There will be 140 grams of the element left after 10 minutes, to the nearest minute.
It is impossible to forecast when a specific nucleus will decay (pardon the pun). A nucleus is made up of protons and neutrons that are held together by strong forces.
Decay times range from a few nanoseconds to several microseconds, and they are typically the most drawn-out of the various steps.
The following formula can be used to determine how long an element took to decompose:
F = P[tex](1-r)^{t}[/tex]
By substituting the values, we can arrive at the solution,
F = P[tex](1-r)^{t}[/tex]
140 = 800 [tex](1-0.28)^{t}[/tex]
140/800 = [tex](1-0.28)^{t}[/tex]
0.175 = [tex](1-0.28)^{t}[/tex]
t = 9.58
t = 10minutes.
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