Step 1: Understand nature of H\(_2\)SO\(_4\).
Sulfuric acid is a strong mineral acid with low volatility and strong dehydrating nature. It is highly acidic in aqueous solution.
Step 2: Analyze statement I (volatility).
H\(_2\)SO\(_4\) is non-volatile due to strong intermolecular hydrogen bonding and high boiling point. Hence statement I is incorrect.
Step 3: Analyze statement II (reducing agent).
Concentrated H\(_2\)SO\(_4\) acts as an oxidizing agent, not reducing agent. Hence statement II is incorrect.
Step 4: Analyze statement III (acidic character).
It is a strong acid that completely dissociates in water (first dissociation). Hence statement III is correct.
Step 5: Analyze statement IV (affinity for water).
H\(_2\)SO\(_4\) has strong affinity for water due to hydration and exothermic dissolution, making it a strong dehydrating agent. Hence correct.
Step 6: Final conclusion.
Only statements III and IV are correct.
Final Answer:
\[
\boxed{\text{III, IV}}
\]