TayvinQ714470 TayvinQ714470
  • 25-10-2022
  • Mathematics
contestada

The half-life of a radioactive kind of copper is 3 hours. if you start with 2,352 grams of it, how much will be left after 9 hours??

Respuesta :

BonniF124857 BonniF124857
  • 25-10-2022

Answer:

294 grams

Explanation:

The amount of radioactive material left after t hours given that the half-life is to hours is

[tex]A=P(0.5)^{\frac{t}{t_0}}[/tex]

Now, in our case t0 = 3, t = 9 and P = 2352 g; therefore, the above equation gives

[tex]A=2352(0.5)^{9/3}[/tex][tex]A=294g[/tex]

which is our answer!

Hence, the amount of radioactive copper left after 9 hours is 294 grams.

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