There is a 44-gram sample of a certain element. If it takes 39.2 hours for 5 grams to be left. Determine the half-life of the element.Set up your equation with the values you determined in the table and using the half-life formula

Adison Rogers 2022-11-13 Answered
There is a 44-gram sample of a certain element. If it takes 39.2 hours for 5 grams to be left. Determine the half-life of the element.Set up your equation with the values you determined in the table and using the half-life formula
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Answers (1)

tektonikafrs
Answered 2022-11-14 Author has 15 answers
N = N 0 e λ t
N 0 = Initial amount of sample = 44 gram
N = Final amount at time 't'
5 = 44 e λ × 39.2 5 44 = e λ × 39.2 ln ( 0.1136 ) = ln e λ × 39.2 2.175 = λ × 39.2 λ = 2.175 39.2 = 0.055
Half life of element = ln 2 λ = ln 2 0.055
Half life = 12.6 hours
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