Allow the element to go through several half-lives such that the total amount of time = 2. This is 4 half-lives (1/2 + 1/2 + 1/2 + 1/2 = 2):
Four half-lives:
1 ---> 1/2 ---> 1/4 ---> 1/8 ---> 1/16
Therefore it take 4 half lifes to become one-sixteenth. Therefore time taken is 4*2.1= 8.4 hours
f = 1/16
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