How to Calculate and Solve for Degree of Polymerization | Both Mechanisms | Polymer & Textile

Last Updated on March 12, 2024

To calculate the degree of polymerization, two essential parameters are needed, and these parameters are parameter (σ) and parameter (V).

The formula for calculating the degree of polymerization:

X_n = ^2V / _{1 + σ}

Where:

X_n = Degree of Polymerization
σ = Parameter
V = Parameter

Let’s solve an example;
Find the degree of polymerization when the parameter is 12 and the parameter is 18.

This implies that;

σ = Parameter = 12
V = Parameter = 18

X_n = ^2V / _{1 + σ}
Then, X_n = ²⁽¹⁸⁾ / _{1 + 12}
X_n = ³⁶ / ₁₃
X_n = 2.769

Therefore, the degree of polymerization is 2.769.

Calculating the Parameter when the Degree of Polymerization and Parameter are Given

V = ^{X_n (1 + σ)} / ₂

Where:

V = Parameter
σ = Parameter
X_n = Degree of Polymerization

Let’s solve an example;
Find the parameter when the degree of polymerization is 22 and the parameter is 4.

This implies that;

X_n = Degree of Polymerization = 22
σ = Parameter = 4

V = ^{X_n (1 + σ)} / ₂
V = ^{22 (1 + 4)} / ₂
So, V = ^{22 (5)} / ₂
V = ¹¹⁰ / ₂
V = 55

Therefore, the parameter is 55.

Read more: How to Calculate and Solve for Degree of Polymerization | Polymer

Calculating the Parameter when the Degree of Polymerization and Parameter are Given

σ = ^2V / _Xn – 1

Where:

σ = Parameter
V = Parameter
X_n = Degree of Polymerization

Let’s solve an example;
Find the parameter when the degree of polymerization is 32 and the parameter is 14.

This implies that;

X_n = Degree of Polymerization = 32
V = Parameter = 14

σ = ^2V / _Xn – 1
σ = ²⁽¹⁴⁾ / ₃₂ – 1
So, σ = ²⁸ / ₃₂ – 1
σ = 0.875 – 1
σ = -0.125

Therefore, the parameter is -0.125.

How to Calculate and Solve for Degree of Polymerization | Both Mechanisms  Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the degree of polymerization | both mechanisms.

To get the answer and workings of the degree of polymerization | both mechanisms 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 1,500 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 Polymer & Textile under Engineering.

Now, Click on Degree of Polymerization | Both Mechanisms under Polymer & Textile

The screenshot below displays the page or activity to enter your values to get the answer for the degree of polymerization according to the respective parameters which is the parameter (σ) and parameter (V).

Now, enter the values appropriately and accordingly for the parameters as required by the parameter (σ) is 12 and parameter (V) is 18.

Finally, Click on Calculate

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