Explanation:
According to the law of conservation of mass, a chemical reaction can only be balanced when the number reactants equal the number of products.
The reaction between molecular chlorine and fluorine is given as follows.
[tex]Cl_{2}(g) + 3F_{2}(g) \rightarrow 2Cl_{x}F_{y}(g)[/tex]
where, x = subscript of chlorine
y = subscript of fluorine
Number of atoms on reactant side are as follows.
Number of atoms on product side are as follows.
Therefore, to balance the given chemical equation, place the value of x as 1 and value of y as 3 on the product side.
Hence, the balanced chemical equation is as follows.
[tex]Cl_{2}(g) + 3F_{2}(g) \rightarrow 2ClF_{3}(g)[/tex]