2. Experimental data from a catalytic gas phase reaction A→B+C is given in the table below.

a) Derive a Langmuir-Hinshelwood-Hougen-Watson rate expression for reactant A based on the following mechanism involving gaseous species and a solid catalyst. The rate expression that you derive should contain only measurable properties of partial pressures of gaseous species, equilibrium constants and the total concentration of active catalytic sites. It is believed that the surface reaction rate is much slower than all the other steps

A+S ⇌ A∙S

A∙S+B⇌A∙S

C∙S⇌C+S

 Define equilibrium constants, Ki, for each of the steps that are not rate limiting, using Ci∙S, for the concentration of adsorbed species i, Cv for the concentration of unoccupied active sites, and pi for the partial pressure of gas phase species i.

 Give the site balance for all active sites. Use the variables CT for the total concentration of all active sites, Ci∙S for occupied sites by species i, and Cv for the concentration of unoccupied active sites.

 Derive the expression for the reaction rate in terms of the partial pressure of gas phase species, total concentration of active sites and equilibrium constants. Show all steps required for this derivation.

b) Regress the above data with your reaction rate expression to obtain numerical values of the constants in the reaction rate expression. Show your regression output from PolyMath or Excel.