Step 1: Understanding the Concept
The nature of a salt solution depends on the strengths of the parent acid and base.
Step 2: Check the Options
\(\text{NH}_4\text{NO}_3\) and \(\text{NH}_4\text{Cl}\) come from a weak base and strong acids, so they are acidic.
\(\text{Na}_2\text{SO}_4\) comes from a strong base and strong acid, so it is neutral.
Step 3: Basic Salt
\(\text{Na}_2\text{CO}_3\) comes from \(\text{NaOH}\) (strong base) and \(\text{H}_2\text{CO}_3\) (weak acid).
\(\text{CO}_3^{2-} + \text{H}_2\text{O} \rightleftharpoons \text{HCO}_3^{-} + \text{OH}^{-}\)
The \(\text{OH}^{-}\) ions make the solution basic.
Final Answer:
Sodium carbonate forms a basic solution.
\[ \boxed{\text{(C) }\text{Na}_2\text{CO}_3} \]