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Question

Choose the correct option regarding first order reaction:

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Solution

Since [A]=[A]0ekt
Here
[A]0 is the intial concentration.
[A] is the concentration at time t
Now, at t=t12 ,[A]=[A]02
Putting the value in equation:
[A]02=[A]0ekt12
Solving,
t12=ln2k
So half life for first order does not depend on the concentration of the reactants.

Average Life for First Order Reaction (tav)=1k

Time of completion of reaction:
Since [A]=[A]0ekt
At completion, reactant concentration will be zero.
[A]=0
0=[A]0ekt
ekt=0
t=

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