   Chapter 14, Problem 15PS

Chapter
Section
Textbook Problem

The rate equation for the hydrolysis of sucrose to fructose and glucoseCl2H22O11(aq) + H2O (ℓ) → 2 C6Hl2O6(aq)is –Δ[sucrose]/Δt = k[C12H22O11]. After 27 minutes at 27 °C, the sucrose concentration decreased from 0.0146 M to 0.0132 M. Find the rate constant, k.

Interpretation Introduction

Interpretation: The rate constant of the reaction has to be found.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

aA + bBxXRate of reaction = k [A]m[B]n

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

Explanation

The reaction rate of the chemical reaction is given as,

Reactionrate = k [C12H22O11][H2O].Given:The reaction is first order reaction,rate law is , ln[C12H22O11]t=-kt+ln[C12H22O11]0time = 27minsTherefore,ln[C12H22O11]t=-kt+ ln[C12H22O11]0ln 0

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