RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1 Ci = 3.7 × 1010 Bq 1. Nuclear decay law: N = Noe¬at, The law of radioactive decay gives the quantitative relationship between the original number of nuclei present at time zero No and the number N at a later time t (sec), where e = 2.71828... is the base of the natural logarithm, and 2 is the decay constant for the nuclide (1/s). 2. Relationship between decay constant 1 and isotop half-life T1/2: 0.693 T1/2 1= In(2) Half-life Modality Radioisotope T1/2 where a is decay constant (1/s), T1/2 is isotope half- life (s). Carbon-11 20 minutes PET Fluorine-18 110 minutes PET Copper-64 | 12.7 hours PET 3. Activity or decay rate of a radioactive source A: Gallium-67 AN A = At where A is activity or decay rate of a radioactive lodine-123 source (Bq), N is number of nuclei present at time t Thallium-201 (s ), 2 is decay constant (1/s). 78.3 hours SPECT | 68 minutes Gallium-68 Technetum-99m PET 6.02 hours SPECT Indium-111 | 67.3 hours SPECT 13.22 hours SPECT | 72.9 hours SPECT 4. Activity A of a radioactive source at a time t: A = Aoe¬At = A,2 ™1/2 A, is initial activity (Bq), T1/2 half life time of an isotope (s). 5. Relationship between mass and number of nuclei: т N M NA m is mass (kg), M is molar mass (kg/mole), N is number of nuclei, NA = 6.022 · 1023 mole! is Avogadro's constant. %3D 9. Cadmium-107 has a half life of 6.52 hours. If you start off with sample which has an activity of 1.0x1010 Bq, what will the activity in Bq be after the following times (a) 6.52 hours; (b) 3 days.
RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1 Ci = 3.7 × 1010 Bq 1. Nuclear decay law: N = Noe¬at, The law of radioactive decay gives the quantitative relationship between the original number of nuclei present at time zero No and the number N at a later time t (sec), where e = 2.71828... is the base of the natural logarithm, and 2 is the decay constant for the nuclide (1/s). 2. Relationship between decay constant 1 and isotop half-life T1/2: 0.693 T1/2 1= In(2) Half-life Modality Radioisotope T1/2 where a is decay constant (1/s), T1/2 is isotope half- life (s). Carbon-11 20 minutes PET Fluorine-18 110 minutes PET Copper-64 | 12.7 hours PET 3. Activity or decay rate of a radioactive source A: Gallium-67 AN A = At where A is activity or decay rate of a radioactive lodine-123 source (Bq), N is number of nuclei present at time t Thallium-201 (s ), 2 is decay constant (1/s). 78.3 hours SPECT | 68 minutes Gallium-68 Technetum-99m PET 6.02 hours SPECT Indium-111 | 67.3 hours SPECT 13.22 hours SPECT | 72.9 hours SPECT 4. Activity A of a radioactive source at a time t: A = Aoe¬At = A,2 ™1/2 A, is initial activity (Bq), T1/2 half life time of an isotope (s). 5. Relationship between mass and number of nuclei: т N M NA m is mass (kg), M is molar mass (kg/mole), N is number of nuclei, NA = 6.022 · 1023 mole! is Avogadro's constant. %3D 9. Cadmium-107 has a half life of 6.52 hours. If you start off with sample which has an activity of 1.0x1010 Bq, what will the activity in Bq be after the following times (a) 6.52 hours; (b) 3 days.
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Transcribed Image Text:RADIOACTIVITY. LAW OF RADIOACTIVE DECAY
Activity units:
1 Ci = 3.7 × 1010 Bq
1. Nuclear decay law:
N = Noe¬at,
The law of radioactive decay gives the quantitative relationship between the original number
of nuclei present at time zero No and the number N at a later time t (sec), where e = 2.71828...
is the base of the natural logarithm, and 2 is the decay constant for the nuclide (1/s).
2. Relationship between decay constant 1 and isotop half-life T1/2:
0.693
T1/2
1= In(2)
Half-life
Modality
Radioisotope
T1/2
where a is decay constant (1/s), T1/2 is isotope half-
life (s).
Carbon-11
20 minutes
PET
Fluorine-18
110 minutes PET
Copper-64
| 12.7 hours
PET
3. Activity or decay rate of a radioactive source A: Gallium-67
AN
A =
At
where A is activity or decay rate of a radioactive lodine-123
source (Bq), N is number of nuclei present at time t Thallium-201
(s ), 2 is decay constant (1/s).
78.3 hours
SPECT
| 68 minutes
Gallium-68
Technetum-99m
PET
6.02 hours
SPECT
Indium-111
| 67.3 hours
SPECT
13.22 hours SPECT
| 72.9 hours
SPECT
4. Activity A of a radioactive source at a time t:
A = Aoe¬At = A,2 ™1/2
A, is initial activity (Bq), T1/2 half life time of an isotope (s).
5. Relationship between mass and number of nuclei:
т N
M NA
m is mass (kg), M is molar mass (kg/mole), N is number of nuclei, NA = 6.022 · 1023 mole!
is Avogadro's constant.
%3D
Transcribed Image Text:9. Cadmium-107 has a half life of 6.52 hours. If you start off with sample which has an
activity of 1.0x1010 Bq, what will the activity in Bq be after the following times (a) 6.52 hours;
(b) 3 days.
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