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Answer:
the time taken for the element to remain 1 gram is 38,400,000 unit.
Step-by-step explanation:
Given;
initial mass, m = 5 g
half life, t = 16,000,000 unit
The time taken for the element to remain 1 gram is calculated as;
mass remaining time
5 g 0
2.5 g 16,000,000
1.25 g 32,000,000
0.625 g 48,000,000
Interpolate to obtain the time at 1 gram;
1.25 g ---------------------------------- 32,000,000
1 g --------------------------------------------- x
0.625 g --------------------------------------- 48,000,000
Therefore, the time taken for the element to remain 1 gram is 38,400,000 unit.