ΔS isotérmica

ΔS = nR·ln(V₂/V₁).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

ΔS (J/K)
5,7628 J/K

About this calculator

The isothermal ideal gas entropy calculator is an online tool that allows you to calculate the change in entropy (ΔS) in an isothermal process, where the temperature remains constant. Entropy is a measure of the disorder or randomness of a system. In this type of process, the change in entropy is calculated based on the formula ΔS = nR·ln(V₂/V₁), where n is the number of moles of gas, R is the ideal gas constant, V₁ is the initial volume, and V₂ is the final volume.

The formula used is derived from classical thermodynamics and is valid for ideal gases undergoing isothermal expansion or compression. The isothermal process is important in various applications, such as refrigeration systems and thermal engines. The calculator is useful for students and professionals who need to perform quick and accurate calculations of entropy change in isothermal processes.

When using the calculator, it is essential to pay attention to the units of the variables. The number of moles (n) should be in moles (mol), the ideal gas constant (R) is approximately 8.314 J/(mol·K), and the initial and final volumes (V₁ and V₂) should be in the same unit of volume (e.g., liters or cubic meters). Additionally, it is crucial to ensure that the temperature remains constant during the process.

The change in entropy in an isothermal process is a measure of the change in the disorder of the system. If the final volume is greater than the initial volume, the entropy increases, indicating an increase in the disorder of the system. Conversely, if the final volume is smaller than the initial volume, the entropy decreases. This information is crucial for understanding the efficiency of thermodynamic processes and for designing more efficient systems.

Frequently asked questions

What is an isothermal process?

An isothermal process is a type of thermodynamic process in which the temperature remains constant. This means that the initial and final temperatures of the system are equal.

What is the importance of entropy in thermodynamic processes?

Entropy is a measure of the disorder or randomness of a system. In thermodynamic processes, the change in entropy is crucial for understanding the efficiency of the process and for designing more efficient systems.

How does the isothermal entropy calculator work?

The calculator uses the formula ΔS = nR·ln(V₂/V₁) to calculate the change in entropy. You need to input the number of moles of gas, the ideal gas constant, and the initial and final volumes.

What are the units of the variables in the formula?

The number of moles (n) should be in moles (mol), the ideal gas constant (R) is approximately 8.314 J/(mol·K), and the initial and final volumes (V₁ and V₂) should be in the same unit of volume (e.g., liters or cubic meters).

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