Let's examine the given reactions to identify which one represents the combustion of [tex]\(C_6H_{12}O_2\)[/tex].
1. [tex]\(C_6H_{12}O_2(l) + 8 O_2(g) \rightarrow 6 CO_2(g) + 6 H_2O(g)\)[/tex]
- This equation involves [tex]\(C_6H_{12}O_2\)[/tex] reacting with oxygen ([tex]\(O_2\)[/tex]) and producing carbon dioxide ([tex]\(CO_2\)[/tex]) and water ([tex]\(H_2O\)[/tex]), which indicates a combustion reaction. In a combustion reaction, a compound typically reacts with oxygen to produce carbon dioxide and water.
2. [tex]\(Mg(s) + C_6H_{12}O_2(l) \rightarrow MgC_6H_{12}O_2(aq)\)[/tex]
- This reaction involves magnesium ([tex]\(Mg\)[/tex]) combining with [tex]\(C_6H_{12}O_2\)[/tex] to form a magnesium compound. This is not a combustion reaction. Combustion requires the presence of oxygen and produces [tex]\(CO_2\)[/tex] and [tex]\(H_2O\)[/tex].
3. [tex]\(6 C(s) + 6 H_2(g) + O_2(g) \rightarrow C_6H_{12}O_2(l)\)[/tex]
- This reaction represents a synthesis reaction, where multiple elements combine to form a single compound. This is not a combustion reaction.
4. [tex]\(C_6H_{12}O_2(l) \rightarrow 6 C(s) + 6 H_2(g) + O_2(g)\)[/tex]
- This reaction depicts the decomposition of [tex]\(C_6H_{12}O_2\)[/tex] into its elemental constituents. This is also not a combustion reaction.
Based on the descriptions above, the reaction that represents the combustion of [tex]\(C_6H_{12}O_2\)[/tex] is:
[tex]\[ C_6H_{12}O_2(l) + 8 O_2(g) \rightarrow 6 CO_2(g) + 6 H_2O(g) \][/tex]
