📖 Explanation
The redox titration between KMnO4 and FeSO4 in an acidic medium relies on the principle that the number of equivalents of the oxidizing agent must equal the number of equivalents of the reducing agent. In this reaction, KMnO4 acts as the oxidizing agent with an n-factor of 5, as the manganese atom is reduced from the +7 oxidation state to the +2 state. Conversely, FeSO4 acts as the reducing agent, with the iron atom undergoing oxidation from +2 to +3, which corresponds to an n-factor of 1.
The equivalence point can be expressed by the equation:
M1V1n1=M2V2n2
Substituting the given values, where M1 is the unknown molarity of KMnO4, both volumes are 10 mL, and the molarity of FeSO4 is 0.1 M, the equation becomes:
M1×10×5=0.1×10×1
Solving this yields a molarity of 0.02 M for the KMnO4 solution. To find the strength in g/L, this molarity is multiplied by the molar mass of KMnO4, calculated as 39 + 55 + 4(16) = 158 g/mol. Multiplying 0.02 mol/L by 158 g/mol results in 3.16 g/L, which is equivalent to 316×10−2 g/L.