Rate equations of the form: kCACB TA = 1 + (KACA)^2 are required to describe the rates

Rate equations of the form:
kCACB TA = 1 + (KACA)^2
are required to describe the rates of some heterogeneous catalytic reactions. Suppose that the reaction: A + B → Products, occurs in the liquid phase. Reactant B is present in substantial excess, so that Cp does not change appreciably as Reactant A is consumed.

(a) The value of -rA goes through a maximum as CA is increased. At what value of CA does this maximum occur?
(b) The concentration of A in the feed to a continuous reactor is CA0 = 1.5/KA. The concentration of A in the effluent is 0.5/KA. Make a sketch of (1/(-rA)) versus CA that covers this range of concentration.
(c) One ideal continuous reactor will be used to carry out this reaction. Should it be a CSTR or PFR? Why?
(d) Would your answer in part C be different if the inlet concentration was CA0 = 1.5/KA and the outlet concentration was CA = 1.0/KA? Why?

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