ANSWER
[tex]\begin{gathered} \text{ The balanced equation is } \\ \text{ C}_5H_{12(l)}\text{ }+\text{ 8CO}_{2(g)}\text{ }\rightarrow\text{ 5CO}_{2(g)}\text{ }+\text{ 6H}_2O_{(l)} \end{gathered}[/tex]EXPLANATION
When an organic compound is burns in air, the type of reaction is called a combustion reaction.
The major products formed when an organic compound undergoes a combustion reaction are carbon dioxide and water.
To write a balanced equation for the reaction, follow the steps below
The combustion formula is written below as
[tex]\text{ C}_xH_y\text{ + x }+\frac{y}{4}O_2\rightarrow xCO_2\text{ + }\frac{y}{2}H_2O[/tex]The compound given is pentane because it has 5 carbon atoms
[tex]\begin{gathered} \text{ C}_5H_{12}\text{ }+\text{ 5}+\frac{12}{4}O_2\text{ }\rightarrow\text{ 5CO}_2\text{ }+\text{ 6H}_2O \\ \\ \text{ C}_5H_{12(l)}\text{ }+\text{ 8CO}_{2(g)\text{ }}\text{ }\rightarrow\text{ 5CO}_{2(g)}\text{ }+\text{ 6H}_2O(l) \end{gathered}[/tex]