Final answer:
The half-life of the sample is 41.6 hours.
Step-by-step explanation:
To determine the half-life of the sample, we need to use the formula:
t = (t₁/2) * log2 (N₀ / N)
Where:
- t is the time in hours
- t₁/2 is the half-life
- N₀ is the initial quantity of the sample
- N is the remaining quantity of the sample
In this case, the initial quantity is 16 kg and the remaining quantity is 1/16 kg. Plugging these values into the formula, we get:
t = (10.4 hours) * log2 (16 kg / 1/16 kg) = (10.4 hours) * 4 = 41.6 hours
Therefore, the half-life of the sample is 41.6 hours.