atikargus9973 atikargus9973
  • 26-10-2020
  • Chemistry
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radium 226 has a half life of 1600 yers. suppose we have a 300g sample. how much remains after 200 years

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sebassandin
sebassandin sebassandin
  • 27-10-2020

Answer:

[tex]A=275.1g[/tex]

Explanation:

Hello.

In this case, since the radioactive decay is computed via:

[tex]A=A_0*2^{-\frac{t}{t_{1/2}}[/tex]

For the initial amount of Ra-226 (300 g), once 200 years have passed, the remaining mass is:

[tex]A=300g*2^{-\frac{200years}{1600years}}\\\\A=275.1g[/tex]

This is, considering that the half-life is 1600 years, it means that the mass of Ra-226 is decreased.

Best regards.

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