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Class 12
Chemistry
Chemical Kinetics
for a first order reaction show that time require...

Question:
For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.

Answer:

For a first order reaction, the time required for 99% completionis

t₁= 2.303/k Log 100/100-99

= 2.303/k Log 100

= 2x 2.303/k

For a first order reaction, the time required for 90% completion is

t₂= 2.303/k Log 100/100-90

= 2.303/k Log 10

= 2.303/k

Therefore, t₁= 2t₂

Hence, the time required for 99% completion of a first order reaction is twice the time required for the completion of 90% of the reaction.

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Question:
For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.