A chemical reaction that has the general formula of [tex]$A B + C \rightarrow C B + A$[/tex] is best classified as a single replacement reaction.
Here's a detailed breakdown:
1. Understand the Reaction Formula: The general formula given is [tex]$A B + C \rightarrow C B + A$[/tex]. This indicates that a compound [tex]\(AB\)[/tex] is reacting with a single element [tex]\(C\)[/tex].
2. Identify the Changes: In the reaction, element [tex]\(C\)[/tex] replaces element [tex]\(A\)[/tex] in the compound [tex]\(AB\)[/tex]. As a result, compound [tex]\(CB\)[/tex] is formed, and element [tex]\(A\)[/tex] is released separately.
3. Type of Reaction: When one element replaces another element in a compound, the type of chemical reaction is known as a single replacement reaction (also called a single displacement reaction).
4. Conclusion: Therefore, the reaction in question, with the general formula [tex]\(A B + C \rightarrow C B + A\)[/tex], is classified as a single replacement reaction.