Consider a chemical reaction have one
reactant only
Half life period:
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 t50
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 t50 Vs log conc. (a) curve as
SOLUTION: for a given reaction
Case (1) n=2 i.e. 2nd order chemical kinetics:
Graphical representation:
Half life period:
Graphical representation:
Case (2) n= 3 i.e. 3nd order chemical kinetics:
Graphical representation:
Graphical representation:
Important kinetic expression for
reaction of type as:
Graphs of various order:
W h e r e
[A]0 = initial concentration
[A] =
concentration at time t
t1/2 = time taken for initial concentration of
reactant to finish by 50%
t 3/4 = time taken for initial concentration of
reactant to finish by 75%
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