how many half-lives of radon-222 have passed in 11.46 days?
1/8 =(1/2)^n 0.25=0.5^n log0.25=log0.5^n log0.25=nlog0.5 n=log0.25/log0.5=3:::::there4 it is 3 half-lifes
To determine how many half-lives of radon-222 have passed in 11.46 days, we need to know the half-life of radon-222.
The half-life of radon-222 is approximately 3.8 days. This means that every 3.8 days, half of the radon-222 atoms will decay.
To calculate the number of half-lives that have passed in 11.46 days, divide the total time (11.46 days) by the half-life (3.8 days):
Number of half-lives = Total time / Half-life
Number of half-lives = 11.46 days / 3.8 days
Calculating this, we find:
Number of half-lives ≈ 3
Therefore, approximately 3 half-lives of radon-222 have passed in 11.46 days.