pseudo rate constant 

https://doi.org/10.1351/goldbook.P04933
A term sometimes used for a rate coefficient. For example, if the rate equation is: v=k [A] [B] the function k [A] is the pseudo first-order rate constant (or first-order rate coefficient) with respect to B. Similarly, k [B] is the pseudo first-order rate constant (or first-order rate coefficient) with respect to A. The term pseudo rate constant is particularly useful when the concentration of one reactant is much greater than that of another.
Source:
PAC, 1996, 68, 149. (A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC Recommendations 1996)) on page 178 [Terms] [Paper]