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percentage of a radioactive sample that remains after four half-lives have passed is 6.25 %

As radioactive substances are first-order reactions and first-order reactions have a constant half-life and are represented by t1/2.

t1/2 = 0.693 / λ

half-life is the time period for the sample to become half of its original concentration

so for 1 st half-life, the substance will become 100 / 2 =50%

for 2 nd half-life, the substance will become 50 / 2 = 25%

for 3 rd half-life, the substance will become 25 / 2 = 12.5%

for 4 th half-life, the substance will become 12.5 / 2 = 6.25%

percentage of a radioactive sample that remains after four half-lives have passed is 6.25 %

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