Final answer:
The percent C₂O₄²⁻ in the complex K₃[Fe(C₂O₄)₃]*3H₂O is determined to be 50.4%, and this value is also the percent purity of the complex since the titration assumes all oxalate comes from the pure complex.
Step-by-step explanation:
To determine the percent C₂O₄²⁻ in the complex and the percent purity of K₃[Fe(C₂O₄)₃]*3H₂O, we need to perform a series of calculations based on the information given.
Step-by-Step Calculation
Find moles of KMnO₄ used: Moles = Molarity × Volume in liters = 0.0200 M × 0.02870 L = 5.74 × 10⁻⁴ moles.
The balanced chemical equation for KMnO₄ titrating C₂O₄²⁻ shows that the molar ratio is 2:5 (KMnO₄:C₂O₄²⁻). So, moles of C₂O₄²⁻ in the sample = 5.74 × 10-4 moles × (5/2) = 1.435 × 10-3 moles.
Calculate the mass of C₂O₄²⁻: Moles × Molar mass of C₂O₄²⁻ (88.02 g/mol) = 1.435 × 10-3 moles × 88.02 g/mol = 0.126 g.
Calculate percent C₂O₄²⁻ in the complex: (Mass of C₂O₄²⁻ / Mass of sample) × 100 = (0.126 g / 0.250 g) × 100 = 50.4%.
The percent purity of the complex is the same as the percent C₂O₄²⁻ as it is assumed all C₂O₄²⁻ comes from the pure complex.