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Graph of Adsorption Isotherm
                400
                350
                300
   Vads cm³/g




                250
                200
                150
                100
                 50
                  0
                      0     0.2         0.4             0.6          0.8            1
                                      Relative Pressure (P/Po)




The adsorption isotherm graph was plotted based on the data we get. From the graph,
it shows type II adsorption isotherm that representing the multilayer adsorption.
Rounded knee indicates approximate location of monolayer formation.
Low slope region in middle of isotherm indicates first few multilayers.
BET Surface Area
BET surface area analysis is a technique used to determine the specific surface area of
a material. Model of adsorption extended to multilayers.


BET equation:

                     V                       C ( P P0 )
                     Vm        (1 P P0 )(1 P P0 C ( P P0 )

Or it’s linearized form:
                                1                1   C    1   P
                         V [( P0 P ) 1]     VmC      VmC      P0


By comparing with                         y = mx+C
y- axis = 1/[V (Po/P)-1]
x-axis = P/Po

m (slope/gradient) =

C (intercept) =

Then, graph of 1/[V (Po/P)-1] versus P/Po is plotted.



                                                           BET Graph
                     0.008
                     0.007                                                          y = 0.022x + 4E-05
                     0.006
   1/[V(Po/P - 1)]




                     0.005
                     0.004
                     0.003
                     0.002
                     0.001
                           0
                               0          0.05       0.1           0.15       0.2        0.25            0.3   0.35
                                                              Relative Pressure (P/Po)
By using Microsoft Excel, we obtain a linear equation    y = 0.0229x + 4×10-5.

Slope =       = 0.0229         (Equation 1)

Intercept =       = 4×10-5      (Equation 2)

By solving equation 1 and 2,
C = 573.5
Vm = 43.59 ml/g


The specific surface area is equal to monolayer capacity x Avogadro’s constant x cross
section of adsorbed molecule, that is Sm = nm × Am × N
Sm = nm × Am × N

nm =               = 0.00195 mol/g

Sm = nm × Am × N
Sm = 0.00195 mol/g × (16.2 ×10 -20 m2) × (6.023 x 1023 mol-1)
Sm = 190.2 m2/g
Langmuir Model



Vads =


Or it’s linearized form,




By comparing with      y = mx+C
y- axis = p/Vad
x-axis = p

m (slope/gradient) =

C (intercept) =

Then, graph of p/Vad versus p is plotted.



                                Langmuir Graph
           4.5
             4                                         y = 0.016x + 0.209
           3.5
             3
   P/Vad




           2.5
             2
           1.5
             1
           0.5
             0
                 0         50          100       150           200          250
                                             P
By using Microsoft Excel, we obtain a linear equation    y = 0.0166x + 0.2094

Slope =       = 0.0166         (Equation 1)

Intercept =      = 0.2094       (Equation 2)

By solving equation 1,
Vm = 60.2 ml/g


The specific surface area is equal to monolayer capacity x Avogadro’s constant x cross
section of adsorbed molecule, that is Sm = nm × Am × N
Sm = nm × Am × N

nm =               = 0.00269 mol/g

Sm = nm × Am × N
Sm = 0.00269 mol/g × (16.2 ×10 -20 m2) × (6.023 x 1023 mol-1)
Sm =262.3 m2/g

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Bet

  • 1. Graph of Adsorption Isotherm 400 350 300 Vads cm³/g 250 200 150 100 50 0 0 0.2 0.4 0.6 0.8 1 Relative Pressure (P/Po) The adsorption isotherm graph was plotted based on the data we get. From the graph, it shows type II adsorption isotherm that representing the multilayer adsorption. Rounded knee indicates approximate location of monolayer formation. Low slope region in middle of isotherm indicates first few multilayers.
  • 2. BET Surface Area BET surface area analysis is a technique used to determine the specific surface area of a material. Model of adsorption extended to multilayers. BET equation: V C ( P P0 ) Vm (1 P P0 )(1 P P0 C ( P P0 ) Or it’s linearized form: 1 1 C 1 P V [( P0 P ) 1] VmC VmC P0 By comparing with y = mx+C y- axis = 1/[V (Po/P)-1] x-axis = P/Po m (slope/gradient) = C (intercept) = Then, graph of 1/[V (Po/P)-1] versus P/Po is plotted. BET Graph 0.008 0.007 y = 0.022x + 4E-05 0.006 1/[V(Po/P - 1)] 0.005 0.004 0.003 0.002 0.001 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Relative Pressure (P/Po)
  • 3. By using Microsoft Excel, we obtain a linear equation y = 0.0229x + 4×10-5. Slope = = 0.0229 (Equation 1) Intercept = = 4×10-5 (Equation 2) By solving equation 1 and 2, C = 573.5 Vm = 43.59 ml/g The specific surface area is equal to monolayer capacity x Avogadro’s constant x cross section of adsorbed molecule, that is Sm = nm × Am × N Sm = nm × Am × N nm = = 0.00195 mol/g Sm = nm × Am × N Sm = 0.00195 mol/g × (16.2 ×10 -20 m2) × (6.023 x 1023 mol-1) Sm = 190.2 m2/g
  • 4. Langmuir Model Vads = Or it’s linearized form, By comparing with y = mx+C y- axis = p/Vad x-axis = p m (slope/gradient) = C (intercept) = Then, graph of p/Vad versus p is plotted. Langmuir Graph 4.5 4 y = 0.016x + 0.209 3.5 3 P/Vad 2.5 2 1.5 1 0.5 0 0 50 100 150 200 250 P
  • 5. By using Microsoft Excel, we obtain a linear equation y = 0.0166x + 0.2094 Slope = = 0.0166 (Equation 1) Intercept = = 0.2094 (Equation 2) By solving equation 1, Vm = 60.2 ml/g The specific surface area is equal to monolayer capacity x Avogadro’s constant x cross section of adsorbed molecule, that is Sm = nm × Am × N Sm = nm × Am × N nm = = 0.00269 mol/g Sm = nm × Am × N Sm = 0.00269 mol/g × (16.2 ×10 -20 m2) × (6.023 x 1023 mol-1) Sm =262.3 m2/g