Haloalkanes and HaloareneshardNUMERICAL

In the direct iodination of benzene, periodic acid () can be utilized as the designated oxidizing agHaloalkanes and Haloarenes Chemistry Question

Question

In the direct iodination of benzene, periodic acid ($HIO_4$) can be utilized as the designated oxidizing agent to continuously consume the $HI$ byproduct and regenerate elemental iodine. Based strictly on redox stoichiometry, how many exact moles of $HI$ are oxidized by exactly $1$ mole of $HIO_4$?

Answer: 7

💡 Solution & Explanation

We must balance the redox reaction between periodic acid and hydrogen iodide. In $HIO_4$, iodine is in the $+7$ oxidation state. In $HI$, iodine is in the $-1$ oxidation state. The goal is to produce elemental iodine ($I_2$), where iodine is at an oxidation state of $0$. The reduction half-reaction for the oxidizer is: $HIO_4 + 7H^+ + 7e^- \rightarrow \frac{1}{2}I_2 + 4H_2O$. The oxidation half-reaction for $HI$ is: $HI \rightarrow \frac{1}{2}I_2 + H^+ + e^-$. To balance the $7e^-$ required by one molecule of $HIO_4$, we must multiply the $HI$ half-reaction by $7$. Therefore, exactly $7$ moles of $HI$ are consumed per mole of $HIO_4$ ($HIO_4 + 7HI \rightarrow 4I_2 + 4H_2O$).

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