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

**Last Updated on August 1, 2021**

The image above represents permeability due to partial pressure.

To compute for permeability due to partial pressure, three essential parameters are needed and these parameters are **Diffusion Coefficient (D), Constant (K) **and **Partial Pressure (P _{o}).**

The formula for calculating permeability due to partial pressure:

P = ^{DK} / _{√(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 = ^{DK} / _{√(Po)}

P = ^{(12)(14)} / _{√(17)}

P = ^{168} / _{4.12}

P = 40.74

Therefore, the **permeability due to partial pressure **is **40.74.**

**Calculating the Diffusion Coefficient when the Permeability due to Partial Pressure, the Constant and the Partial Pressure is Given.**

D = ^{P x √(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 √(Po)} / _{K}

D = ^{12 x √(16)} / _{8}

D = ^{12 x 4} / _{8}

D = ^{48} / _{8}

D = 6

Therefore, the **diffusion constant **is **6.**

**Calculating the Constant when the Permeability due to Partial Pressure, the Diffusion Coefficient and the Partial Pressure is Given.**

K = ^{P x √(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 √(Po)} / _{D}

K = ^{20 x √(25)} / _{10}

K = ^{20 x 5} / _{10}

K = ^{100} / _{10}

K = 10

Therefore, the **constant **is **10.**

**Calculating the Partial Pressure when the Permeability due to Partial Pressure, the Diffusion Coefficient and the Constant is 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}

Po =(^{30} / _{15})^{2}

Po =(2)^{2}

Po = 4

Therefore, the **partial pressure **is **4.**

Nickzom Calculator – **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 – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 2,000 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials and Metallurgical **under **Engineering****.**

Now, Click on **Mass Transport **under **Materials and Metallurgical**

Now, Click on **Permeability due to Partial Pressure **under **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) **and **Partial Pressure (P _{o}).**

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 (P _{o})** is

**17**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the permeability due to partial pressure and presents the formula, workings and steps too.