Consider a chemical reaction have one
reactant only

Differential rate expression may be
written as:

Separating same variable same side

On integrating by rule

By equation (1) and (2)

**Graphical representation:**

**Half life period:**

**Graphical representation:**

**Note : This formula do not valid for n=0 and n=1**

**ILLUSTRATIVE EXAMPLE (1) :**A graph plotted between

**log t**

_{50 }Vs log conc.^{ }(a)_{ }is a straight line what conclusion withdraw from the given graph?

**SOLUTION:**for a given reaction

**ILLUSTRATIVE EXAMPLE (1) :**What will be the order of reaction and rate constant for a chemical change having

**log t**

_{50 }Vs log conc.^{ }(a)_{ }curve as

**SOLUTION:**for a given reaction

**Case (1) n=2 i.e. 2**

^{nd}order chemical kinetics:**Graphical representation:**

**Half life period:**

**Graphical representation:**

**Case (2) n= 3 i.e. 3**

^{nd}order chemical kinetics:**Graphical representation:**

**Half life period:**

**Graphical representation:**

**Important kinetic expression for reaction of type as:**

**Graphs of various order:**

W h e r e

**[A]**= initial concentration

_{0}**[A]**= concentration at time t

**t**= time taken for initial concentration of reactant to finish by 50%

_{1/2 }**t**= time taken for initial concentration of reactant to finish by 75%

_{3/4}
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