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9 Cards in this Set

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What are the assumptions of the Langmuir Isotherm ?

1.Adsorption is limited to a monolayer.


2.The surface is completely uniform sothat there is the same probability ofadsorption on all sites.


3.The ability of a molecule to adsorb isindependent of whether or not anadjacent site is occupied. ΔHads isindependent of surface coverage.

Define the term fractional coverage ?

number of adsorption sites occupied /


number of adsorption sites available

What is an adsorption isotherm ?

An adsorption isotherm is the equilibrium amount of gas adsorbed on a given adsorbent as afunction of the gas pressure at constant temperature

What is the Langmuir isotherm equation for non-dissociative adsorption ?

A + * -> A*



ka and kd – the rate constants for adsorption and desorption, respectively; Ka = Ka/Kd is the adsorptionequilibrium constant




fractional coverage = Kp / 1+Kp

What is the Langmuir isotherm equation for dissociative adsorption ?

A2 + 2* -> 2A*




fractional coverage = (squr) Kp / 1 + (squr) Kp

What is the Langmuir isotherm equation for competitive adsorption ?

A + * -> A*


B + * -> B*




fc = KaPa / 1+KaPa+ KbPb


fc = KbPb / 1+KaPa+ KbPb

Describe physical adsoprtion ?

Physical adsorption is an exothermic process. Therefore, when the temperature is increased at agiven pressure, the equilibrium shifts towards the reverse reaction (desorption) and K decreases,resulting in a decreased amount of adsorbed material.

What is the equation for isosteric enthalpy of adsorption ata fixed surface coverage ?

(sigma ln p/ sigma(1/T) ) fc = deltaH*/R

Describe the BET isotherm ?

The BET isotherm is based on the same assumptions as the ones for the Langmuir isotherm exceptfor the monolayer restriction – it assumes that adsorption can extend beyond a monolayer(multilayer adsorption). Multilayer adsorption occurs on the majority of solids and therefore theBET model is universally used for determination of the surface area of catalysts by physicaladsorption.