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The half-life of Au-198 is 3 days. If the atomic weight of Au-198 is 198 g/mol, what is the activity of 2 mg of Au-198?

Answer :

Final answer:

The activity of 2 mg of Au-198 is 2 mg.

Explanation:

The half-life of a radioactive isotope refers to the amount of time it takes for half of the initial sample to decay. In this case, the half-life of Au-198 is 3 days. To find the activity of 2 mg of Au-198, you can use the equation:

[tex]Activity = Initial mass * (1/2)^(t / half-life)[/tex]

Plugging in the values, we get:

[tex]Activity = 2 mg * (1/2)^(0 / 3)[/tex]

[tex]Activity = 2 mg[/tex]

Therefore, the activity of 2 mg of Au-198 is 2 mg.

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Rewritten by : Barada

Final answer:

The activity of 2 mg of Au-198 is 2 mg.

Explanation:

The half-life of a radioactive isotope refers to the amount of time it takes for half of the initial sample to decay. In this case, the half-life of Au-198 is 3 days. To find the activity of 2 mg of Au-198, you can use the equation:

[tex]Activity = Initial mass * (1/2)^(t / half-life)[/tex]

Plugging in the values, we get:

[tex]Activity = 2 mg * (1/2)^(0 / 3)[/tex]

[tex]Activity = 2 mg[/tex]

Therefore, the activity of 2 mg of Au-198 is 2 mg.