Chapter 14.7, Problem 2.4ACP

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Determine the activation energy for the reaction of H2 and I2 to produce HI, given the data in the table.

Interpretation Introduction

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

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

A graph of ln (k) versus 1/T, where T is in kelvins, yields a straight line with slope of -2.235â€‰Ã—104K.Â  The activation energy is calculated as,

â€‚Â slope:â€‰â€‰â€‰=â€‰â€‰-2.235â€‰Ã—104KÂ (obtainedÂ Â byÂ aÂ linearÂ squaresÂ fitÂ ofÂ theÂ lineÂ byÂ MicrosoftÂ Excel)Calculateâ€‰activationâ€‰energy:slopeâ€‰â€‰â€‰=â€‰â€‰â€‰-E

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