Q. If the half-life ($t_{1/2}$) for a first order reaction is 1 minute, then the time required for 99.9% completion of the reaction is closet to:

A) 2 minutes
B) 4 minutes
C) 5 minutes
D) 10 minutes
Explanation

[Solution by Claude - not from source] $t=\frac{2.303}{k}\log\frac{100}{0.1}=\frac{2.303\times3}{0.693}\approx10$ min (about 10 half-lives, as $2^{10}\approx1000$). Answer (4).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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