1. MOLE BALANCE ON MONOMERS (ALUMINUM MOLECULES)

A mole balance on the moles of aluminum in the reactor is

(1)

Multiply both sides by Avogadro's number

(2)

(3)

where fA is the molecular flow rate, (molecules/s), and is the rate of formation of aluminum (molecules/s/dm3).

            Base everything on per kg of gas                

(4)

where is the mass flow rate of gas, kg/s, and n_m is the molecular concentration of aluminum molecules per kg of gas.

(5)

If one were to generalize, one could think of the aluminum molecules as monomer molecules, in which nm is the concentration of monomer in terms of monomer molecules per kg of gas. Writing the reactor volume, V1, in terms of cross sectional area Ac and distance x down the reactor we have

(6)

            Combining Eqns (5) and (6) we obtain

(7)

            If we move with the gas, , then

            Dividing by rg, kg of gas/m³               

(8)