Surface Chemistry

Surface Chemistry

Question

For a linear plot of log (x/m) versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? (k and n are constants)

  • 1/n appears as the intercept.

  • Only 1/n appears as the slope.

  • log (1/n) appears as the intercept.

  • Both k and 1/n appear in the slope term

Answer

B.

Only 1/n appears as the slope.

According to Freundlich adsorption isotherm,
straight x over straight m space equals space kp to the power of 1 divided by straight n end exponent
On taking logarithm both sides, we get
log space straight x over straight m space equals space log space straight k space plus space log space straight p to the power of 1 divided by straight n end exponent
or
straight x over straight m space equals space log space straight k space plus space 1 over straight n space log space straight p

straight y space equals space log space straight x over straight m comma c= intercept = log k, m =slope = 1/n and x = log p

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