Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior

This paper focuses on differentiating between ideal and non-ideal chemical systems based on their kinetic behavior within a closed isothermal chemical environment. Non-ideality is examined using the non-ideal Marcelin–de Donde model. The analysis primarily addresses ‘soft’ non-ideality, where the eq...

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Main Authors: Gregory Yablonsky, Vladislav Fedotov
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/27/1/77
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author Gregory Yablonsky
Vladislav Fedotov
author_facet Gregory Yablonsky
Vladislav Fedotov
author_sort Gregory Yablonsky
collection DOAJ
description This paper focuses on differentiating between ideal and non-ideal chemical systems based on their kinetic behavior within a closed isothermal chemical environment. Non-ideality is examined using the non-ideal Marcelin–de Donde model. The analysis primarily addresses ‘soft’ non-ideality, where the equilibrium composition for a reversible non-ideal chemical system is identical to the corresponding composition for the ideal chemical system. Our approach in distinguishing the ideal and non-ideal systems is based on the properties of the special event, i.e., event, the time of which is well-defined. For the single-step first-order reaction in the ideal system, this event is the half-time-decay point, or the intersection point. For the two consecutive reversible reactions in the ideal system, A ↔ B ↔ C, this event is the extremum obtained within the conservatively perturbed equilibrium (CPE) procedure. For the non-ideal correspondent models, the times of chosen events significantly depend on the initial concentrations. The obtained difference in the behavior of the times of these events (intersection point and CPE-extremum point) between the ideal and non-ideal systems is proposed as the kinetic fingerprint for distinguishing these systems.
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spelling doaj-art-62fe75723bc147ebacf17479e0db1ce82025-01-24T13:31:55ZengMDPI AGEntropy1099-43002025-01-012717710.3390/e27010077Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic BehaviorGregory Yablonsky0Vladislav Fedotov1Department of Energy, Environmental and Chemical Engineering, McKelvey School of Engineering, Washington University in St Louis, St. Louis, MO 63130, USADepartment of Information Systems, Chuvash State University, Moskovsky pr. 15, 428015 Cheboksary, RussiaThis paper focuses on differentiating between ideal and non-ideal chemical systems based on their kinetic behavior within a closed isothermal chemical environment. Non-ideality is examined using the non-ideal Marcelin–de Donde model. The analysis primarily addresses ‘soft’ non-ideality, where the equilibrium composition for a reversible non-ideal chemical system is identical to the corresponding composition for the ideal chemical system. Our approach in distinguishing the ideal and non-ideal systems is based on the properties of the special event, i.e., event, the time of which is well-defined. For the single-step first-order reaction in the ideal system, this event is the half-time-decay point, or the intersection point. For the two consecutive reversible reactions in the ideal system, A ↔ B ↔ C, this event is the extremum obtained within the conservatively perturbed equilibrium (CPE) procedure. For the non-ideal correspondent models, the times of chosen events significantly depend on the initial concentrations. The obtained difference in the behavior of the times of these events (intersection point and CPE-extremum point) between the ideal and non-ideal systems is proposed as the kinetic fingerprint for distinguishing these systems.https://www.mdpi.com/1099-4300/27/1/77non-ideal chemical systemsMarcelin–de Donde kineticone- and two-step mechanismintersection pointCPE-extremum pointfingerprint
spellingShingle Gregory Yablonsky
Vladislav Fedotov
Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior
Entropy
non-ideal chemical systems
Marcelin–de Donde kinetic
one- and two-step mechanism
intersection point
CPE-extremum point
fingerprint
title Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior
title_full Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior
title_fullStr Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior
title_full_unstemmed Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior
title_short Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior
title_sort distinguishing ideal and non ideal chemical systems based on kinetic behavior
topic non-ideal chemical systems
Marcelin–de Donde kinetic
one- and two-step mechanism
intersection point
CPE-extremum point
fingerprint
url https://www.mdpi.com/1099-4300/27/1/77
work_keys_str_mv AT gregoryyablonsky distinguishingidealandnonidealchemicalsystemsbasedonkineticbehavior
AT vladislavfedotov distinguishingidealandnonidealchemicalsystemsbasedonkineticbehavior