How to Calculate the Number of Degree of Freedom | Gibbs Phase Rule

The image of the number of degree of freedom is represented below. To calculate the number of degree of freedom, three essential parameters are needed and these parameters are Number of Phases Present (P), Number of Components in System (C) and Number of Non-Compositional Variables (N).

The formula for calculating number of degree of freedom:

F = (C + N) – P

Where:

F = Number of Degree of Freedom
P = Number of Phases Present
C = Number of Components in System
N = Number of Non-Compositional Variables

Let’s solve an example;
Given that the number of phases present is 5, the number of components in system is 15 and the number of non-compositional variables is 2.

This implies that;

P = Number of Phases Present = 5
C = Number of Components in System = 15
N = Number of Non-Compositional Variables = 2

F = (C + N) – P
F = (15 + 2) – 5
So, F = 17 – 5
F = 12

Therefore, the number of degree of freedom is 12.

How to Calculate the Number of Degree of Freedom Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the number of degree of freedom.

To get the answer and workings of the number of degree of freedom 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

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Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Then, Click on Phase Transformation under Materials and Metallurgical

Now, Click on Gibbs Phase Rule under Phase Transformation

Now, Click on Number of Degree of Freedom under Gibbs Phase Rule

The screenshot below displays the page or activity to enter your values, to get the answer for the number of degree of freedom according to the respective parameter which is the Number of Phases Present (P), Number of Components in System (C) and Number of Non-Compositional Variables (N).

How to Calculate and Solve for Calculate the Number of Degree of Freedom | Gibbs Phase Rule

Now, enter the values appropriately and accordingly for the parameters as required by the Number of Phases Present (P) is 5, Number of Components in System (C) is 15 and Number of Non-Compositional Variables (N) is 2.

How to Calculate and Solve for Calculate the Number of Degree of Freedom | Gibbs Phase Rule

Finally, Click on Calculate

How to Calculate and Solve for Calculate the Number of Degree of Freedom | Gibbs Phase Rule

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the number of degree of freedom and presents the formula, workings and steps too.

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