Answer :
The calculated percentage purity of the original sample of calcium carbonate is 44%.
What is excess titration?
In the back titration of the excess acid, we neutralize the excess titrand left in a system.
We have the reaction equation;
CaCO3 + 2HCl ----> CaCl2 + H2O + CO2
To get the moles of HCl = 0.2254 M * 20/1000 L = 0.0045 moles
The reaction involving the excess acid occurs thus;
HCl + NaOH ----> NaCl + H2O
Number of moles of NaOH = 0.1041 M * 20/1000 = 0.0021 moles
We have a 1:1 hence 0.0021 moles of HCl reacted also
Number of moles of HCl that reacted with CaCO3 initially = 0.0045 moles - 0.0021 moles = 0.0024 moles
Given the stoichiometry of the reaction, 0.0012 moles of CaCO3 reacted.
Hence;
Mass of pure CaCO3 in the sample= 0.0012 moles * 100 g/mol = 0.12g
Percent purity of the sample = 0.12g/0.2719 g * 100/1
= 44%
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