If the half-life (t1/2) for a first order reaction is1 minute, then the time required for 99.9%completion of the reaction is closet to:(1) 2 minutes (2) 4 minutes(3) 5 minutes (4) 10 minutes

May 27, 2025

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Chemistry

First Order Reaction Time Calculation

Kt = 2.303 log (a / (a – x))

(0.693 / t_1/2) × t = 2.303 log (100 / (100 – 99.9))

(0.693 / 1) × t = 2.303 log (100 / 0.1)

t = (2.303 / 0.693) log(10³)

t = (2.303 / 0.693) × 3 log(10)

t = 10 min

First Order Reaction Time Calculation