How do you find radioactive decay half life?

Kendall Oneill

Kendall Oneill

Answered question

2022-05-18

How do you find radioactive decay half life?

Answer & Explanation

Oswaldo Rosales

Oswaldo Rosales

Beginner2022-05-19Added 16 answers

The radioactive decay half-life formula states that
N ( t ) = N 0 ( 1 2 ) t t 1 2
where
N(t) is the final amount of substance
N 0 is the initial amount of a substance
t is the time (usually in years or seconds)
t 1 2 is the half-life of the substance
To solve for half-life of a substance, rearrange the formula in terms of t 1 2
N ( t ) = N 0 ( 1 2 ) t t 1 2
N ( t ) N 0 = ( 1 2 ) t t 1 2 N ( t ) N 0 = ( 1 2 ) t t 1 2
log 1 2 [ N ( t ) N 0 ] = t t 1 2
t 1 2 = t log 1 2 [ N ( t ) N 0 ]

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