is being carried out in a fluidized bed reactor. Currently, 63.2% conversion is achieved when the bed is operated at 2 times the minimum fluidization velocity. It is proposed to increase production by doubling the volumetric flow rate through the bed while at the same time replacing the catalyst in the bed with one whose particle diameter is one third that currently in the bed. If the proposed change is carried out, what will the new conversion be if the bed height remains fixed if;

(a) The reaction rate is limiting.
(b) The reaction is transport limited with very few catalyst particles present in the bubble phase.

You may assume remains virtually unchanged and D_AB is small.