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Chemistry & Chemical Reactivity

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

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BuyFindarrow_forward

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.

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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 -2.235×104K.  The activation energy is calculated as,

  slope:=-2.235×104K (obtained  by a linear squares fit of the line by Microsoft Excel)Calculateactivationenergy:slope=-E

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