Answer: The balanced equation for the given reaction is
[tex]2SO_{2}(g) + O_{2}(g) \rightarrow 2SO_{3}(g)[/tex].
Explanation:
A chemical equation which contains same number of atoms on both reactant and product side.
For example, [tex]SO_{2}(g) + O_{2}(g) \rightarrow SO_{3}(g)[/tex]
Here, number of atoms on reactant side are as follows.
Number of atoms on product side are as follows.
To balance this equation, multiply [tex]SO_{2}[/tex] by 2 on reactant side and multiply [tex]SO_{3}[/tex] by 2. Hence, the equation will be re-written as follows.
[tex]2SO_{2}(g) + O_{2}(g) \rightarrow 2SO_{3}(g)[/tex]
Here, number of atoms on reactant side are as follows.
Number of atoms on product side are as follows.
Now, there are same number of atoms on both reactant and product side. So, this equation is balanced.
Thus, we can conclude that the balanced equation for the given reaction is [tex]2SO_{2}(g) + O_{2}(g) \rightarrow 2SO_{3}(g)[/tex].