patoiscool74 patoiscool74
  • 09-05-2020
  • Mathematics
contestada

Radium-226 has a half life of 1622 years. If you start off with a 200
kilogram sample, how much Radium-226 will be left after 5000 years

Respuesta :

leena
leena leena
  • 09-05-2020

Answer:

≈23.6 kg left.

Step-by-step explanation:

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

[tex]y= a(0.5)^{\frac{t}{h} }[/tex]

a: the initial amount

t: the amount of time

h: the half life

Now, substitute the numbers into the equation:

[tex]y=200(0.5)^{\frac{5000}{1622} }[/tex]

Now, solve this equation:

[tex]y=220(0.5)^{3.08}[/tex]

Use a calculator to solve for y:

y= 200(0.118)

y≈23.6 kg left.

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