Entropy Change for Isothermal Process given Volumes Calculator

↳

⤿

Basics

Air Conditioning Systems

Air Refrigeration Cycles

Air Refrigeration Systems

Condensers

Ducts

Psychrometry

Refrigerant Compressors

Simple Vapour Compression Refrigeration Systems

✖Mass of Gas is the mass on or by which the work is done.ⓘ Mass of Gas [m_gas]			+10% -10%
✖Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.ⓘ Final Volume of System [V_f]			+10% -10%
✖Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.ⓘ Initial Volume of System [V_i]			+10% -10%

✖Change in Entropy of the system for an irreversible path is the same as for a reversible path between the same two states.ⓘ Entropy Change for Isothermal Process given Volumes [ΔS]

⎘ Copy

👎

Formula

✖

Entropy Change for Isothermal Process given Volumes

Formula

`"ΔS" = "m"_{"gas"}*"[R]"*ln("V"_{"f"}/"V"_{"i"})`

Example

`"2.77793J/kg*K"="2kg"*"[R]"*ln("13m³"/"11m³")`

Calculator

LaTeX

Reset

👍

Download Refrigeration and Air Conditioning Formula PDF

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 = m_gas*[R]*ln(V_f/V_i)
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 = m_gas*[R]*ln(V_f/V_i) --> 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)

You are here -

Home » Physics » Refrigeration and Air Conditioning » Basics » Entropy Change for Isothermal Process given Volumes

Credits

Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has created this Calculator and 25+ more calculators!

Verified by Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has verified this Calculator and 10+ more calculators!

< 11 Basics Calculators

Entropy Change in Isobaric Processin Terms of Volume

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

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Pressure of System/Initial Pressure of System)

Entropy Change in Isobaric Process given Temperature

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Temperature/Initial Temperature)

Entropy Change for Isochoric Process given Temperature

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Temperature/Initial Temperature)

Work Done in Adiabatic Process given Adiabatic Index

Go Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)

Entropy Change for Isothermal Process given Volumes

Go Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Isobaric Work for given Mass and Temperatures

Go Isobaric Work = Amount of Gaseous Substance in Moles*[R]*(Final Temperature-Initial Temperature)

Isobaric Work for given Pressure and Volumes

Go Isobaric Work = Absolute Pressure*(Final Volume of System-Initial Volume of System)

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Mass Flow Rate in Steady Flow

Go Mass Flow Rate = Cross Sectional Area*Fluid Velocity/Specific Volume

< 16 Entropy Generation Calculators

Entropy Change at Constant Volume

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

Go Entropy Change Constant Pressure = Heat Capacity Constant Pressure*ln(Temperature of Surface 2/Temperature of Surface 1)-[R]*ln(Pressure 2/Pressure 1)

Irreversibility

Go Irreversibility = (Temperature*(Entropy at point 2-Entropy at point 1)-Heat input/Input Temperature+Heat output/Output Temperature)

Entropy Change Variable Specific Heat

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 Change in Isobaric Processin Terms of Volume

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

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Pressure of System/Initial Pressure of System)

Entropy Change in Isobaric Process given Temperature

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Temperature/Initial Temperature)

Entropy Change for Isochoric Process given Temperature

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Temperature/Initial Temperature)

Entropy Change for Isothermal Process given Volumes

Go Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)

Entropy Balance Equation

Go Entropy Change Variable Specific Heat = Entropy of System-Entropy of Surrounding+Total Entropy Generation

Temperature using Helmholtz Free Energy

Go Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy

Entropy using Helmholtz Free Energy

Go Entropy = (Internal Energy-Helmholtz Free Energy)/Temperature

Internal Energy using Helmholtz Free Energy

Go Internal Energy = Helmholtz Free Energy+Temperature*Entropy

Helmholtz Free Energy

Go Helmholtz Free Energy = Internal Energy-Temperature*Entropy

Gibbs Free Energy

Go Gibbs Free Energy = Enthalpy-Temperature*Entropy

Specific Entropy

Go Specific Entropy = Entropy/Mass

Entropy Change for Isothermal Process given Volumes Formula

Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)
ΔS = m_gas*[R]*ln(V_f/V_i)

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 is defined as the change in the state of disorder of a thermodynamic system that is associated with the conversion of heat or enthalpy into work. 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 (m_gas), Final Volume of System (V_f) & Initial Volume of System (V_i) 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 is defined as the change in the state of disorder of a thermodynamic system that is associated with the conversion of heat or enthalpy into work and is represented as ΔS = m_gas*[R]*ln(V_f/V_i) 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 is defined as the change in the state of disorder of a thermodynamic system that is associated with the conversion of heat or enthalpy into work 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 (m_gas), Final Volume of System (V_f) & Initial Volume of System (V_i). 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.

Home

FREE PDFs

🔍 Search