Respuesta :

Answer: Option (a) is the correct answer.

Explanation:

The given reaction is as follows.

           [tex]CH_{4} + x(O_{2} + 3.76N_{2}) \rightarrow Products[/tex]

Since, it is a combustion reaction so, nitrogen will not take part in it and hence, it will remain the same on both sides of the reaction.

Also, it is known that in a combustion reaction oxygen reacts with a hydrocarbon and results in the formation of carbon dioxide and water. Therefore, for the above reaction we write the complete reaction equation as follows.

             [tex]CH_{4} + x(O_{2} + 3.76N_{2}) \rightarrow CO_{2} + H_{2}O + 3.76 N_{2}[/tex]

or,         [tex]CH_{4} + xO_{2} \rightarrow CO_{2} + H_{2}O[/tex] as nitrogen is not taking part in the reaction.

Number of atoms on reactant side are as follows.

C = 1

H = 4

O = 2

Number of atoms on product side are as follows.

C = 1

O = 3

H = 2

Therefore, to balance this equation we multiply oxygen on reactant side by 2. Also, we multiply water on product side by 2. Hence, the complete balanced chemical equation is as follows.

          [tex]CH_{4} + 2O_{2} \rightarrow CO_{2} + 2H_{2}O[/tex]