The time in years taken for the sample to be reduced to 1.00 mg of Rn-222 from 36g is 0.57 years.
Total time for the decomposition of any element will be calculated by using the following equation as:
T = (t)ⁿ, where
t = half life time = 3.80 days
n = number of half lives
Let we calculate number of half lives as:
1- 36 → 18
2- 18 → 9
3- 9 → 3
4- 3 → 1.5
Almost 4 half lives are required, on putting values on the above equation, we get
T = (3.80)⁴
T = 208.51 = 208 days (approx) = 0.569 = 0.57 years. (1 yr = 365 days)
Hnece reqiuired time is 0.57 years (approx).
To know more about half life time, visit the below link:
https://brainly.com/question/14936355
