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Chemistry class 12th Pseudo_First_Order_Reactions

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A pseudo-first-order reaction is a reaction that appears to follow first-order kinetics but is actually of a higher order. This occurs when one reactant is present in excess, making its concentration nearly constant during the reaction. As a result, the rate law simplifies to a first-order equation. For example, in the hydrolysis of ethyl acetate (CH₃COOC₂H₅ + H₂O → CH₃COOH + C₂H₅OH), water is in large excess, so its concentration is considered constant, and the reaction follows pseudo-first-order kinetics. This simplification is useful in studying reaction mechanisms and determining rate constants more easily.

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Pseudo-First-Order Reactions




### Definition:
A pseudo-first-order reaction is a reaction that follows first-order kinetics
even though it involves more than one reactant. This happens when one reactant
is present in a large excess, making its concentration effectively constant
during the reaction.


### Difference Between First-Order and Pseudo-First-Order Reactions:
- A true first-order reaction involves only one reactant with a rate directly
proportional to its concentration.
- A pseudo-first-order reaction involves multiple reactants, but the reaction
behaves as first-order because one reactant is in excess.


### Mathematical Derivation:
For a reaction:
A + B -> Products


If B is in large excess, its concentration remains nearly constant. The rate law:
Rate = k[A][B]


Since [B] is constant, we define k' = k[B], so:
Rate = k'[A]


This follows first-order kinetics with respect to A.


### Examples:
1. **Hydrolysis of an Ester in Acidic Medium:**
CH3COOCH3 + H2O -> CH3COOH + CH3OH
Since water is in excess, the reaction follows pseudo-first-order kinetics.
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