Freundlich adsorption isotherm gives a straight line on plotting :

Options

A. x/m versus P
B. log x / m versus P
C. log x / m versus log
D. x / m versus 1 / P

Answer

To solve the question regarding the Freundlich adsorption isotherm and its graphical representation, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Freundlich Adsorption Isotherm**:
The Freundlich adsorption isotherm describes how the amount of gas adsorbed on a solid surface varies with pressure at a constant temperature. It is expressed mathematically as:
\[ x/m = k \cdot p^{1/n} \]
where \(x\) is the amount of adsorbate, \(m\) is the mass of the adsorbent, \(p\) is the pressure, \(k\) is a constant, and \(n\) is a parameter that indicates the adsorption intensity.

2. **Rearranging the Equation**:
To analyze this equation graphically, we take logarithms on both sides:
\[ \log(x/m) = \log(k) + \frac{1}{n} \log(p) \]
This can be rearranged to resemble the equation of a straight line:
\[ y = mx + c \]
where:
- \(y = \log(x/m)\)
- \(x = \log(p)\)
- \(m = \frac{1}{n}\) (slope)
- \(c = \log(k)\) (y-intercept)

3. **Identifying the Axes**:
From the rearranged equation, we can identify that if we plot \(\log(p)\) on the x-axis and \(\log(x/m)\) on the y-axis, the plot will yield a straight line.

4. **Conclusion**:
Therefore, the Freundlich adsorption isotherm gives a straight line when plotting \(\log(x/m)\) versus \(\log(p)\).

### Final Answer:
The Freundlich adsorption isotherm gives a straight line on plotting **log(x/m) versus log(p)**.