   # Rate constants were determined for the decomposition of acetaldehyde (CH 3 CHO) in the temperature range 700 to 1000 K. Use these data to determine E a for the reaction using a graphical method. ### 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 14.5, Problem 1CYU
Textbook Problem
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## Rate constants were determined for the decomposition of acetaldehyde (CH3CHO) in the temperature range 700 to 1000 K. Use these data to determine Ea for the reaction using a graphical method. Interpretation Introduction

Interpretation: The value of activation energy has to be determined.

Concept introduction:

Arrhenius equation:

Arrhenius equation is used to calculate the rate constant of many reactions. Arrhenius equation takes the form

k=Ae-Ea/RT

Where,

k=rate constant

A=frequency factor

e=base of logarithms

Ea = energy of activation

T=Temperature

Mathematically, the above equation can be written as,

lnk=lnA-EaRT

Determination of activation energy: If the rate constant for a given reaction are measured at several temperatures, graphical techniques used to determine the activation energy of a reaction.

lnk =-(EaR)1T+lnA Equation for straight line:_lnkindicates y-axis.(EaR)indicates slope1T indicates x-axislnAindicates intercept.

### Explanation of Solution

The activation energy is calculated as,

Experiment1/T(K1)lnk10.0014294.509920.0013162.253830.0011900.774740.0014.9767slope:=(1

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