What do you want us to work out?
Answer:
11552.45 years
Explanation:
Given that:
Half life = 5730 years
Where, k is rate constant
So,
The rate constant, k = 0.00012 years⁻¹
Using integrated rate law for first order kinetics as:
Where,
is the concentration at time t
is the initial concentration
Given that:
The rate constant, k = 0.00012 years⁻¹
Initial concentration
= 160.0 counts/min
Final concentration
= 40.0 counts/min
Time = ?
Applying in the above equation, we get that:-

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