Question

Given below are two statements:
Statement I: The Henry’s law constant \( K_H \) is constant with respect to variations in solution concentration over the range for which the solution is ideally dilute.
Statement II: \( K_H \) does not differ for the same solute in different solvents.
In the light of the above statements, choose the correct answer from the options given below.

• A. Both Statement I and Statement II are false
• B. Statement I is false but Statement II is true
• C. Both Statement I and Statement II are true
• D. Statement I is true but Statement II is false

Hint:

Henry’s law is valid only for dilute solutions, and the constant \( K_H \) depends on the nature of both solute and solvent.

Answer 1

The Correct Option is C

To analyze the given statements about Henry's Law, we need to understand the law itself and how the constant \( K_H \) behaves in different scenarios.

Statement I: The Henry’s law constant \( K_H \) is constant with respect to variations in solution concentration over the range for which the solution is ideally dilute.

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 above the liquid. Mathematically, this can be expressed as:

\(C = K_H \cdot P\)

Here, \( C \) is the concentration of the gas, \( P \) is the partial pressure, and \( K_H \) is the Henry’s law constant. Within the range of an ideally dilute solution, \( K_H \) remains constant regardless of changes in the concentration of the solute, validating the statement.

Statement II: \( K_H \) does not differ for the same solute in different solvents.

This statement is incorrect. The value of Henry's law constant \( K_H \) typically varies with the type of solvent. Different solvents have various intermolecular forces and properties, which affects how gases dissolve into them, thus altering the value of \( K_H \) for the same gas.

Reviewing both statements and applying our conceptual understanding of Henry's Law:

• Statement I is true because \( K_H \) remains constant in ideally dilute solutions irrespective of concentration changes.
• Statement II is false because \( K_H \) usually varies for a given gas in different solvents.

Thus, the correct answer is Statement I is true but Statement II is false. However, there seems to be a discrepancy since the provided solution claims Both Statement I and Statement II are true. This points to a potential error in the provided answer, as conceptually explained.