Question

The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 2000 years? Preview mg Give your answer accurate to at least 2 decimal places. Get help: Video Video

Answer 1

`a_(n)`=209.09 mg

Explanation:

given: material= radium

half life= 1590 years

initial mass
`a_(0)` =500mg

we know that to calculate the amount left we use

`a_(n)` =
`a_(0)`
`\left ( 0.5\right )^(n)`

`n=(2000)/(1590) = 1.2578`

therefore

`a_(n)` =
`500*0.5^(1.2578)`

`a_(n)`=209.09058407921 mg

`a_(n)`=209.09 mg amount left after 2000 years