Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives

The calculations of the change in the gas state are critical in most engineering applications. Generally, engineers and scientists use Boyle-Charles-Gay Lussac's (B-C-G) law of P1V1/T1 = P2V2/T2 to calculate pressure (P), volume (V), and temperature (T) of gases and vapors. Although the B-C-G l...

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Main Authors: Sedong Kim, Soon-Ho Choi
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123024020127
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author Sedong Kim
Soon-Ho Choi
author_facet Sedong Kim
Soon-Ho Choi
author_sort Sedong Kim
collection DOAJ
description The calculations of the change in the gas state are critical in most engineering applications. Generally, engineers and scientists use Boyle-Charles-Gay Lussac's (B-C-G) law of P1V1/T1 = P2V2/T2 to calculate pressure (P), volume (V), and temperature (T) of gases and vapors. Although the B-C-G law provides accurate gas properties of P-V-T, it does not give any specific information about the process of a state change by which gases and vapors change their state. In this study, the authors performed, for the first time, the theoretical integrations of the partial derivatives obtained from the differentiation of the B-C-G law. The findings from this study were thoroughly compared with experimental data. It was verified that the integration methods proposed in this study provided the detailed analysis on the differential properties of ΔP, ΔV, and ΔT accurately. Furthermore, the stepwise analysis of the integration of the partial derivatives revealed that the state changes of gases inherently involve energy loss, which can be defined as the efficiency. In other words, this study demonstrated that the state changes of all matters include energy loss, and it is a natural phenomenon. Therefore, it can be said that this study suggests the theoretical method to select the most efficient process for the state change of a material.
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spelling doaj-art-1770e6b8734547c28b914d2c33caa77e2025-01-08T04:53:23ZengElsevierResults in Engineering2590-12302025-03-0125103769Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivativesSedong Kim0Soon-Ho Choi1Carbon Neutral Technology R&D Department, Research Institute of Clean Manufacturing System, KITECH, Cheonan-si, Chungcheongnam-do 31056, Republic of KoreaDivision of Marine System. Engineering, Korea Maritime and Ocean University, Yeongdo-Gu, Busan 49112, Republic of Korea; Corresponding author.The calculations of the change in the gas state are critical in most engineering applications. Generally, engineers and scientists use Boyle-Charles-Gay Lussac's (B-C-G) law of P1V1/T1 = P2V2/T2 to calculate pressure (P), volume (V), and temperature (T) of gases and vapors. Although the B-C-G law provides accurate gas properties of P-V-T, it does not give any specific information about the process of a state change by which gases and vapors change their state. In this study, the authors performed, for the first time, the theoretical integrations of the partial derivatives obtained from the differentiation of the B-C-G law. The findings from this study were thoroughly compared with experimental data. It was verified that the integration methods proposed in this study provided the detailed analysis on the differential properties of ΔP, ΔV, and ΔT accurately. Furthermore, the stepwise analysis of the integration of the partial derivatives revealed that the state changes of gases inherently involve energy loss, which can be defined as the efficiency. In other words, this study demonstrated that the state changes of all matters include energy loss, and it is a natural phenomenon. Therefore, it can be said that this study suggests the theoretical method to select the most efficient process for the state change of a material.http://www.sciencedirect.com/science/article/pii/S2590123024020127Efficiency of the state changeIdeal gas lawIntegration of partial derivativesMaxwell's relation
spellingShingle Sedong Kim
Soon-Ho Choi
Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
Results in Engineering
Efficiency of the state change
Ideal gas law
Integration of partial derivatives
Maxwell's relation
title Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
title_full Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
title_fullStr Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
title_full_unstemmed Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
title_short Information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
title_sort information hidden in the state change of a gas obtained from the theoretical integrations of the partial derivatives
topic Efficiency of the state change
Ideal gas law
Integration of partial derivatives
Maxwell's relation
url http://www.sciencedirect.com/science/article/pii/S2590123024020127
work_keys_str_mv AT sedongkim informationhiddeninthestatechangeofagasobtainedfromthetheoreticalintegrationsofthepartialderivatives
AT soonhochoi informationhiddeninthestatechangeofagasobtainedfromthetheoreticalintegrationsofthepartialderivatives