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Assertion (A): Henry's law and Raoult's ...

Assertion (A): Henry's law and Raoult's law are not independent, i.e., one can be derived from the other.
Reason (R ): The partial pressure is directly proportional to the mole fraction of the concerned species for ideal solutions.

A

If both `(A)` and `(R )` are correct, and `(R )` is the correct explanation of `(A)`.

B

If both `(A)` and `(R )` are correct, but `(R )` is not the correct explanation of `(A)`.

C

If `(A)` is correct, but `(R )` is incorrect.

D

If `(A)` is correct, but `(R )` is correct.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze the Assertion (A) and Reason (R) provided. ### Step-by-Step Solution: 1. **Understanding Assertion (A)**: - The assertion states that "Henry's law and Raoult's law are not independent; one can be derived from the other." - Henry's law describes the relationship between the pressure of a gas above a liquid and the concentration of that gas in the liquid. It is generally expressed as: \[ P = k_H \cdot X_A \] where \( P \) is the partial pressure of the gas, \( k_H \) is Henry's law constant, and \( X_A \) is the mole fraction of the gas in the solution. - Raoult's law states that the partial vapor pressure of each component in an ideal solution is equal to the vapor pressure of the pure component multiplied by its mole fraction in the solution: \[ P_A = P^0_A \cdot X_A \] where \( P_A \) is the partial pressure of component A, \( P^0_A \) is the vapor pressure of the pure component A, and \( X_A \) is the mole fraction of A in the solution. 2. **Understanding Reason (R)**: - The reason states that "The partial pressure is directly proportional to the mole fraction of the concerned species for ideal solutions." - This is indeed true for both Henry's law and Raoult's law. In ideal solutions, the partial pressure of a component is directly proportional to its mole fraction. 3. **Analyzing the Relationship**: - Both laws involve the concept of partial pressure being proportional to the mole fraction. - Henry's law can be seen as a specific case of Raoult's law when dealing with dilute solutions of gases in liquids. - Therefore, the assertion that Henry's law and Raoult's law are not independent is correct. 4. **Conclusion**: - Both the assertion (A) and the reason (R) are correct. - However, while the reason supports the assertion, it does not fully explain why they are not independent. The reason focuses on the proportionality in ideal solutions, which is a characteristic of both laws but does not clarify their interdependence. ### Final Answer: Both Assertion (A) and Reason (R) are correct, but Reason (R) is not the correct explanation of Assertion (A). ### Options: - The correct option is: **Both A and R are correct, but R is not the correct explanation of A.**

To solve the given question, we need to analyze the Assertion (A) and Reason (R) provided. ### Step-by-Step Solution: 1. **Understanding Assertion (A)**: - The assertion states that "Henry's law and Raoult's law are not independent; one can be derived from the other." - Henry's law describes the relationship between the pressure of a gas above a liquid and the concentration of that gas in the liquid. It is generally expressed as: \[ ...
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