A mathematical approach to chemical equilibrium theory for gaseous systems IV: a mathematical clarification of Le Chatelier's principle

Chemical equilibrium is usually discussed via a thermodynamic treatment but this does not automatically provide enough mathematical tools to be successful. A complementary mathematical approach was developed in a series of previous papers to reveal the inner logic in equilibrium shift for gaseous systems. Le Chatelier's principle is reconsidered with this approach and a system has been developed in order to fully address the application of this principle and the dangers of using it without due consideration. In this study it is demonstrated that, more often than not, real conceptual understanding can only be achieved through mathematical derivations which help to build a more rigorous and abstract understanding. The image of chemistry can be improved by introducing more mathematics into elementary chemistry. Real chemical education delves into curricular contents and offers deep insight into chemistry which provides crucial assistance to chemical teachers and benefits students.