Answer
The balanced chemical equation for this reaction is:
$C_{12}H_{22}O_{11}(aq) + H_2O(l) \rightarrow 4 C_2H_5OH(aq) + 4 CO_2(g)$
Work Step by Step
Aqueous sucrose and liquid water are the reactants; aqueous ethyl alcohol and carbon dioxide gas are the products of this reaction. The unbalanced reaction is given as:
$C_{12}H_{22}O_{11}(aq) + H_2O(l) \rightarrow C_2H_5OH(aq) + CO_2(g)$
We balance this equation by first balancing the $O$ atoms, then $C$ atoms. The balanced chemical equation for the reaction then becomes:
$C_{12}H_{22}O_{11}(aq) + H_2O(l) \rightarrow 4 C_2H_5OH(aq) + 4 CO_2(g)$