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Statement I: The solubility of the gas in a liquid increases with increase of pressure. Statement II: The solubility of a gas in a liquid, expressed by mole fraction of gas in the liquid solution at equilibrium, is directly proportional to the pressure of the gas. |
If both statements are CORRECT, and Statement II is the CORRECT explanation of Statement I. If both statements are CORRECT, and Statement II is NOT the CORRECT explanation of Statement I. If Statement I is CORRECT, but Statement II is INCORRECT If Statement I is INCORRECT, but Statement II is CORRECT. |
If both statements are CORRECT, and Statement II is the CORRECT explanation of Statement I. |
The correct answer is option 1. If both statements are CORRECT, and Statement II is the CORRECT explanation of Statement I. Let us analyze each statement: Statement I: The solubility of the gas in a liquid increases with an increase in pressure. Henry's Law: This statement is in line with Henry's Law, which states that 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: \(C = kP\) where \( C \) is the concentration of the gas in the liquid, \( k \) is the Henry’s law constant, and \( P \) is the partial pressure of the gas. So, as pressure increases, the solubility of the gas in the liquid increases. This statement is correct. Statement II: The solubility of a gas in a liquid, expressed by the mole fraction of gas in the liquid solution at equilibrium, is directly proportional to the pressure of the gas. Mole Fraction and Pressure: The mole fraction of a gas in the liquid at equilibrium is indeed proportional to the pressure of the gas above the liquid, according to Henry's Law. The mole fraction (\( x \)) can be related to the partial pressure (\( P \)) of the gas by: \(x = \frac{P}{k}\) where \( x \) is the mole fraction of the gas in the liquid and \( k \) is a constant. This implies that as the pressure increases, the mole fraction of the gas in the liquid increases proportionally. This statement is also correct. Statement II as an Explanation: Since Statement II provides a direct relationship between the mole fraction of the gas and the pressure, it explains why the solubility of the gas in the liquid increases with pressure. It elaborates on the quantitative relationship that Statement I describes qualitatively. Conclusion Both statements are correct, and Statement II correctly explains Statement I. Therefore, the correct choice is: If both statements are CORRECT, and Statement II is the CORRECT explanation of Statement I. |
