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 ela

Question

Allushta [10]

2 years ago

11

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 ela

psed after three half-lives?

Mathematics

1 answer:

damaskus [11] · Answer 1 · 2023-10-05T05:45:54+03:00

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

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

<em>t</em> = time passed
<em>a</em> = y-intercept
<em>h</em> = half life

<h2>Solving the Question</h2>

We're given:

<em>h</em> = 28 million years
<em>a</em> = 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

<h2>Answer</h2>

84 million years