Find the activity of 1.00 mg of radon `Rn^222`, whose atomic mass is 222 u, given that half-life of radon is 3.8 days

Explanation

To find the activity of 1.00 mg of radon \( Rn^{222} \), we will follow these steps:

### Step 1: Calculate the decay constant (\( \lambda \))

The decay constant \( \lambda \) is related to the half-life (\( t_{1/2} \)) by the formula:

\[
\lambda = \frac{\ln(2)}{t_{1/2}}
...