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Balance the equation, 

Mg(aq) + HNO3(aq) → Mg(NO3)2(aq) + N2O(g) + H2O(l)

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Find out the elements which undergo a change in oxidation number (O.N.) 

O.N. increases by 2 per Mg atom

Here, O.N. of Mg increases from 0 in Mg metal to +2 in Mg(NO3)2 and that of N decreases from +5 in HNO3 to +1 in N2O.

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