We can solve this problem through the following steps
The moles of HCl treated with the antacid for neutralisation = M1xV1 = 50.00x10-3 Lx0.100molL-1 = 5x10-3 mol
the moles of excess HCl that is not neutralised by the antacid = moles of NaOH required for back titration = M2xV2 = 4.21x10-3 Lx1.200 molL-1= 5.052x10-3 mol
However this is not possible because the moles of excess HCl that is not neutralised by the antacid can never be greater than the initial moles of HCl taken.
So please recheck the numerical values of the question.
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