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

Answer:

$a_{n}$=209.09 mg

Step-by-step 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}$

$n=\frac{2000}{1590} = 1.2578$

therefore

$a_{n}$ = $500\times0.5^{1.2578}$

$a_{n}$=209.09058407921 mg

$a_{n}$=209.09 mg amount left after 2000 years