50.3k views
0 votes
radium 226 has a half life of 1600 yers. suppose we have a 300g sample. how much remains after 200 years

1 Answer

4 votes

Answer:


A=275.1g

Step-by-step explanation:

Hello.

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


A=A_0*2^{-(t)/(t_(1/2))

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


A=300g*2^{-(200years)/(1600years)}\\\\A=275.1g

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

Best regards.

User Tim Down
by
6.8k points