Final answer:
Chemical equations for incomplete combustion cannot be conclusively written without additional information about reaction pathways. Typically, combustion results in CO₂ and H₂O, but with only CO and CO₂ as products, additional details are needed. The concepts of mole ratios, molar masses, and molecule-to-mole conversion are key to understanding this type of problem.
Step-by-step explanation:
The question involves writing a balanced chemical equation for the incomplete combustion of sucrose to produce CO and CO₂. Unfortunately, we cannot write a straightforward balanced chemical equation directly from the information provided because sucrose can decompose into a variety of products besides CO and CO₂ during incomplete combustion, and the exact reaction pathway is not specified. Generally, the combustion of sucrose (similar to the combustion of glucose) involves oxygen and would result in CO₂ and water (H₂O) as the primary products. A balanced chemical equation for the complete combustion of sucrose is C₁₂H₂₂O₁₁ + 12O₂ → 12CO₂ + 11 H₂O. However, for incomplete combustion, where only CO and CO₂ are considered as the products, the balanced reaction would be more complex, and additional information would be required to precisely identify the reactants and other products and to balance the equation correctly.
To approach a solution, we could consider the mass relationships given the masses of CO and CO₂ produced and the original mass of sucrose. By using the mole ratios and molar masses, we can establish a relationship between the reactants and the products but without exact stoichiometry, we cannot provide a conclusive balanced equation. Therefore, we can use the additional information from the examples provided and concepts like Avogadro's number for mole-to-molecule conversion, balancing chemical equations, and stoichiometry to provide an educational context for this complex problem.