- Sodium in liquid ammonia is typically used to initiate the polymerization of compounds that are capable of forming free radicals. The polymerization of nitriles, such as acrylonitrile (C\(_3\)H\(_3\)N), is commonly initiated in liquid ammonia, and the monomer with the nitrile group (CN) is the correct choice.
- The other compounds (option 2, 3, and 4) are either not suitable for polymerization in this condition or are not typical monomers used in this process.
Thus, the correct answer is (1) CN.