The image above represents chemical breakthrough time.
To compute for chemical breakthrough time, two essential parameters are needed and these parameters are Thickness (l) and Diffusion Coefficient (D).
The formula for calculating chemical breakthrough time:
tb = l²/6D
Where:
tb = Chemical Breakthrough Time
l = Thickness
D = Diffusion Coefficient
Let’s solve an example;
Find the chemical breakthrough time when the thickness is 14 and the diffusion coefficient is 7.
This implies that;
l = Thickness = 14
D = Diffusion Coefficient = 7
tb = l² / 6D
tb = 14²/6(7)
tb = 196/42
tb = 4.66
Therefore, the chemical breakthrough time is 4.66 s.
Calculating the Thickness when the Chemical Breakthrough Time and the Diffusion Coefficient is Given.
l = √tb x 6D
Where;
l = Thickness
tb = Chemical Breakthrough Time
D = Diffusion Coefficient
Let’s solve an example;
Find the thickness when the chemical breakthrough time is 5 and the diffusion coefficient is 20.
This implies that;
tb = Chemical Breakthrough Time = 5
D = Diffusion Coefficient = 20
l = √tb x 6D
l = √5 x 6(20)
l = √5 x 120
l = √600
l = 24.49
Therefore, the thickness is 24.49.