Derive the governing differential equation for the concentration in a plug

$-$

flow

$($

i

$.$

e

$.$

$$

constant velocity

$)$

$$reactor if the reaction rate is of a

$)$

$$second order and b

$)$

$$zeroth order. Render

each of these equations dimensionless and solve them numerically in Maple. Plot each solution

as a function of the dimensionless plug

$-$

flow reactor axial distance. Assume the necessary conditions