For the Freundlich adsorption isotherm, a plot of against gives a straight line making an angle of w — Surface Chemistry Chemistry Question

💡 Solution & Explanation

The logarithmic form of the Freundlich equation is $\log(x/m) = \log k + \frac{1}{n}\log p$. The slope of the plot is $\frac{1}{n} = \tan(45^\circ) = 1$. The intercept is $\log k = 0.6020$. Since $\log 2 = 0.3010$, $\log 4 = 2 \times 0.3010 = 0.6020$, which implies $k = 4$. Using the isotherm equation $\frac{x}{m} = k p^{1/n}$, substitute the values: $\frac{x}{m} = 4 \times (2.5)^1 = 10\text{ g}$.