The acid-catalyzed hydrolysis of sucrose occurs by the following overall reaction whose kinetic data are given below: 

C ₁₂ H ₂ O _{11 (s)} +H ₂ O _(l) ⟶C ₆ H ₁₂ O _{6 (aq)} +C ₆ H ₁₂ O _6(aq)  

sucrose ⟶ glucose fructose

(a) Determine the rate constant and the half-life of the reaction. 

(b) How long does it take to hydrolyze 75% of the sucrose? 

(c) Other studies have shown that this reaction is actually second-order overall but appears to follow first-order kinetics. (Such a reaction is called a pseudo-first-order reaction.) Suggest a reason for this apparent first-order behavior.

[Sucrose] (mol/L) Time (h) 0.501 0.00 0.451 0.50 0.404 1.00 0.363 1.50 0.267 3.00