To determine the type of reaction given as:
[tex]\[ \text{C}_5\text{H}_{12}(g) + 5 \text{O}_2(g) \rightarrow 5 \text{CO}_2(g) + 6 \text{H}_2\text{O}(g) \][/tex]
we should follow these steps:
1. Identify the Reactants and Products:
- The reactants are [tex]\( \text{C}_5\text{H}_{12} \)[/tex] (a hydrocarbon) and [tex]\( \text{O}_2 \)[/tex] (oxygen gas).
- The products are [tex]\( \text{CO}_2 \)[/tex] (carbon dioxide) and [tex]\( \text{H}_2\text{O} \)[/tex] (water).
2. Classify the Reactants:
- [tex]\( \text{C}_5\text{H}_{12} \)[/tex] is a hydrocarbon, which often participates in combustion reactions.
- [tex]\( \text{O}_2 \)[/tex] is oxygen, which is a common reactant in combustion reactions.
3. Examine the Reaction Characteristics:
- In combustion reactions, a hydrocarbon reacts with oxygen to produce carbon dioxide and water.
- This reaction perfectly fits the typical combustion reaction pattern: hydrocarbon + oxygen → carbon dioxide + water.
4. Match with Reaction Types:
- A. Combustion: It matches the pattern described above, wherein a hydrocarbon reacts with oxygen to form [tex]\( \text{CO}_2 \)[/tex] and [tex]\( \text{H}_2\text{O} \)[/tex].
- B. Precipitation: This type involves the formation of a solid from two aqueous solutions. The given reaction does not fit this pattern.
- C. Neutralization: This type involves an acid reacting with a base to form water and salt. The given reaction does not involve an acid or a base.
- D. Decomposition: This type involves breaking down a compound into simpler substances. The given reaction does not involve a single compound breaking down.
Considering all the above points, the correct type of reaction for the given equation is:
[tex]\[ \boxed{\text{Combustion}} \][/tex]
Therefore, the answer is:
[tex]\[ A. \text{Combustion} \][/tex]
