MHT CET · Chemistry · Surface Chemistry
What is the value of intercept on y-axis when \(\log \frac{x}{m}\) is plotted against lop P in Freundlich isotherm?
- A \(\frac{1}{\mathrm{n}}\)
- B \(\log \mathrm{k}\)
- C \(\mathrm{n}\)
- D \(\mathrm{k}\)
Answer & Solution
Correct Answer
(B) \(\log \mathrm{k}\)
Step-by-step Solution
Detailed explanation
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 \(=\operatorname{logk}\)
\(
\text {Slope}=\frac{1}{\mathrm{n}}
\)
\(
\frac{\mathrm{x}}{\mathrm{m}}=\mathrm{kp}^{\frac{1}{\mathrm{n}}}
\)
Taking log,
\(
\begin{aligned}
& \log \frac{x}{m}=\log k+\frac{1}{n} \log P \\
& y=C+m x
\end{aligned}
\)
Intercept \(=\operatorname{logk}\)
\(
\text {Slope}=\frac{1}{\mathrm{n}}
\)
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