In this experiment, the count ratio R/R_0 is taken to be equal to the active rat
ID: 1000512 • Letter: I
Question
In this experiment, the count ratio R/R_0 is taken to be equal to the active ratio n/n_0.Why is this relation valid? If the decay constant for a particular isotope is 23,700 min^-1 what is the half-life of the radioactive species? A certain sample of a compound containing a radioactive isotope produced 821 counts in one minute at the beginning of the experiment and a count of 531 in one minute when 57.0 minutes had passed. The background count was 18 cpm. What is the decay constant k? Your instructor mistakenly gave you six drops from the MiniGenerator instead of five. How would this the measured halt-life? Explain.Explanation / Answer
2.Radioactive decay law states.
N = N0eyt
Where
N0 = number of undecayed nuclei at t=0
t = time after t=0 in seconds
N = the number of undecayed nuclei at time t
y = decay constant (s-1)
T1/2 = ln2/y
= 0.693/23700min-1 = 2.924 x 10-5min-1
Half-life of radioactive species is 2.924 x 10-5min-1
3.
Giveni
N0 = number of undecayed nuclei at beginnig = 821 count
Nt = the number of undecayed nuclei at time t = 531 count
t = 57 min
Background count = 18 cpm
Ignoring background count
ln N0/ Nt = y t
ln 821/531 = y x 57 min
0.4357 = 57 y
Y =0.00764 min-1
Y = 7.64 x 10-3 min-1
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