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

The image above represents non steady state diffusion. To calculate non steady state diffusion, three essential parameters are needed and these parameters are Distance of Diffusion (x), Diffusion Coefficient (D)Â andÂ Time for Diffusion (t).

### The formula for calculating non steady state diffusion:

JnÂ =Â xÂ²/Dt

Where:

JnÂ = 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

JnÂ =Â xÂ²/Dt
JnÂ =Â (8)Â²/(10)(12)
So, JnÂ =Â (64)/(120)
Jn = 0.53

Therefore, theÂ non steady state diffusionÂ isÂ 0.53 mol m-2Â s-1.

### Calculating the Distance of Diffusion when the Non Steady State Diffusion, the Diffusion Coefficient and the Time for Diffusion are Given

x = âˆšJn x Dt

Where:

x = Distance of Diffusion
JnÂ = 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;

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Jn = Non Steady State Diffusion = 10
D = Diffusion Coefficient = 5
t = Time for Diffusion = 6

x = âˆšJn x Dt
x = âˆš10 x (5)(6)
That is, x = âˆš10 x 30
x = âˆš40
x = 6.32

Therefore, the distance of diffusionÂ isÂ 6.32.

### Calculating the Diffusion Coefficient when the Non Steady State Diffusion, the Distance of Diffusion and the Time for Diffusion are Given

D = x2 / Jn x t

Where:

D = Diffusion Coefficient
JnÂ = 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;

Jn = Non Steady State Diffusion = 6
x = Distance of Diffusion = 8
t = Time for Diffusion = 2

D = x2 / Jn x t
Then, D = 82 / 6 x 2
D = 64 / 12
D = 5.33

Therefore, theÂ diffusion coefficientÂ isÂ 5.33.

### Calculating the Time for Diffusion when the Non Steady State Diffusion, the Distance of Diffusion and the Diffusion Coefficient are Given

t = x2 / Jn x D

Where:

t = Time for Diffusion
JnÂ = 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;

Jn = Non Steady State Diffusion = 2
x = Distance of Diffusion = 4
D = Diffusion Coefficient = 3

t = x2 / Jn x D
t = 42 / 2 x 3
So, t = 16 / 6
t = 2.67

Therefore, theÂ time for diffusionÂ isÂ 2.67s.

### How to Calculate Non Steady State Diffusion With Nickzom Calculator

Nickzom Calculator â€“Â 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 â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

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 Diffusion In AlloyingÂ underÂ Materials and Metallurgical

Now, Click on Non-Steady State DiffusionÂ underÂ 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)Â andÂ 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 fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the non steady state diffusion and presents the formula, workings and steps too.