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A first-order reaction is 75% complete in 60 minutes. Determine the…
Question
A first-order reaction is 75% complete in 60 minutes. Determine the time (in minutes) required for the reaction to reach 99.9% completion, rounded to 2 decimal places.
✓ Verified answer: 298.97checked by our engine — not a guess
Step-by-step solution
For first order, k = (1/t) ln(1/(1-x)). From 75% in 60 min: k = ln(1/0.25)/60 = ln4/60 = 0.023105 per min. For 99.9%: t = ln(1/0.001)/k = ln(1000)/0.023105 = 6.9078/0.023105 = 298.97 min. Final answer: 298.97
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