The amount of CaCO₃ in the tablet : 0.5219 g
Further explanation
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
![\tt 27.2* 0.09767=2.657~mlmol](https://img.qammunity.org/2021/formulas/chemistry/college/fj61vjeh84dk8d9tevzjcvuzxr6jtocnxg.png)
mol HCl
![\tt 75* 0.1746=13.095~mlmol](https://img.qammunity.org/2021/formulas/chemistry/college/adm286fszw9hgsnn37gm1fltpwni48hmi9.png)
Moles of HCl used (reacted with CaCO₃) :
initial HCl - excess HCl =
![\tt 13.095-2.657=10.438~mlmol=0.010438~mol](https://img.qammunity.org/2021/formulas/chemistry/college/n1lxncss6tkcwku5ngu5m28f4xoucu0hxc.png)
From reaction 1 :
mol HCl : mol CaCO₃ = 2 : 1
![\tt mol~CaCO_3=(1)/(2)* 0.010438=0.005219](https://img.qammunity.org/2021/formulas/chemistry/college/djuuf4o6zav0ymde9gc5a27odub6x6tv3k.png)
mass of CaCO₃ :
![\tt 0.005219* 100~g/mol=0.5219~g](https://img.qammunity.org/2021/formulas/chemistry/college/9z10iscwzn4wfluoac38q1ptvrzb6dye69.png)