The amount of CaCO₃ in the tablet : 0.5219 g
Reaction
1. CaCO₃(in antacid) + 2HCl⇒ CaCl₂+H₂CO₃
2. Titration ⇒ HCl+NaOH⇒NaCl+H₂O
For titration :
M₁V₁.n₁=M₂V₂n₂(n=acid/base valence⇒NaOH/HCl=1)
mol HCl=mol NaOH = excess HCl
[tex]\tt 27.2\times 0.09767=2.657~mlmol[/tex]
mol HCl
[tex]\tt 75\times 0.1746=13.095~mlmol[/tex]
Moles of HCl used (reacted with CaCO₃) :
initial HCl - excess HCl =
[tex]\tt 13.095-2.657=10.438~mlmol=0.010438~mol[/tex]
From reaction 1 :
mol HCl : mol CaCO₃ = 2 : 1
[tex]\tt mol~CaCO_3=\dfrac{1}{2}\times 0.010438=0.005219[/tex]
mass of CaCO₃ :
[tex]\tt 0.005219\times 100~g/mol=0.5219~g[/tex]