In Kolbe electrolysis, the reaction involves the breaking of a carboxylate ion, followed by the production of the alkane. The process involves the formation of two molecules of hydrocarbons at the anode as a result of two electrons being released per molecule. In this case, sodium propanoate undergoes electrolysis to form butane at the anode and hydrogen at the cathode.
Hence, the product at the anode is the alkane (butane), and the product at the cathode is hydrogen gas.
Thus, the correct products are:
- \( X = \text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_3 \) at Anode
- \( Y = \text{H}_2 \) at Cathode
The correct option is \( \boxed{3} \).