Analysis of a hydrolysis reaction occurring in a dilute aqueous solutionof sucrose shows that 80 grams of the original 100 grams of sucroseremain after 10 hours. At this rate, how much sucrose would be left after24 hours? (Assume a pseudo-first-order reaction.)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Analysis of a hydrolysis reaction occurring in a dilute aqueous solution
of sucrose shows that 80 grams of the original 100 grams of sucrose
remain after 10 hours. At this rate, how much sucrose would be left after
24 hours? (Assume a pseudo-first-order reaction.)

Expert Solution
Step 1

Concentration of sucrose after 10 h = 80 g

Initial concentrations of sucrose solution = 100 g

Step 2

A hydrolysis reaction takes place in a dilute aqueous solution of sucrose.

It is given that reaction is pseudo first order.

Pseudo first order reaction is a reaction in which a reactant is much concentrated than other, thereby the concentration of that reactant remains constant throughout the reaction.

Thus, concentrated reactant has no effect on rate of reaction, and reaction can be assumed to be first order reaction.

The kinetic equation of first order reaction is given by the following equation:

lnCC0 = -kt               ............. (1)

Where,

C0 represents the initial concentration.

C represents the concentration a time t.

k represents the rate constant.

t represents the time.

 

Step 3

C0 = 100 g

C = 80 g

t = 10 h

Plugin the values in equation (1)

ln80100 = -k×10 hk = 0.022314 h-1

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