Kinetic Schemes and Mass-Balance Equations

For such a reaction scheme in a CSTR the governing, mass-balance equations for the concentrations a, b and x are 

We now investigate analytically the connection between the present, 3-variable model (eq. 9) and its simpler predecessor (eqs. 1 and 2) when e and k are relatively small quantities (e, k 1). 

Differentiating (11) with respect to time, we have to the leading order 

Since a and p are both less than 1, rates of change of are less by a factor k than those in a and /3. 

These equations clearly reduce to the original model with the termolecular step in the limit e — k — 0. 

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