Module 8 : Surface Chemistry
Lecture 37 : Surface Characterization Techniques
37.2

Classical Methods:

 

(b) BET equation

 

Example 37.2 : The data given below are for the adsorption of nitrogen on alumina at 77.3 K. Show that they fit in a BET isotherm in the range of adsorption and find Vmono and hence surface area of alumina (m2/g). At 77.3 K, saturation pressure, P* = 733.59 torr. The volumes are corrected to STP and refer to 1g of alumina.

 

 P/ (torr)

 37.67
 74.20
 114.54
 142.0
 185.34
 V (cm3/g: STP)
 23.14
 28.1
 33.1
 36.35
 41.49
 

Solution:

 
 

From the above data, we have

 

 10 Z = 10(P/P*)

 0.51  1.01  1.56  1.94  2.53
 x = 103Z/(1-Z) (V/cm3)  2.32  3.99  5.58  6.62  8.16
 

From BET equation ,

 
 

A plot of z/(1-z) against z will give a straight line with intercept z = 0 as equal to and slope will be

 

Intercept of the plot is 0.987 10-3 cm-3 where as slope = 2.88 10-2 cm-3

  Intercept = = 0.987 10-3 cm-3 = 9.87 10-4 cm-3