The half-lives of different radioisotopes are given in the table.?
The half-lives of different radioisotopes are given in the table.
Radioisotope Half-life (min)
If the initial amount of argon-44 is
9.6 g, how much argon-44 is left in the body after
- SpacemanLv 71 month ago
t½ = half-life of argon-44 = 12 min
λ = [lambda] radioactive decay constant = to be determined
λ = ln (2) / t½
λ = 0.693147 / 24
λ = 0.057762265
N0 = original amount of argon-44 = 9.6 g
t = decay time = 24 min
Nt = amount of argon-44 after t min = to be determined
Nt = N0·e^(-λ·t)
Nt = 9.6 g·e^(-0.057762·24)
Nt = 2.4 g ANSWERSource(s): https://www.1728.org/halflif2.htm https://socratic.org/questions/what-is-the-half-li... http://www.softschools.com/formulas/chemistry/radi...
- Roger the MoleLv 71 month ago
(9.6 g) x (1/2)^(24 min / 12 min) = 2.4 g
- Anonymous1 month ago
24 min = 2 half lives = 1/4 of the original amount remaining. 9.6 g / 4 = mass of Ar remaining.