The image above represents fick’s second law of diffusion. To calculate fick’s second law of diffusion, two essential parameters are needed and these parameters are **Diffusion Coefficient (D) **and **Diffusion Gradient ( ^{d²C}/_{dx²}).**

**The formula for calculating fick’s second law of diffusion:**

dC/dt = D(^{d²C}/_{dx²})

Where:

dC/dt = Fick’s Second Law of Diffusion

D = Diffusion Coefficient

^{d²C}/_{dx²} = Diffusion Gradient

Let’s solve an example;

Find the fick’s seond law of diffusion when the diffusion coefficient is 4 and the diffusion coefficient is 28.

This implies that;

D = Diffusion Coefficient = 4

^{d²C}/_{dx²} = Diffusion Gradient = 28

dC/dt = D(^{d²C}/_{dx²})

So, dC/dt = (4)(28)

dC/dt = 112

Therefore, the **fick’s second law of diffusion **is **112mol m ^{-2} s^{-1}.**

**Calculating the Diffusion Coefficient when Fick’s Second Law of Diffusion and the Diffusion Gradient are Given**

D = ^{dC/dt} / ^{d²C}/_{dx²}

Where:

D = Diffusion Coefficient

dC/dt = Fick’s Second Law of Diffusion

^{d²C}/_{dx²} = Diffusion Gradient

Given an example;

Find the diffusion coefficient when the fick’s second law of diffusion is 40 and the diffusion coefficient is 5.

This implies that;

dC/dt = Fick’s Second Law of Diffusion = 40

dC/dx = Diffusion Gradient = 5

D = ^{dC/dt} / ^{d²C}/_{dx²}

So, D = ^{40} / _{5}

D = 8

Therefore, the **diffusion coefficient **is **8****.**

Read more: How to Calculate And Solve for Fick’s First Law of Diffusion | Diffusion in Alloying

**Calculating the Diffusion Gradient when the Fick’s Second Law of Diffusion and the Diffusion Coefficient are Given**

^{d²C}/_{dx²} = ^{dC/dt} / _{D}

Where:

^{d²C}/_{dx²} = Diffusion Gradient

dC/dt = Fick’s Second Law of Diffusion

D = Diffusion Coefficient

Let’s solve an example;

Find the diffusion coefficient when the fick’s second law of diffusion is 35 and the diffusion coefficient is 7.

This implies that;

dC/dt = Fick’s Second Law of Diffusion = 35

D = Diffusion Coefficient = 7

^{d²C}/_{dx²} = ^{dC/dt} / _{D}

That is, ^{d²C}/_{dx²} = ^{35} / _{7}

^{d²C}/_{dx²} = 5

Therefore, the **diffusion gradient **is **5.**

**How to Calculate Fick’s Second Law of Diffusion Using Nickzom Calculator**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the fick’s second law of diffusion.

To get the answer and workings of the fick’s second law of 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 **Fick’s Second Law of Diffusion**** **under **Diffusion In Alloying**

The screenshot below displays the page or activity to enter your values, to get the answer for the fick’s second law of diffusion according to the respective parameter which is the **Diffusion Coefficient (D) **and **Diffusion Gradient ( ^{d²C}/_{dx²}).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Diffusion Coefficient (D)** is **4 **and **Diffusion Gradient ( ^{d²C}/_{dx²})** is

**28**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the fick’s second law of diffusion and presents the formula, workings and steps too.