What is the value of intercept on y-axis when $\log \frac{x}{m}$ is plotted against lop P in Freundlich…

What is the value of intercept on y-axis when $\log \frac{x}{m}$ is plotted against lop P in Freundlich isotherm?
  1. $\frac{1}{\mathrm{n}}$
  2. $\log \mathrm{k}$
  3. $\mathrm{n}$
  4. $\mathrm{k}$

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 $=\operatorname{logk}$ $\text { Slope }=\frac{1}{\mathrm{n}}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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