Answer:
24.4684 days
Step-by-step explanation:
According to the question the given values are :
T(1/2) for iodine-131 is 5.10 days,
[A]₀ for iodine-131 is 50 grams and,
[A] for iodine-131 is 6.25 grams.
T(1/2)=0.693/k
⇒8.10=0.693/k
⇒k=0.865 .
2.303 log [A]₀/[A]= kt
2.303 log(50.00/6.25)= 0.085×t
⇒t=1/0.085×2.303×log8
t=24.4684 days
Hence, the time it will take to decay is 24.4684 days.