At this point, it is also appropriate to consider whether the same equation would have been obtained had we chosen to write the reaction velocity v not as k3[C$X] but as the steady-state rate through the first reaction step (i.e., V = ki[C][A] — k2[C$X]. In this case, the rate law becomes:
_ (ki [Cp][A] — k2[X])[Ct] (ki [Cp][A] — k2[X])[Ct]
Because at steady state, [C] can be expressed as [(fo ki][C$X]/[A], we can substitute this value to obtain:
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