   Chapter 20, Problem 20.98E

Chapter
Section
Textbook Problem

Explain how (or if) equation 20.84 is consistent with the general statements of the laws of thermodynamics that reactions tend toward lower energy and higher entropy.

Interpretation Introduction

Interpretation:

The validation of the fact that the equation 20.84 is consistent with the general statements of the laws of thermodynamics that reactions tend toward lower energy and higher entropy is to be stated.

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 20.84 is,

A=ekBTc°heEA/RTeΔS/R

Where,

k is the rate constant.

kB is the Boltzmann constant.

T is the temperature.

ΔS is the entropy change.

EA is the activation energy.

R is the gas constant.

h is the Planck’s constant.

c° is the standard concentration unit

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