What Is the Intuitive Reason Behind the Law of Mass Action and Equilibrium?

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The Law of Mass Action describes the relationship between the concentrations of reactants and products at equilibrium, where the stoichiometric coefficients in a balanced chemical equation serve as exponents in the equilibrium expression. While textbooks often present this law as an empirical observation without delving into its theoretical underpinnings, there are intuitive explanations rooted in thermodynamics and kinetics. Thermodynamically, the law can be understood through the concept of free energy minimization, while a kinetic approach considers the rates of forward and reverse reactions reaching a balance. However, these explanations may be complex for beginners, highlighting a gap in accessible resources for those new to chemistry.
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Ok, I've always wondered, is there any explanation behind the Law of Mass Action? In my textbook, the law is just described as being an example of the empirical nature of chemistry, and no reason for why that describes the equilibrium condition is given. Is there an intuitive reason why the stoichiometric coefficients would be the exponents to the coefficients in the equilibrium equation? If there is, I fail to see it.
 
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Reasons become more or less obvious when you treat the system using thermodynamics. For simple systems it can be also explained using kinetic approach to equilibrium. But there is probably no simple explanation that can be used by someone just starting to learn chemistry.
 

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