Engineering

How to Calculate and Solve for Isentropic Expansion | Enthalpy

Last Updated on July 12, 2022

The isentropic expansion is illustrated by the image below.

To compute for isentropic expansion, two essential parameters are needed and these parameters are Internal Energy 1 (U1) and Internal Energy 2 (U2).

The formula for calculating isentropic expansion:

W = u1 – u2

Where:

W = Isentropic Expansion
u1 = Internal Energy 1
u2 = Internal Energy 2

Given an example;
Find the isentropic expansion when the internal energy 1 is 14 and the internal energy 2 is 8.

This implies that;

u1 = Internal Energy 1 = 14
u2 = Internal Energy 2 = 8

W = u1 – u2
W = 14 – 8
W = 6

Therefore, the isentropic expansion is 6.

Calculating the Internal Energy 1 when the Isentropic Expansion and the Internal Energy 2 is Given.

u1 = W + u2

Where:

u1 = Internal Energy 1
W = Isentropic Expansion
u2 = Internal Energy 2

Let’s solve an example;
Given that the isentropic expansion is 21 and the internal energy 2 is 4. Find the Internal energy 1?

This implies that;

W = Isentropic Expansion = 21
u2 = Internal Energy 2 = 4

u1 = W + u2
u1 = 21 + 4
u1 = 25

Therefore, the internal energy 1 is 25.

Calculating the Internal Energy 2 when the Isentropic Expansion and the Internal Energy 1 is Given.

u2 = u1 – W

Where:

u2 = Internal Energy 2
W = Isentropic Expansion
u1 = Internal Energy 1

Let’s solve an example;
Given that the isentropic expansion is 10 and the internal energy 1 is 28.

This implies that;

W = Isentropic Expansion = 10
u1 = Internal Energy 1 = 28

u2 = u1 – W
u2 = 28 – 10
u2 = 18

Therefore, the internal energy 2 is 18.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the isentropic expansion.

To get the answer and workings of the isentropic expansion 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 Chemical Reaction Thermodynamics under Materials and Metallurgical

Now, Click on Enthalpy under Chemical Reaction Thermodynamics

Now, Click on Isentropic Expansion under Enthalpy

The screenshot below displays the page or activity to enter your values, to get the answer for the isentropic expansion according to the respective parameter which is the Internal Energy 1 (U1) and Internal Energy 2 (U2).

Now, enter the values appropriately and accordingly for the parameters as required by the Internal Energy 1 (U1is 14 and Internal Energy 2 (U2) is 8.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the isentropic expansion and presents the formula, workings and steps too.

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