If the half-life of an element is 430 years & you had 2000 of this element, how long will it take to be stable

Answer 1

1.44*430= average life

Answer 2

430 years. The concept of half-life relies on a lot of radioactive atoms being present. As an example, imagine you could see inside a bag of popcorn as you heat it inside your microwave oven. While you could not predict when (or if) a particular kernel would "pop," you would observe that after 2-3 minutes, all the kernels that were going to pop had in fact done so. In a similar way, we know that, when dealing with a lot of radioactive atoms, we can accurately predict when one-half of them have decayed, even if we do not know the exact time that a particular atom will do so.

Answer 3

First you must know if the element formed is stable. Suppose it is
Then you can write

So 2000 nuclei must desintegrate

2000 is approximately 2*10^11
So you must wait 11 half life = 4730 years