Answer:
a = 0.827468
Explanation:
given,
half life of radium-224 = 3.66 days
now,
[tex]A(t) = A_0 a^t[/tex]
t is the time
A₀ is the amount at t = 0
at t = 0 , A(0) = 1
A(3.66) = 1/2
at t = 3.66
[tex]A(t) = A_0 a^t[/tex]
[tex]\dfrac{1}{2}= 1. a^{3.66}[/tex]
taking log both side
3.66 log (a) = log (0.5)
log a = -0.0822
now,[tex]a = 10^{-0.0822}[/tex]
a = 0.827468
