It is a dissociative substitution process.
Write the reaction mechanism
Step 1:
Ni(CO)₄ → Ni(CO)₃ + CO
Step 2:
Ni(CO)₃ + CO + L → [Ni(CO)₃L
In the first step of the reaction or in the rate-determining step nickel tetracarbonyl dissociates into nickel tricarbonyl and carbon mono oxide. As the first step is the rate-determining step in which dissociation occurs so it is a dissociative mechanism. In the second step phosphines and phosphites replace carbon monoxide at the same rate, in simple words this step is the same for different phosphines and phosphites. This is because it is an SN1 reaction so the second step does not affect the rate of reaction.
You can also learn about dissociative mechanism from the following question:
https://brainly.com/question/24372301
#SPJ4