Step 1: Statement-I analysis.
Statement-I is correct. Henry's law constant, \( K_H \), remains constant as long as the solution remains dilute at a given temperature.
Step 2: Statement-II analysis.
Statement-II is incorrect. According to Henry’s Law, the partial pressure of a gas is directly proportional to its mole fraction in solution, not inversely.
Step 3: Conclusion.
Thus, Statement-I is correct and Statement-II is incorrect.
Final Answer:
\[
\boxed{\text{Statement-I is correct, Statement-II is incorrect}}
\]