The half-life for the radioactive decay of C-14 is 5730 years.How long will it take for 30% of the C-14 atoms in a sample of C-14 to decay?

bortefterxq5l

bortefterxq5l

Answered question

2023-02-26

The half-life for the radioactive decay of C-14 is 5730 years.How long will it take for 30% of the C-14 atoms in a sample of C-14 to decay?

Answer & Explanation

Izaiah Bean

Izaiah Bean

Beginner2023-02-27Added 6 answers

t 1 2 = 5730 y
λ = ln 2 t 1 2 = ln 2 5730 = 1.21 10 - 4 y - 1
m ( t ) = m 0 e λ t
m ( t ) m 0 = e λ t
λ t = ln ( m ( t ) m 0 )
t = 1 λ ln ( m ( t ) m 0 )
t = 1 1.21 10 - 4 ln ( 0.7 ) = 2948.5 y

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