A mathematical approach to chemical equilibrium theory for gaseous systems—II: extensions and applications
 Ying Liu,
 Yue Liu,
 Michael G. B. Drew
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Straightforward mathematical techniques are used innovatively to form a coherent theoretical system to deal with chemical equilibrium problems. For a systematic theory it is necessary to establish a system to connect different concepts. This paper shows the usefulness and consistence of the system by applications of the theorems introduced previously. Some theorems are shown somewhat unexpectedly to be mathematically correlated and relationships are obtained in a coherent manner. It has been shown that theorem 1 plays an important part in interconnecting most of the theorems. The usefulness of theorem 2 is illustrated by proving it to be consistent with theorem 3. A set of uniform mathematical expressions are associated with theorem 3. A variety of mathematical techniques based on theorems 1–3 are shown to establish the direction of equilibrium shift. The equilibrium properties expressed in initial and equilibrium conditions are shown to be connected via theorem 5. Theorem 6 is connected with theorem 4 through the mathematical representation of theorem 1.
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 Title
 A mathematical approach to chemical equilibrium theory for gaseous systems—II: extensions and applications
 Journal

Journal of Mathematical Chemistry
Volume 51, Issue 2 , pp 741762
 Cover Date
 20130201
 DOI
 10.1007/s1091001201094
 Print ISSN
 02599791
 Online ISSN
 15728897
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Systematics
 Traditional fields
 Equilibrium theory
 Chemical education
 Industry Sectors
 Authors

 Ying Liu ^{(1)}
 Yue Liu ^{(1)}
 Michael G. B. Drew ^{(2)}
 Author Affiliations

 1. College of Chemistry and Life Science, Shenyang Normal University, Shenyang, 110034, People’s Republic of China
 2. School of Chemistry, The University of Reading, Whiteknights, Reading, RG6 6AD, UK