How long will it take for the radioisotope Rn-222 to decay to 54.2 g if the half-life of Rn-222 is 3.8235 days, starting with the following. (Isotopic mass of Rn-222 is 222.017570 g/mol.)
(
(a) 80.6 g Rn-222
(b) 10.6 mol Rn-222
Radioactive decay is an example for first order kinetics and for I order kinetics
K=0.693/t1/2
K= 0.693/3.8235= 0.181 day^-1
A. And for I order kinetics, K= (2.303/t)log(Ao/A)
t=(2.303/K)log(Ao/A)= (2.303/0.181)log(80.6/54.2)
=12.7log(1.48)= 12.7(0.170)= 2.16 days
B. Mass = no of moles X MW= 10.6x222.01757=2353.38 g
t= (2.303/0.181)log(2353.38/54.2)
= 12.7log(43.72)
=12.7(1.63)
t= 20.79 days
How long will it take for the radioisotope Rn-222 to decay to 54.2 g if the...
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