# How to Calculate and Solve for Non Steady State Diffusion | Diffusion in Alloying

**Last Updated on February 28, 2023**

The image above represents non steady state diffusion.

To compute for non steady state diffusion, three essential parameters are needed and these parameters are **Distance of Diffusion (x), Diffusion Coefficient (D) **and **Time for Diffusion (t).**

The formula for calculating non steady state diffusion:

J_{n} = ^{x²}/_{Dt}

Where:

J_{n} = Non Steady State Diffusion

x = Distance of Diffusion

D = Diffusion Coefficient

t = Time for Diffusion

Given an example;

Find the non steady state diffusion when the distance of diffusion is 8, the diffusion coefficient is 10 and the time for diffusion is 12.

This implies that;

x = Distance of Diffusion = 8

D = Diffusion Coefficient = 10

t = Time for Diffusion = 12

J_{n} = ^{x²}/_{Dt}

J_{n} = ^{(8)²}/_{(10)(12)}

J_{n} = ^{(64)}/_{(120)}

J_{n} = 0.53

Therefore, the **non steady state diffusion **is **0.53 mol m ^{-2} s^{-1}.**

**Calculating the Distance of Diffusion when the Non Steady State Diffusion, the Diffusion Coefficient and the Time for Diffusion is Given.**

x = √J_{n} x Dt

Where:

x = Distance of Diffusion

J_{n} = Non Steady State Diffusion

D = Diffusion Coefficient

t = Time for Diffusion

Let’s solve an example;

Find the distance of diffusion when the non steady state diffusion is 10, the diffusion coefficient is 5 and the time for diffusion is 6.

This implies that;

J_{n} = Non Steady State Diffusion = 10

D = Diffusion Coefficient = 5

t = Time for Diffusion = 6

x = √J_{n} x Dt

x = √10 x (5)(6)

x = √10 x 30

x = √40

x = 6.32

Therefore, the **distance of diffusion **is **6.32.**

**Calculating the Diffusion Coefficient when the Non Steady State Diffusion, the Distance of Diffusion and the Time for Diffusion is Given.**

D = ^{x2} / _{Jn x t}

Where:

D = Diffusion Coefficient

J_{n} = Non Steady State Diffusion

x = Distance of Diffusion

t = Time for Diffusion

Let’s solve an example;

Given that, the non steady state diffusion is 6, the distance of diffusion is 8 and the time for diffusion is 2.

This implies that;

J_{n} = Non Steady State Diffusion = 6

x = Distance of Diffusion = 8

t = Time for Diffusion = 2

D = ^{x2} / _{Jn x t}

D = ^{82} / _{6 x 2}

D = ^{64} / _{12}

D = 5.33

Therefore, the **diffusion coefficient **is **5.33.**

**Calculating the Time for Diffusion when the Non Steady State Diffusion, the Distance of Diffusion and the Diffusion Coefficient is Given.**

t = ^{x2} / _{Jn x D}

Where:

t = Time for Diffusion

J_{n} = Non Steady State Diffusion

x = Distance of Diffusion

D = Diffusion Coefficient

Given an example;

Find the time for diffusion when the non steady state diffusion is 2, the distance of diffusion is 4 and the diffusion coefficient is 3.

This implies that;

J_{n} = Non Steady State Diffusion = 2

x = Distance of Diffusion = 4

D = Diffusion Coefficient = 3

t = ^{x2} / _{Jn x D}

t = ^{42} / _{2 x 3}

t = ^{16} / _{6}

t = 2.67

Therefore, the **time for diffusion **is **2.67s.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the non steady state diffusion.

To get the answer and workings of the non steady state diffusion 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 **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 **Diffusion In Alloying**** **under **Materials and Metallurgical**

Now, Click on **Non-Steady State Diffusion**** **under **Diffusion In Alloying**

The screenshot below displays the page or activity to enter your values, to get the answer for the non-steady state diffusion according to the respective parameter which is the **Distance of Diffusion (x), Diffusion Coefficient (D) **and **Time for Diffusion (t).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Distance of Diffusion (x)** is **8**,** Diffusion Coefficient (D)** is **10 **and **Time for Diffusion (t)** is **12**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the non steady state diffusion and presents the formula, workings and steps too.