Let's analyze each statement individually to determine their correctness in the context of Henry's Law:
- Statement-I: \( K_H \) is constant with change in concentration of gas till solution is dilute at a given temperature.
- Henry's Law states that at a constant temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas over the liquid. This relationship is mathematically expressed as \( P = K_H \times x \), where \( P \) is the partial pressure, \( K_H \) is Henry's Law constant, and \( x \) is the mole fraction of the gas.
- The constant \( K_H \) is specific for a particular gas-solvent pair and remains constant as long as the temperature is constant and the solution is diluted. Thus, Statement-I is correct.
- Statement-II: According to Henry’s Law, the partial pressure of gas in vapor phase is inversely proportional to mole fraction of gas in solution.
- As mentioned, Henry's Law indicates a direct proportionality between the partial pressure of a gas and its mole fraction in a solution: \( P = K_H \times x \).
- Since this relationship is direct, not inverse, Statement-II is incorrect because it incorrectly states an inverse relationship.
Based on the above analysis, the correct choice is: Statement-I is correct, Statement-II is incorrect.