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Sugar Hydrolysis

One of the most important products that we have in our daily diet is sugar. The main type of sugar that we use is sucrose, which is a disaccharide consisting of glucose and fructose. The hydrolysis of sucrose to produce glucose and fructose occurs by the following overall reaction:

C12H22O11(s) + H2O(l) yields C6H12O6(aq) + C6H12O6(aq)
glucose fructose

A biochemist studies the kinetics of the process and obtains the following data that is consistent with a first order reaction:
[Sucrose]M Time(h)
0.501 0
0.451 0.50
0.404 1.00
0.363 1.50
0.267 3.00

a. Use the above data to determine the rate constant and half-time of the reaction.
b. How long does it take to hydrolyze 70% of the sucrose.
c. How do you explain the fact that other studies demonstrate this is a second order reaction with water as the second reactant? In other words, why isn't water in the rate expression above?

Solution Preview

Please see the attached file.

a) As summarized in the reference, for a first order reaction, the integrated rate laws can be written as:
[A] = [A]0 e- k t
or ln[A]=ln[A0] - kt

So we need to plot ln[A] vs. t to see if there is a linear relationship. If there is, the slope k could be found from the plot. The plot is ...

Solution Summary

The solution provides detailed explanations on the concept of sugar hydrolysis and step-by-step calculations. It also provides calculations and drawings in an Excel file.