Question

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

Answer 1

Answer:

$A=275.1g$

Explanation:

Hello.

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

$A=A_0*2^{-\frac{t}{t_{1/2}}$

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

$A=300g*2^{-\frac{200years}{1600years}}\\\\A=275.1g$

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

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