Answer: A is single displacement reaction, B is double displacement reaction and C is decomposition reaction.
Explanation:
Synthesis reaction is defined as the reaction where substances combine in their elemental state to form a single compound.
\(A+B\rightarrow AB\)
Decomposition reaction is defined as the reaction where a single substance breaks down into two or more simpler substances.
\(AB\rightarrow A+B\)
Single displacement reaction is defined as the reaction where more reactive element displaces a less reactive element from its chemical reaction.
\(AB+C\rightarrow CB+A\)
Element C is more reactive than element A.
Double displacement reaction is defined as the reaction where exchange of ions takes place.
\(AB+CD\rightarrow AD+CB\)
Combustion reaction is defined as the reaction where a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water molecule.
\(\text{hydrocarbon}+O_2\rightarrow CO_2+H_2O\)
For the given options:
Option A:
\(Pb(s)+Hg_2SO_4(s)\rightarrow PbSO_4(s)+2Hg(l)\)
This is considered as a single displacement reaction because lead is more reactive than mercury.
Option B:
\(NaCl(aq.)+ AgNO_3(aq.)\rightarrow AgCl(s)+NaNO_3(aq.)\)
This is considered as a double displacement reaction.
Option C:
\(2H2O(l)\rightarrow 2H_2(g)+O_2(g)\)
This is considered as a decomposition reaction.
Hence, A is single displacement reaction, B is double displacement reaction and C is decomposition reaction.