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A rock sample containing an isotope with a half-life of 28 million years has an initial mass of 184 grams. how much time has elapsed after three half-lives?

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Theleangreenbeanidn

Half Life

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

[tex]f(t)=a\times(1/2)^{\frac{t}{h}}[/tex]

  • t = time passed
  • a = y-intercept
  • h = half life

Solving the Question

We're given:

  • h = 28 million years
  • a = 184 grams (this is the initial mass, after 0 time has passed)

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

Answer

84 million years

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