Entropy Change for Isothermal Process given Volumes Calculator

✖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]

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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)

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Created by Rushi Shah

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

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National Institute of Technology (NIT), Durgapur

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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 formula is defined as a thermodynamic property that measures the change in the total entropy of a system during an isothermal process, where the system undergoes a change in volume from an initial to a final state, with the temperature remaining constant. 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 formula is defined as a thermodynamic property that measures the change in the total entropy of a system during an isothermal process, where the system undergoes a change in volume from an initial to a final state, with the temperature remaining constant 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 formula is defined as a thermodynamic property that measures the change in the total entropy of a system during an isothermal process, where the system undergoes a change in volume from an initial to a final state, with the temperature remaining constant 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.

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