A pure sample of barium hydroxide of mass 5.29 g was dissolved and diluted to the mark in a 250 mL volumetric flask. It was found that 13.4 mL of this solution was needed to reach the stoichiometric point in a titration of 23.4 mL of a nitric acid solution. Calculate the molarity of the HNO3 solution. Answer in units of M.
Equation of reaction
Ba(OH)2 + 2HNO3 -------- Ba(NO3)2+2H2O
To find the conc of Ba(OH)2 in mol/dm3 we need the concentration in g/dm3
To find the conc in g/dm3
If 250mL contains 5.29g of Ba(OH)2
Then 1000mL will contain=5.29×1000/250
=21.16g/dm3
Conin mol/dm3 = conc in g/dm3÷molar mass
Conc of Ba(OH)2 in mol/dm3=21.16/171
=0.124mol/dm3
To calculate the conc of HNO3,we use the formula;
CaVa/na=CbVb/no
Where Ca=conc of acid Cb=conc of base
Va=vol of acid Vb=vol of base
na=no of mole of acid nb=no of mole of base
Making Ca the subject of the formula we have;
Ca=CbVbna/Vanb
Ca=0.124×13.4×2/1×23.4
Ca=0.142
Therefore the molarity of HNO3=0.142M
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