Given below are two statements: Statement I: Methane can be...

Statement I is false because Kolbe's electrolysis of sodium acetate produces ethane, not methane. The reaction is: $2\text{CH}_3\text{COONa} + 2\text{H}_2\text{O} \xrightarrow{\text{Electrolysis}} \text{CH}_3-\text{CH}_3 + 2\text{CO}_2 + \text{H}_2 + 2\text{NaOH}$. Decarboxylation of sodium ethanoate and the reaction of $\text{CH}_3\text{MgBr}$ with water do produce methane.

Statement II is true because the simplest unsaturated hydrocarbon is ethene ($\text{C}_2\text{H}_4$), which upon hydrogenation yields ethane, meaning methane cannot be prepared from unsaturated hydrocarbons. Additionally, the Wurtz reaction involves the coupling of two alkyl halide molecules to form an alkane with at least two carbon atoms ($2\text{RX} + 2\text{Na} \rightarrow \text{R}-\text{R} + 2\text{NaX}$), so methane cannot be prepared by this method.

Therefore, Statement I is false but Statement II is true.

Answer: Statement I is false but Statement II is true