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Equilibrium

Question
CBSEENCH11006361

State and explain the law of mass action.

Solution

The law of mass action (Guldberg and Waage) may be stated as:
The rate at which a substance reacts is directly proportional to its active mass (molar concentration) and the rate of chemical reaction is proportional to the product of active masses of the reacting substances.
By the term active mass, we mean molar concentration or number of moles per litre. The active mass of A is denoted as [A].
Consider a simple reaction A rightwards arrow Product
According to the law of mass action,
Rate of reaction proportional to open square brackets straight A close square brackets space equals space straight k open square brackets straight A close square brackets
where [A] represents the active mass of A, k is proportionality constant known as velocity constant. The velocity constant is also called velocity co-efficient or rate constant or specific reaction rate.
For space the space reaction semicolon space space straight A space plus space straight B space rightwards arrow space space space Products
According to the law of mass action,
Rate of the reaction proportional to space open square brackets straight A close square brackets space open square brackets straight B close square brackets space equals space straight k open square brackets straight A close square brackets space open square brackets straight B close square brackets
For space straight a space reaction space 2 straight A plus straight B space rightwards arrow space space Products
or space space space space space straight A plus straight A plus straight B space rightwards arrow space space space Products
Rate space of space the space reaction space equals space straight k open square brackets straight A close square brackets space open square brackets straight A close square brackets space open square brackets straight B close square brackets
space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight k open square brackets straight A close square brackets squared open square brackets straight B close square brackets space space space space space space space space space space space space space space space space space space
For a general reaction,
aA plus bB plus cC space plus rightwards arrow space space Products
According to the law of mass action, 
Rate of the reaction = equals space straight k open square brackets straight A close square brackets to the power of straight a space open square brackets straight B close square brackets to the power of straight b space open square brackets straight C close square brackets to the power of straight c
Hence the law of mass action may also be stated as the rate of the reaction is proportional to the product of the active masses (or molar concentration) of reactants with each active mass raised to the power equal to the number of molecules of the respective reactants participating in the reaction.