The element aopsium has a half-life of 120 years. after a certain sample of aopsium was stored for 600 years, only 7 grams was left. how many grams were in the original sample?

Initial amount of the element taken was 224 grams.

Step-by-step explanation:

Half life of the element AoPSium is 120 years.

We know the radioactive decay is represented by the formula

where A(t) = Element remaining after time t

A(0) = Initial amount

t = time in years

k = decay constant

Now we take natural log on both the sides of the equation

-0.69314 = - 120k

k =

k = 0.005776

Now we have to calculate the amount taken of the element after 600 years when amount remaining was 7 grams.

7 =

7 =

grams

Therefore, Initial amount of the element taken was 224 grams.

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