strontium 90 has a half life of 28 years, how long will it take to fall to less than 1% of its original activity?
Start with 100% of the original activity:
• After 1 half-life (28 years): 100 \ 2 = 50\%
• After 2 half-lives (56 years): 50 \ 2 = 25\%
• After 3 half-lives (84 years): 25 \ 2 = 12.5\%
• After 4 half-lives (112 years): 12.5 \ 2 = 6.25\%
• After 5 half-lives (140 years): 6.25 \ 2 = 3.125\%
• After 6 half-lives (168 years): 3.125 \ 2 = 1.5625\%
• After 7 half-lives (196 years): 1.5625 \ 2 = 0.78125\% so approximately it will take 169 years.