# How to Calculate and Solve for Permeability due to Partial Pressure | Mass Transfer

The image above represents permeability due to partial pressure. To calculate permeability due to partial pressure, three essential parameters are needed and these parameters are Diffusion Coefficient (D), Constant (K)Â and Partial Pressure (Po).

### The formula for calculating permeability due to partial pressure:

P =Â DKÂ /Â âˆš(Po)

Where:

P = Permeability due to Partial Pressure
D = Diffusion Coefficient
K = Constant
Po = Partial Pressure

Let’s solve an example;
Find the permeability due to partial pressure when the diffusion coefficient is 12, the constant is 14 and the partial pressure is 17.

This implies that;

D = Diffusion Coefficient = 12
K = Constant = 14
Po = Partial Pressure = 17

P =Â DKÂ /Â âˆš(Po)
That is, P = (12)(14)Â /Â âˆš(17)
P =Â 168Â /Â 4.12
P = 40.74

Therefore, theÂ permeability due to partial pressureÂ isÂ 40.74.

### Calculating the Diffusion Coefficient when the Permeability due to Partial Pressure, the Constant and the Partial Pressure are Given

D = P x âˆš(Po) / K

Where;

D = Diffusion Coefficient
P = Permeability due to Partial Pressure
K = Constant
Po = Partial Pressure

Let’s solve an example;
Find the diffusion coefficient when the permeability due to partial pressure is 12, the constant is 8 and the partial pressure is 16.

This implies that;

P = Permeability due to Partial Pressure = 12
K = Constant = 8
Po = Partial Pressure = 16

D = P x âˆš(Po) / K
D = 12 x âˆš(16) / 8
Then, D = 12 x 4 / 8
D = 48 / 8
D = 6

Therefore, theÂ diffusion constantÂ isÂ 6.

### Calculating the Constant when the Permeability due to Partial Pressure, the Diffusion Coefficient and the Partial Pressure are Given

K = P x âˆš(Po) / D

Where:

K = Constant
P = Permeability due to Partial Pressure
D = Diffusion Coefficient
Po = Partial Pressure

Let’s solve an example;
Find the constant when the permeability due to partial pressure is 20, the diffusion constant is 10 and the partial pressure is 25.

This implies that;

P = Permeability due to Partial Pressure = 20
D = Diffusion Coefficient = 10
Po = Partial Pressure = 25

K = P x âˆš(Po) / D
K = 20 x âˆš(25) / 10
Then, K = 20 x 5 / 10
K = 100 / 10
K = 10

Therefore, theÂ constantÂ isÂ 10.

### Calculating the Partial Pressure when the Permeability due to Partial Pressure, the Diffusion Coefficient and the Constant are Given

Po =(DK / P)2

Where:

Po = Partial Pressure
P = Permeability due to Partial Pressure
D = Diffusion Coefficient
K = Constant

Let’s solve an example;
Find the partial pressure when the permeability due to partial pressure is 15, the diffusion constant is 5 and the constant is 6.

This implies that;

P = Permeability due to Partial Pressure = 15
D = Diffusion Coefficient = 5
K = Constant = 6

Po =(DK / P)2
Po =((5)(6) / 15)2
So, Po =(30 / 15)2
Po =(2)2
Po = 4

Therefore, theÂ partial pressureÂ isÂ 4.

### How to Calculate Permeability due to Partial Pressure Using Nickozm Calculator

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the permeability due to partial pressure.

To get the answer and workings of the permeability due to partial pressure using the Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

To get access to theÂ professionalÂ version via web, you need toÂ registerÂ andÂ subscribeÂ forÂ NGN 2,000Â perÂ annumÂ to have utter access to all functionalities.
You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ Mass TransportÂ underÂ Materials and Metallurgical

Now, Click on Permeability due to Partial Pressure underÂ Mass Transport

The screenshot below displays the page or activity to enter your values, to get the answer for the permeability due to partial pressure according to the respective parameter which is the Diffusion Coefficient (D), Constant (K)Â and Partial Pressure (Po).

Now, enter the values appropriately and accordingly for the parameters as required by the Diffusion Coefficient (D) is 12, Constant (K) is 14 and Partial Pressure (Po) is 17.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the permeability due to partial pressure and presents the formula, workings and steps too.