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Oxidation Number Method

Balance the f...

Question

Balance the following equations by oxidation number method:
$M g + {H N O}_{3} (a q) ⟶ M g ({N O}_{3})_{2} + N_{2} O (g) + H_{2} O (l)$

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Solution

Oxidation: $M g ⟶ M g^{2 +} (N O_{3})_{2} + 2 e^{-} . . . . . (1)$
Reduction: $+ 1 2 H + 5 N {O_{3}}^{- 2} + 8 e^{-} ⟶ {+ 1 N}_{2} O . . . . . (2)$

Balancing $(1)$ ,
$M g + 2 H N O_{3} ⟶ M g (N O_{3})_{2} + 2 H^{+} + 2 e^{-} . . . . . (3)$
Balancing $(2)$ ,
$2 H N O_{3} + 8 e^{-} + 8 H^{+} ⟶ N_{2} O + 5 H_{2} O . . . . . (4)$
Multiplying $(3)$ by $4$ & adding with $(4)$
$4 M g + 10 H N O_{3} ⟶ 4 M g (N O_{3})_{2} + N_{2} O + 5 H_{2} O$
This is the balanced equation.

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