   # Sucrose decomposes to fructose and glucose in acid solution. A plot of the concentration of sucrose as a function of time is given in the margin. What is the rate of change of the sucrose concentration over the first 2 hours? What is the rate of change over the last 2 hours? Concentration versus time for the decomposition of sucrose. ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14.1, Problem 1CYU
Textbook Problem
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## Sucrose decomposes to fructose and glucose in acid solution. A plot of the concentration of sucrose as a function of time is given in the margin. What is the rate of change of the sucrose concentration over the first 2 hours? What is the rate of change over the last 2 hours? Concentration versus time for the decomposition of sucrose.

Interpretation Introduction

Interpretation:

The rate of change over the given time intervals has to be identified.

Concept Introduction:

The rate of reaction is the quantity of formation of product or the quantity of reactant used per unit time.  The rate of reaction doesn’t depend on the sum of amount of reaction mixture used.

The equation that relates the reaction rate to the reactants concentrations that is raised to various powers is called as rate law.

Rate law can be determined by the slow step or otherwise called as rate-determining step.

Rate constant is defined as proportionality constant in the connection between rate and concentrations.

### Explanation of Solution

The rate of change of sucrose for first two hours is calculated as follows,

Observing the above diagram the concentration change for first two hours is determined shown as follows,

Rateofchange -change in [sucrose]change in time  -0.0330.050 mol/L2.0 h= 0.0085 mol/L. h

The rate of change of sucrose for last two hours is calculated as follows,

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