Answer:
Half-Life = 18 days
Explanation:
Isotope decay follows the equation:
Ln[A] = -kt + ln[A]₀
Where [A] is amount of isotope after time t,
k is rate constant
[A]₀ is initial amount of isotope.
If we solve rate constant, we can find half-life by using:
Half-life = ln 2 / Rate constant
Replacing in isotope decay equation:
Ln[1/8] = -k*54 days + ln[1]
-2.07944 = -54k
0.0385days⁻¹ = k
Half-Life = ln 2 / 0.0385days⁻¹
Half-Life = 18 days
