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Which of the following relations is(are)...

Which of the following relations is(are) correct according to Freundlich?
(P)x/m = constant ,
(Q) x/m = constant `xxp^(1//n)(ngt1),`
(S) x/m = constant `xxp^(n)(ngt1)`

A

All are correct

B

All are wrong

C

(ii) is correct

D

(iii) is correct

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given relations are correct according to the Freundlich adsorption isotherm, we need to analyze each option based on the Freundlich equation. ### Step-by-Step Solution: 1. **Understanding the Freundlich Adsorption Isotherm**: The Freundlich adsorption isotherm is represented by the equation: \[ \frac{x}{m} = k \cdot p^{\frac{1}{n}} \] where: - \( x \) = mass of adsorbate - \( m \) = mass of adsorbent - \( p \) = pressure of the adsorbate - \( k \) = constant - \( n \) = constant (with \( n > 1 \)) 2. **Analyzing Option (P)**: The relation given is: \[ \frac{x}{m} = \text{constant} \] This implies that the extent of adsorption is independent of pressure, which contradicts the Freundlich isotherm. Therefore, this option is **incorrect**. 3. **Analyzing Option (Q)**: The relation given is: \[ \frac{x}{m} = \text{constant} \cdot p^{\frac{1}{n}} \quad (n > 1) \] This is consistent with the Freundlich equation, as it shows that the extent of adsorption is directly proportional to the pressure raised to the power of \( \frac{1}{n} \). Therefore, this option is **correct**. 4. **Analyzing Option (S)**: The relation given is: \[ \frac{x}{m} = \text{constant} \cdot p^{n} \quad (n > 1) \] According to the Freundlich isotherm, the power of \( p \) should be \( \frac{1}{n} \), not \( n \). Therefore, this option is **incorrect**. 5. **Conclusion**: Based on the analysis: - Option (P) is incorrect. - Option (Q) is correct. - Option (S) is incorrect. Thus, the only correct relation according to the Freundlich adsorption isotherm is **Option (Q)**. ### Summary of Correctness: - **(P)**: Incorrect - **(Q)**: Correct - **(S)**: Incorrect
To determine which of the given relations are correct according to the Freundlich adsorption isotherm, we need to analyze each option based on the Freundlich equation. ### Step-by-Step Solution: 1. **Understanding the Freundlich Adsorption Isotherm**: The Freundlich adsorption isotherm is represented by the equation: \[ \frac{x}{m} = k \cdot p^{\frac{1}{n}} ...
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