Exemplar Problems

Problem 2 : Balance the following redox equation occurring in basic solution:

$$[NO_2^- + Al \rightarrow NH_3 + Al(OH)_4^-]$$

Solution :

To balance this equation in basic solution, follow these steps:

Step 1: Assign oxidation states to each element: $$[NO_2^- : N^{3+},]$$ $$[Al : Al^{3-},]$$ $$[NH_3 : N^{-3},]$$ $$[Al(OH)_4^- : Al^{3-}.]$$

Step 2: Write down the unbalanced equation: $$[NO_2^- + Al \rightarrow NH_3 + Al(OH)_4^-.]$$

Step 3: Break the reaction into half-reactions for oxidation and reduction: $$[Oxidation: Al \rightarrow Al(OH)_4^-,]$$ $$[Reduction: NO_2^- \rightarrow NH_3.]$$

Step 4: Balance each half-reaction: Oxidation: $$[Al \rightarrow Al(OH)_4^-]$$ Add 3 electrons (e⁻) to the right side to balance the charge.

Reduction: $$[NO_2^- \rightarrow NH_3]$$ Add 4 electrons (e⁻) to the left side to balance the charge.

Step 5: Multiply the half-reactions by coefficients to balance the number of electrons: $$[4(Al \rightarrow Al(OH)_4^-)]$$ $$[3(NO_2^- \rightarrow NH_3)]$$

Step 6: Add the balanced half-reactions to get the overall balanced equation: $$[4Al + 12OH^- + 3NO_2^- \rightarrow 4Al(OH)_4^- + 3NH_3.]$$



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