The half-life of a sample is the amount of time it takes for half of the sample to decay.
Given the initial mass of 100.00 g and the final mass of 6.25 g, we can calculate the half-life of the sample using the following equation:
Half-life = (initial mass / final mass) x (1/2)
Half-life = (100.00 g / 6.25 g) x (1/2)
Half-life = 16
Therefore, it will take 16 half-lives for the sample to decay from 100.00 g to 6.25 g.
Total time = 16 x (half-life)
Total time = 16 x (1/2)
Total time = 8 seconds