Step 1: Understanding Autocatalysis in KMnO\(_4\) Titration
An autocatalyst is a product of a reaction that enhances its own rate as it forms. In the titration of potassium permanganate (\( KMnO_4 \)) with oxalic acid (\( H_2C_2O_4 \)) in acidic medium, the reaction initially proceeds slowly. However, as the reaction progresses, the formation of Mn\(^{2+}\) ions significantly increases the reaction rate.
Step 2: Role of MnSO\(_4\)
During the reaction:
\[
2MnO_4^- + 5C_2O_4^{2-} + 16H^+ \longrightarrow 2Mn^{2+} + 10CO_2 + 8H_2O
\]
- The Mn\(^{2+}\) ions (present in MnSO\(_4\)) act as a catalyst, accelerating the reaction.
- Initially, the reaction is slow, but as Mn\(^{2+}\) ions accumulate, they enhance the rate, exhibiting autocatalytic behavior.
Conclusion
Thus, the correct answer is:
\[
MnSO_4
\]