Estimate the value $x$ to balance the given equation.

$M g_{3} N_{2} (a q) + x H_{2} O (l) \to 3 M g (O H)_{2} (a q) + 2 N H_{3} (g)$
6

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Solution

The correct option is A 6
A balanced chemical equation has an equal number of atoms on both the sides of a chemical reaction.

For the given equation: $M g_{3} N_{2} (a q) + x H_{2} O (l) \to 3 M g (O H)_{2} (a q) + 2 N H_{3} (g)$
Reactants Products

Elements No. of atoms Elements No. of atoms

Mg 3 Mg 3

N 2 N 2

H 2 H 12

O 1 O 6

Here, Mg and N atoms are balanced at both sides. To balance H and O atoms, the value of $x$ should be 6.

Hence, the balanced equation is:
$M g_{3} N_{2} (a q) + 6 H_{2} O (l) \to 3 M g (O H)_{2} (a q) + 2 N H_{3} (g)$

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