Answer:
C.
[tex]\quad 2\text{AgNO}_3 + \text{Cu} \rightarrow 2\text{Ag} + \text{Cu(NO}_3)_2[/tex]
Explanation:
A single-replacement reaction occurs when one element replaces another element in a compound through a reaction. One easy way to identify single-replacement reactions are if there is a compound reacting with just a single element. Each of these reactions represent different types of reactions so let's go through each option.
[tex]A. $CaCl_{2} + Na_{2}CO_{3} \rightarrow CaCO_{3} + 2NaCl$: \\This is a double-replacement reaction because two compounds switch partners.\\ B. $H_{2} + Cl_{2} \rightarrow 2HCl$: \\A synthesis reaction where two elements combine to form a compound. \\\\[/tex]
[tex]\fbox{\begin{minipage}{0.9\textwidth}C. \quad $2AgNO_{3} + Cu \rightarrow 2Ag + Cu(NO_{3})_{2}$: \\This is a single-replacement reaction because copper (Cu) replaces silver (Ag) in the compound AgNO_3.\end{minipage}}[/tex]
[tex]D. ~$CH_{4} + 2O_{2} \rightarrow CO_{2} + 2H_{2}O$: \\This is a combustion reaction where a compound reacts with oxygen to produce carbon dioxide and water.[/tex]
Therefore, C is the correct option
