A certain substance has a half-life of 4 minutes. A fresh sample of the substance weighing 90 mg was obtained. After how many minutes will there be 23 mg of the substance remaining?
1 answer
Question:
A certain substance has a half-life of 4 minutes. A fresh sample of the substance weighing 90 mg was obtained. After how many minutes will there be 23 mg of the substance remaining?
Answers
The half life of a substance is the time i takes for the radioactive component for a substance to decay or disintegrate to half of its initial size.We are to find the time (number of minutes) is would take for 23 mg of the substance to be remaining.The formula for time is written as: t = [t1/2 x In(Nt/No)] / In 2where: t1/2 = Half life = 4 minutesNo = Initial quantity of the sample = 90 mgNt = Amount of the sample left = 23 mgt = time elapsed = ?Hence, t = [4 x In (23/90)] / -In 2t = 7.8731645610906 minutesApproximately to the nearest hundredth = 7.87 minutesTherefore, there will be 23mg of substance remaining after 7.87 minutes.To learn more, visit the link below:https://brainly.com/question/16624562
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