Answer:
93,32 % (w/w)
Explanation:
The Ca²⁺ of CaCO₃ was completely precipitate to CaC₂O₄ that results in H₂C₂O₄. The titration of this one is:
3H₂C₂O₄ + 2H⁺ + MnO₄⁻ → Mn²⁺ + 4H₂O + 6CO₂
As you required 35,62mL of 0,1092M MnO₄⁻, the moles of H₂C₂O₄ are:
0,03562L×[tex]\frac{0,1092M}{L}[/tex] =
3,890x10⁻³mol of MnO₄⁻×[tex]\frac{3molH_{2}C_{2}O_{4}}{1mol MnO_{4}^-} [/tex] = 0,01167 mol of H₂C₂O₄
The number of moles of CaCO₃ are the same number of moles of H₂C₂O₄ because every Ca²⁺ was converted in CaC₂O₄ that was converted in H₂C₂O₄. That means: 0,01167 mol of CaCO₃
0,01167 mol of CaCO₃ are:
0,01167 mol of CaCO₃×[tex]\frac{100,0869g}{1mol}[/tex] = 1,168 g of CaCO₃
As the mass of the initial mixture is 1,2516 g, the percentage by weight of CaCO₃ is:
[tex]\frac{1,168g}{1,2516g}[/tex]×100 = 93,32 % (w/w)
I hope it helps!