Chapter 3.2, Problem 5E

Interpretation Introduction

Interpretation:

The law of mass action leads to an equation of the form ${\dot{\text{x}}\text{=C}}_{\text{1}}{\text{x-C}}_{\text{2}}{\text{x}}^{\text{2}}$ has derived also stability of the system has checked when ${\text{k}}_{\text{1}}{\text{a < k}}_{\text{2}}\text{b}$ for ${\text{x}}^{\text{*}}\text{= 0}$ and explained it chemically.

Concept Introduction:

Equation of concentration change is the sum of rates of positive gains and negative losses.

The law of mass action is the rate of any chemical reaction which is proportional to the product of the masses of the reacting substances with each mass raised to a power equal to the coefficient that occurs in the chemical reaction.

To find the stability of the system, we have to differentiate the equation of concentration with respect to x and check stability by substituting x=0 in it.