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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 1= In(2) Radioisotope Half-life Modality T1/2 where å is decay constant (1/s), T1/2 is isotope half- life (s). T1/2 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 = = AN 78.3 hours SPECT Gallium-68 68 minutes PET Technetum-99m 6.02 hours SPECT Δt where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at time t Thallum-201 (s ), 2 is decay constant (1/s). 4. Activity A of a radioactive source at a time t: Indium-111 | 67.3 hours SPECT 13.22 hours SPECT 72.9 hours SPECT A = Aoe¬dt = 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 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. м %3D 3. If a vial contains 600 MBq of iodine-123 (I-123) at 12:30 (14 June 2019), how much radioactivity will be present in the vial at 14:00 on the 15 June 2019. Please input your answer in Bq and Ci.

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 1= In(2) Radioisotope Half-life Modality T1/2 where å is decay constant (1/s), T1/2 is isotope half- life (s). T1/2 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 = = AN 78.3 hours SPECT Gallium-68 68 minutes PET Technetum-99m 6.02 hours SPECT Δt where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at time t Thallum-201 (s ), 2 is decay constant (1/s). 4. Activity A of a radioactive source at a time t: Indium-111 | 67.3 hours SPECT 13.22 hours SPECT 72.9 hours SPECT A = Aoe¬dt = 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 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. м %3D 3. If a vial contains 600 MBq of iodine-123 (I-123) at 12:30 (14 June 2019), how much radioactivity will be present in the vial at 14:00 on the 15 June 2019. Please input your answer in Bq and Ci.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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 1= In(2) Radioisotope Half-life Modality T1/2 where å is decay constant (1/s), T1/2 is isotope half- life (s). T1/2 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 = = AN 78.3 hours SPECT Gallium-68 68 minutes PET Technetum-99m 6.02 hours SPECT Δt where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at time t Thallum-201 (s ), 2 is decay constant (1/s). 4. Activity A of a radioactive source at a time t: Indium-111 | 67.3 hours SPECT 13.22 hours SPECT 72.9 hours SPECT A = Aoe¬dt = 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 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. м %3D
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 1= In(2) Radioisotope Half-life Modality T1/2 where å is decay constant (1/s), T1/2 is isotope half- life (s). T1/2 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 = = AN 78.3 hours SPECT Gallium-68 68 minutes PET Technetum-99m 6.02 hours SPECT Δt where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at time t Thallum-201 (s ), 2 is decay constant (1/s). 4. Activity A of a radioactive source at a time t: Indium-111 | 67.3 hours SPECT 13.22 hours SPECT 72.9 hours SPECT A = Aoe¬dt = 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 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. м %3D
3. If a vial contains 600 MBq of iodine-123 (I-123) at 12:30 (14 June 2019), how much radioactivity will be present in the vial at 14:00 on the 15 June 2019. Please input your answer in Bq and Ci.
Transcribed Image Text:3. If a vial contains 600 MBq of iodine-123 (I-123) at 12:30 (14 June 2019), how much radioactivity will be present in the vial at 14:00 on the 15 June 2019. Please input your answer in Bq and Ci.
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