7 / 1000) =  6.85 x 10-3 mol

Step 2

The balanced symbol equation isn’t given so we need to work it out. There are actually two reactions to consider here:

Na2O + H2O –> 2 NaOH

NaOH + HNO3 –> NaNO3 + H2O

Step 3

There is a 1:1 ratio between NaOH and HNO3

n NaOH = 6.85 x 10-3 mol (in 50 cm3 sample)

Step 4

The total is 3x bigger than the sample (i.e., 150 / 3):

n NaOH = 3 x 6.85 x 10-3 mol = 2.06 x 10-2 mol in total

Step 5

There is a 1:2 ratio between Na2O and NaOH

n Na2O = 0.5 x 2.06 x 10-2 mol = 0.0103 mol in total

Step 6

The relative formula mass (Mr) of Na2O is 62. This means that the actual mass of Na2O in the impure solid is:

m Na2O = 0.0103 x Mr = 0.0103 x 62 = 0.64 g

Step 7

The % by mass purity is then calculated using:

% by mass purity = 0.64 / 1.50 x 100 = 43%