CHAP. 13: PHYSICAL CHEMISTRY OF SURFACES [CONTENTS] 452
The basic differences between physical adsorption and chemisorption are shown in the fol-
lowing table.
Physical adsorption Chemisorption
Specificity unspecific specific
Number of adsorbed layers > 1 1
Adsorption heat in kJ mol−^1 5–50 50–800
Rate of adsorption high relatively low
Desorption by decreasing pressure by increasing temperature
13.2.4 Quantitative description of the adsorption isotherm in pure
gases
Quantitative description of adsorption is most often performed using an adsorption isotherm
equation. For pure gases, the following isotherms are used in simple cases:
a) EmpiricalFreundlich isotherm
a=α pβ, (13.37)
whereα,βare temperature-dependent parameters. It usually applies thatβ <1. This equation
provides a good description of both physical adsorption and chemisorption at medium pressures.
The following limits follow from this equation
plim→ 0
(
∂a
∂p
)
T
=∞ [forβ <0], plim→∞a=∞, (13.38)
b)Langmuir isotherm
a=amax
b p
1 +b p
, (13.39)
whereamax,bare parameters, andamaxhas the physical meaning of the maximum amount of
adsorbate atp→∞.