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How long will it take for a 12.0-g sample of iodine-131 to decay to leave a total of 1.50 g of the isotope The half-life of iodine-131 is 8.07 days?
Wiki User
∙ 6y ago
half life is 8.1 days, so it takes 8.1 days for half the iodine sample to decay. It takes another 8.1 days for half of the remaining sample (ie. 1/4th of the original sample) to decay. So it takes 16.2 days for 3/4th of the sample to decay.
Wiki User
∙ 10y ago
Wiki User
∙ 6y agoFraction remaining = 0.5^n where n = # of half lives elapsed1.50 g/12.0 g = 0.125 = fraction remaining
0.125 = 0.5^n
n = 3 meaning 3 half lives have elapsed
3 half lives x 8.07 days/half life = 24.21 days
So, it will take 24.21 days or 24 days and 5 hours
Wiki User
∙ 6y agoFraction remaining = 0.5^n where n = the number of half lives that have elapsed.Fraction remaining = 1.5 g/12.0 g = 0.125
0.125 = 0.5^n
log 0.125 = n log 0.5
n = 3 half lives
3 half lives x 8.07 days/half life = 24.2 days
Wiki User
∙ 13y agoassuming the Q is 'What is the half ... ....
I-131 has a half life of 8.041 d.
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