In freundlich adsorption isotherm, the value of `1//n` is

Options

A. (a) between 0 and 1 in all cases
B. (b) between 2 and 4 in all cases
C. (c) 1 in cases of physical adsorption
D. (d) 1 in case of chemisorption

Explanation

To solve the question regarding the value of \( \frac{1}{n} \) in the Freundlich adsorption isotherm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Freundlich Adsorption Isotherm**:
The Freundlich adsorption isotherm is represented by the equation:
\[ \frac{x}{m} = k P^{\frac{1}{n}} \]
where:
- \( x \) = mass of the gas adsorbed,
- \( m \) = mass of the adsorbent,
- \( P \) = pressure,
- \( k \) and \( n \) = constants.

2. **Identify the Role of \( n \)**:
The constant \( n \) in the Freundlich isotherm is related to the nature of the adsorbent and the adsorbate at a given temperature. It is important to note that \( n \) is always greater than 1.

3. **Determine the Value of \( \frac{1}{n} \)**:
Since \( n > 1 \), we can deduce that:
\[ \frac{1}{n} < 1 \]
This implies that \( \frac{1}{n} \) will always be a positive number but less than 1.

4. **Analyze the Options**:
- **Option A**: Between 0 and 1 (this is correct).
- **Option B**: Between 2 and 4 (this is incorrect).
- **Option C**: 1 in cases of physical adsorption (this is incorrect).
- **Option D**: 1 in cases of chemisorption (this is incorrect).

5. **Conclusion**:
The correct answer is **Option A**: the value of \( \frac{1}{n} \) is between 0 and 1 in all cases.