Q13 / 150 · MHT CET 2021 (23 Sep Shift 2) · Chemistry
What is the value of intercept on y-axis when $\log \frac{x}{m}$ is plotted against lop P in Freundlich isotherm?
- A$\frac{1}{\mathrm{n}}$
- Correct answerB$\log \mathrm{k}$
- C$\mathrm{n}$
- D$\mathrm{k}$
Solution
Freundlich isotherm,
$$
\frac{\mathrm{x}}{\mathrm{m}}=\mathrm{kp}^{\frac{1}{\mathrm{n}}}
$$
Taking log,
$$
\begin{aligned}
& \log \frac{x}{m}=\log k+\frac{1}{n} \log P \\
& y=C+m x
\end{aligned}
$$
Intercept $=\operatorname{logk}$
$$
\text { Slope }=\frac{1}{\mathrm{n}}
$$
Hence, the correct answer is option: 'B'.