Calculate the average life (in minutes ) , if the half - life of a radionuclide is 69.3 . Minutes

Options

A. 100
B. `1//100`
C. `69.3xx14.4`
D. `0.693xx69.3`

Answer

To calculate the average life (τ) of a radionuclide given its half-life (t½), we can use the formula:

\[ \tau = 1.44 \times t_{1/2} \]

**Step 1: Identify the half-life.**
We are given that the half-life (t½) of the radionuclide is 69.3 minutes.

**Step 2: Substitute the half-life into the formula.**
Now, we will substitute the value of t½ into the formula for average life:

\[ \tau = 1.44 \times 69.3 \]

**Step 3: Perform the multiplication.**
Calculating this gives:

\[ \tau = 1.44 \times 69.3 \approx 99.7392 \text{ minutes} \]

**Step 4: Round the result.**
When rounded to the nearest whole number, we get:

\[ \tau \approx 100 \text{ minutes} \]

**Final Answer:**
The average life of the radionuclide is approximately 100 minutes.

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