Write the balanced chemical equation:

Carbon dioxide passed through lime water gives white turbidity due to the formation of Calcium carbonate.

Balanced chemical equation:

A chemical equation in which the number of atoms of each element on both sides of the equation is equal is called a balanced chemical equation.

Step: 1: Representation of the chemical equation:

1. When carbon dioxide is passed through water, it gives calcium carbonate and water.
2. The chemical reaction can be written as:

$\underset{\mathrm{Lime}\mathrm{water}}{\mathrm{Ca}{\left(\mathrm{OH}\right)}_2\left(\mathrm{aq}\right)}+\underset{\mathrm{Carbon}\mathrm{dioxide}}{{\mathrm{CO}}_2\left(\mathrm{g}\right)}\to \underset{\mathrm{Calcium}\mathrm{carbonate}}{{\mathrm{CaCO}}_3\left(\mathrm{s}\right)}\left(\mathrm{s}\right)+\underset{\mathrm{Water}}{{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)}$

Step: 2: Calculating the number of atoms on both the sides of the reaction:

Elements	Number of atoms on the reactant side	Number of atoms on the product side
Ca	1	1
O	4	4
H	2	2
C	1	1

We can see that the equation is already balanced.

The balanced equation is :

$\underset{\mathrm{Lime}\mathrm{water}}{\mathrm{Ca}{\left(\mathrm{OH}\right)}_2\left(\mathrm{aq}\right)}+\underset{\mathrm{Carbon}\mathrm{dioxide}}{{\mathrm{CO}}_2\left(\mathrm{g}\right)}\to \underset{\mathrm{Calcium}\mathrm{carbonate}}{{\mathrm{CaCO}}_3\left(\mathrm{s}\right)}+\underset{\mathrm{Water}}{{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)}$