   Chapter 20, Problem 20.95E

Chapter
Section
Textbook Problem

# The only two variables in equation 20.85 , which relates the pre-exponential factor to Δ S ∗ , are temperature and Δ S ∗ itself. What are the trends in A as each of those variables increases? Can you rationalize each trend?

Interpretation Introduction

Interpretation:

The trends in pre-exponential factor A with the increase in the value of ΔS and temperature are to be predicted.

Concept introduction:

The Eyring equation gives the variation of rate of reaction with temperature. This equation is for transition state theory and resembles the Arrhenius equation. The Eyring equation is a more accurate method for the calculation of rate constant and also it gives idea of the progression of the reaction at molecular level.

Explanation

Equation 20.85 is,

A=ekBTc°heΔS/R

Where,

k is the rate constant.

kB is the Boltzmann constant.

T is the temperature.

ΔS is the entropy change.

R is the gas constant.

h is the Planck’s constant.

c° is the standard concentration unit

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