The isentropic expansion is illustrated by the image below. To calculate 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 = u1Â – u2
Where:
W = Isentropic Expansion
u1Â = Internal Energy 1
u2Â = 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 = u1Â – u2
So, 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 are Given
u1 = W + u2
Where:
u1Â = Internal Energy 1
W = Isentropic Expansion
u2Â = 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;
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W = Isentropic Expansion = 21
u2 = Internal Energy 2 = 4
That is, u1 = W + u2
u1 = 21 + 4
u1 = 25
Therefore, the internal energy 1 is 25.
Read more:Â How to Calculate and Solve for Internal Energy of Steam | Enthalpy
Calculating the Internal Energy 2 when the Isentropic Expansion and the Internal Energy 1 are Given
u2 = u1 – W
Where:
u2Â = 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
So, u2 = 28 – 10
u2 = 18
Therefore, the internal energy 2 is 18.
Read more:Â How to Calculate and Solve for Internal Energy of Steam (wet steam) | Enthalpy
How to Calculate Isentropic Expansion With Nickzom Calculator
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
That is, 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 (U1) is 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.