12) The acid-catalyzed hydrolysis of sucrose occurs by the following overall reaction, whose kinetic data are given below: C2HO1(s) + H,0() - CH120(aq) + CH0,(aq) sucrose glucose Time (h) fructose (Sucrose] (mol/L) 0.501 0.00 0.50 1.00 1.50 3.00 0.451 0.404 0,363 0.267 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.

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Chapter11: Rate Of Reaction
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12) The acid-catalyzed hydrolysis of sucrose occurs by the following overall reaction, whose
kinetic data are given below:
C2HO(8) + H,0()
CH120,(aq) + CH,0,(aq)
sucrose
glucose
fructose
(Sucrose] (mol/L)
Time (h)
0.501
0.451
0.404
0.00
0.50
1.00
1.50
3.00
0.363
0.267
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.
Transcribed Image Text:12) The acid-catalyzed hydrolysis of sucrose occurs by the following overall reaction, whose kinetic data are given below: C2HO(8) + H,0() CH120,(aq) + CH,0,(aq) sucrose glucose fructose (Sucrose] (mol/L) Time (h) 0.501 0.451 0.404 0.00 0.50 1.00 1.50 3.00 0.363 0.267 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.
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