Volume of $\mathrm{M} / 8 \mathrm{KMnO}_4$ solution required to react completely with $25.0 \mathrm{~cm}^3$…

Volume of $\mathrm{M} / 8 \mathrm{KMnO}_4$ solution required to react completely with $25.0 \mathrm{~cm}^3$ of $M / 4 \mathrm{FeSO}_4$ in acidic medium is.
  1. 8.0 mL
  2. 5.0 mL
  3. 15.0 mL
  4. 10.0 mL

Solution

The balance ionic equation for the reaction is $\mathrm{MnO}_4^{-}+5 \mathrm{Fe}^{2+}+8 \mathrm{H}^{+} \longrightarrow \mathrm{Mn}^{2+}+5 \mathrm{Fe}^{3+}+4 \mathrm{H}_2 \mathrm{O}$ From the above equation it is clear that 1 mole of $\mathrm{KMnO}_4=5$ moles of $\mathrm{FeSO}_4$. Apply molarity equation to balance the redox reaction $\begin{aligned} \frac{M_1 V_1}{n_1}\left(\mathrm{KMnO}_4\right) & =\frac{M_2 V_2}{n_2}\left(\mathrm{FeSO}_4\right) \\ \frac{1 \times V_1}{8 \times 1} & =\frac{1}{4} \times \frac{25}{5} \\ V_1 & =\frac{1 \times 25 \times 8}{4 \times 5} \\ V_1 & =10 \mathrm{~cm}^3 \text { or } V_1=10.0 \mathrm{~mL} \end{aligned}$

Asked in: BITSAT 2024 (Memory Based Paper 3)

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