1 A certain radioactive isotope of uranium has a halflife of
(1) A certain radioactive isotope of uranium has a half-life of 20 days
(A)
Determine the decay consumer for this isotope. [ hint !!! Remembered that the decay constant has a unit of measure ]
(B)
What percentage of the original sample of this isotope will be percent after 50 days?
(A)
Determine the decay consumer for this isotope. [ hint !!! Remembered that the decay constant has a unit of measure ]
(B)
What percentage of the original sample of this isotope will be percent after 50 days?
Solution
N(t)=Noe^(-t)
(A)
No/2 = Noe^(-*20)
e^(-*20)=1/2
=-ln(0.5)/20=0.693/20=0.03466
decay constant = 0.03466
(B)
N(t)/No = e^(-0.03466*50)=e^(-1.733) = 0.177
percentage after 50 days=(1-(N(t)/No))*100 = 0.823*100=82.3%
