21.0 mL of 0.204 M KMnO4 are needed to react with 3.24 g of FeSO4.
Here's how to solve the problem:
Step 1: Calculate the moles of FeSO4
1. Molar mass of FeSO4 = 55.8 (Fe) + 32.07 (S) + 4 * 16 (O) = 151.91 g/mol
2. Moles of FeSO4 = 3.24 g / 151.91 g/mol = 0.0214 mol
Step 2: Use the balanced equation to find the moles of KMnO4
From the balanced equation, 10 moles of FeSO4 react with 2 moles of KMnO4:
10 FeSO4 + 2 KMnO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + 8 H2O
Therefore, the moles of KMnO4 needed is:
0.0214 mol FeSO4 * (2 mol KMnO4 / 10 mol FeSO4) = 0.00428 mol KMnO4
Step 3: Calculate the volume of KMnO4 solution
1. Molarity of KMnO4 solution = 0.204 mol/L
2. Volume of KMnO4 solution = moles of KMnO4 / molarity of KMnO4 solution
3. Volume of KMnO4 solution = 0.00428 mol / 0.204 mol/L = 0.0210 L = 21.0 mL
Therefore, 21.0 mL of 0.204 Mol KMnO4 are needed to react with 3.24 g of iron(II) sulfate.