Answer:
k = 0.0866 days⁻¹
Explanation:
The isotope decay of the atom follows the equation:
ln [A] = -kt + Ln[A]₀
Where [A] is the amount of the isotope after time t = 8.25mg
Time = 12.8days
k is rate constant
[A]₀ is actual amount of the isotope = 25.0mg
Replacing:
ln 8.25mg = -k*12.8days + ln 25.0mg
2.11 - 3.22 = -k*12.8days
-1.11 = -k12.8days
k = 0.0866 days⁻¹
