Discussion Forum : Chemical Kinetics
Question -


A first order reaction is half completed in 45 minutes. How long does it need for 99.9% of the reaction to be completed?

Options:
A .   20 hours
B .   10 hours
C .   7.5 hours
D .   5 hours
Answer: Option C
:
C
Each half life would reduce the concentration to half of its original value. So, 99.9% completion takes place in 10 half-lives. Remember 210=1024 and 1/10240.001
Hence time taken = 45 × 10 minutes = 450 minutes = 7.5 hours.
 

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