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Question
The time of completion of 90% of a first order reaction is approximately ____________.
Options
1.1 times that of half life
2.2 times that of half life
3.3 times that of half life
4.4 times that of half life
MCQ
Fill in the Blanks
Solution
The time of completion of 90% of a first order reaction is approximately 3.3 times that of half life.
Explanation:
For a first order reaction,
k = `2.303/"t" log "a"/(("a" - "x"))`
t = `2.303/"k" log 100/((100 - 90))`
= `(2.303 xx "t"_(1//2))/0.693 xx log 100/10`
= `3.3 xx "t"_(1//2) xx log 10`
= `3.3 "t"_(1//2)`
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