Volumetric analysis

exercise 10

Irene is given 200ml of 0.2M HCl solution. Her friend accidentally drops in some solid NaOH which quickly dissolves. A 20ml aliquot is taken and titrated against a 0.1M NaOH solution. The results are shown on the right.

Calculate the mass of NaOH accidentally dropped in to the 200ml solution.

Atomic mass Na =23, O =16, H=1

 
Volume
Start
12.40 mls
Finish
32.22 mls
Total
19.82 mls

The equation for the reaction is shown below.

Step 1 Calculate the mole of sodium hydroxide added to the aliquot
Mole = volume X concentration
Mole of NaOH = 0.0198 X 0.1 = 0.00198

Step 2 Using the equation calculate the number of mole of acid required to react completely
According to the equation 0.00198 mole of HCl is needed to react.

Step 3 Find the mole of acid that should have been present in the 20ml aliquot of a 0.2M solution
Mole= volume X concentration
Mole of HCl that should be present in the 20ml aliquot.
Mole = 0.02 X0.2 = 0.004


Step 4 Find the mole of acid that reacted with the NaOH which was accidentally dropped in to the solution. This will equal the mole of NaOH that was added.
Mole of NaOH added to the 20ml aliquot = 0.004 - 0.00198 = 0.002
The mole of NaOH added to the 200ml solution = (200/20) X 0.002 = 0.02

Step 5 Calculate the mass of NaOH added.
Mass = Mole X formula mass = 0.02 X 40 = 0.8 grams

 

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