Entropy Change for Isothermal Process given Volumes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)
ΔS = mgas*[R]*ln(Vf/Vi)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Change in Entropy - (Measured in Joule per Kilogram K) - Change in Entropy of the system for an irreversible path is the same as for a reversible path between the same two states.
Mass of Gas - (Measured in Kilogram) - Mass of Gas is the mass on or by which the work is done.
Final Volume of System - (Measured in Cubic Meter) - Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.
Initial Volume of System - (Measured in Cubic Meter) - Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.
STEP 1: Convert Input(s) to Base Unit
Mass of Gas: 2 Kilogram --> 2 Kilogram No Conversion Required
Final Volume of System: 13 Cubic Meter --> 13 Cubic Meter No Conversion Required
Initial Volume of System: 11 Cubic Meter --> 11 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔS = mgas*[R]*ln(Vf/Vi) --> 2*[R]*ln(13/11)
Evaluating ... ...
ΔS = 2.7779298842834
STEP 3: Convert Result to Output's Unit
2.7779298842834 Joule per Kilogram K --> No Conversion Required
FINAL ANSWER
2.7779298842834 2.77793 Joule per Kilogram K <-- Change in Entropy
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
Rushi Shah has created this Calculator and 25+ more calculators!
Verifier Image
Verified by Mayank Tayal
National Institute of Technology (NIT), Durgapur
Mayank Tayal has verified this Calculator and 10+ more calculators!

Entropy Generation Calculators

Entropy Change at Constant Volume
​ LaTeX ​ Go Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1)
Entropy Change at Constant Pressure
​ LaTeX ​ Go Entropy Change Constant Pressure = Heat Capacity Constant Pressure*ln(Temperature of Surface 2/Temperature of Surface 1)-[R]*ln(Pressure 2/Pressure 1)
Entropy Change Variable Specific Heat
​ LaTeX ​ Go Entropy Change Variable Specific Heat = Standard Molar Entropy at Point 2-Standard Molar Entropy at Point 1-[R]*ln(Pressure 2/Pressure 1)
Entropy Balance Equation
​ LaTeX ​ Go Entropy Change Variable Specific Heat = Entropy of System-Entropy of Surrounding+Total Entropy Generation

Thermodynamics Factor Calculators

Entropy Change in Isobaric Processin Terms of Volume
​ LaTeX ​ Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Volume of System/Initial Volume of System)
Entropy Change for Isochoric Process given Pressures
​ LaTeX ​ Go Entropy Change Constant Volume = Mass of Gas*Specific Molar Heat Capacity at Constant Volume*ln(Final Pressure of System/Initial Pressure of System)
Entropy Change in Isobaric Process given Temperature
​ LaTeX ​ Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Temperature/Initial Temperature)
Specific Heat Capacity at Constant Pressure using Adiabatic Index
​ LaTeX ​ Go Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1)

Entropy Change for Isothermal Process given Volumes Formula

​LaTeX ​Go
Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)
ΔS = mgas*[R]*ln(Vf/Vi)

What is entropy generation?

The value of entropy generation cannot be negative, however the changes in entropy of the system may be positive, negative or zero. The entropy of an isolated system during an irreversible process always increases, which is called the increase of entropy principle. Entropy change can be determined without detailed information of the process. For a reversible process the entropy generation is zero, and the entropy change of a system is equal to the net entropy transfer. The entropy balance is analogous to energy balance relation.

How to Calculate Entropy Change for Isothermal Process given Volumes?

Entropy Change for Isothermal Process given Volumes calculator uses Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System) to calculate the Change in Entropy, Entropy Change for Isothermal Process given Volumes formula is defined as a measure of the change in disorder or randomness of a gas during an isothermal process, based on the initial and final volumes of the gas. Change in Entropy is denoted by ΔS symbol.

How to calculate Entropy Change for Isothermal Process given Volumes using this online calculator? To use this online calculator for Entropy Change for Isothermal Process given Volumes, enter Mass of Gas (mgas), Final Volume of System (Vf) & Initial Volume of System (Vi) and hit the calculate button. Here is how the Entropy Change for Isothermal Process given Volumes calculation can be explained with given input values -> 2.77793 = 2*[R]*ln(13/11).

FAQ

What is Entropy Change for Isothermal Process given Volumes?
Entropy Change for Isothermal Process given Volumes formula is defined as a measure of the change in disorder or randomness of a gas during an isothermal process, based on the initial and final volumes of the gas and is represented as ΔS = mgas*[R]*ln(Vf/Vi) or Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System). Mass of Gas is the mass on or by which the work is done, Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place & Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.
How to calculate Entropy Change for Isothermal Process given Volumes?
Entropy Change for Isothermal Process given Volumes formula is defined as a measure of the change in disorder or randomness of a gas during an isothermal process, based on the initial and final volumes of the gas is calculated using Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System). To calculate Entropy Change for Isothermal Process given Volumes, you need Mass of Gas (mgas), Final Volume of System (Vf) & Initial Volume of System (Vi). With our tool, you need to enter the respective value for Mass of Gas, Final Volume of System & Initial Volume of System and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!