lesliesantos367 lesliesantos367
  • 15-07-2021
  • Chemistry
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If the half-life of a radioactive substances is 590 million years and you have 40 atoms of it, how many half-lives will have passed when 5 atoms remain

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asuwafohjames
asuwafohjames asuwafohjames
  • 20-07-2021

Answer:

3

Explanation:

Applying,

[tex]2^{n'}[/tex] = R/R'............... Equation 1

Where n' = number of halflives that have passed, R = Original atom of the substance, R' = atom of the substance left after decay.

From the question,

Given: R = 40 atoms, R' = 5 atoms

Substitute these values into equation 1

[tex]2^{n'}[/tex] = 40/5

[tex]2^{n'}[/tex] = 8

[tex]2^{n'}[/tex] = 2³

Equation the base,

n' = 3

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