Question

Radium-226 has a half life of 1622 years. If you start off with a 200

Answer 1

Answer:

≈23.6 kg left.

Step-by-step explanation:

For determining this, we can simply use an exponential decay equation representing this scenario:

$y= a(0.5)^{\frac{t}{h} }$

a: the initial amount

t: the amount of time

h: the half life

Now, substitute the numbers into the equation:

$y=200(0.5)^{\frac{5000}{1622} }$

Now, solve this equation:

$y=220(0.5)^{3.08}$

Use a calculator to solve for y:

y= 200(0.118)

y≈23.6 kg left.