
(a)
Interpretation:
An
Concept introduction:
Rate law for the nth order is given below,
(a)

Explanation of Solution
Rate law for the nth order is given below,
Here,
Initial concentration of reactant is
Rate constant of the reaction is
The reaction is rearranged,
The reaction is integrated,
An
(b)
Interpretation:
Time for the concentration of a substance to fall to one·third the initial value in an nth·order reaction has to be derived.
Concept introduction:
Balancing reaction:
Refer to part (a)
(b)

Explanation of Solution
Half-life of the reaction is t1/2.
Half-life of the nth order reaction is given below,
Lets,
Therefore,
Time is calculated when the concentration of a substance to fall to one third the initial value in an nth·order reaction.
Time for the concentration of a substance to fall to one·third the initial value in an nth·order reaction is shown.
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Chapter 17 Solutions
Atkins' Physical Chemistry
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