Adsorption isotherms Langmuir equation

Langmuir Equation. It is probable that adsorbed layers have a thickness of a single molecule because of the rapid decrease in intermolecular forces with distance. The Langmuir adsorption isotherm equation is... 

Type C is called the Langmuir2 type because it can be described by the Langmuir adsorption isotherm equation ... 

Alternatively, the Langmuir adsorption isotherm equation can be expressed by the number of adsorbed moles per gram or surface area... 

Show that the data fit a Langmuir adsorption isotherm equation and calculate the area occupied by each adsorbed dodecanol molecule at limiting adsorption. 

Other justifications are (i) the fact that the Langmuir adsorption isotherm equation can also be derived klnetically, without making the restriction that there are localized sites (see sec. 11.1.5a), (ii) that thermodynamic derivations without this restriction can also be given (see above), and (iii) the experience that lattice theories can often represent properties of liquids satisfactorily. 

The isotherm that is most easily understood theoretically and widely applicable to experimental data is, known as the Langmuir isotherm. This is also the simplest model of a nonlinear isotherm. It accounts well for the adsorption of single components on homogenous surfaces at low to moderate concentrations, or for the adsorption to isolated type-I or type-II sites [103, 110, 111]. The Langmuir adsorption isotherm equation is written ... 

The Langmuir adsorption isotherm equation may be written two ways ... 

I.4. Multisite Langmuir Adsorption Isotherm Equation The multisite Langmuir adsorption isotherm equation was formulated for the simultaneous adsorption of a gas by more than one type of surface site. The multisite Langmuir... 

Figure 6.4. Fit of tlie two surface Langmuir adsorption isotherm equation to zinc adsorption by two soil horizons. (From Shuman, 1975.)...

A plot of 6 (fraction of surface covered) against [A] (concentration of a substance in the gas phase or in solution), for a substance obeying the Langmuir adsorption isotherm [equation 01.6)]. 

For ethane and propane, we show below the best fitted parameters for the Langmuir adsorption isotherm equation, which are needed for the simulations of the homogeneous model (eq. 11.3-8). This is for the comparison with the heterogeneous model. The fit of the Langmuir equation is not as good as that for the Unilan equation. 

Following the earlier arguments for deriving the Langmuir adsorption isotherm equation and equating Equation 2.40 and Equation 2.41, we get... 

An adsorption isotherm establishes the relationship between the amount of adsorbate adsorbed to the solid surface and the concentration of adsorbate remaining in the solution. Thus, Equation A.6 is the Langmuir adsorption isotherm equation. Equation A.6 can also be expressed in terms of concentration of A for liquid-phase systems. 

For this simple case, the coverage of A is simply what can be predicted from Langmuir adsorption isotherm (Equation 5.20). Another very frequently encountered situation is the dissociative adsorption, or adsorption requiring more than one site. 

---