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RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1Ci= 3.7 x 1010 Bq 1. Nuclear decay law: N = Noe t, The law of radioactive decay gives the quantitative relationship between the original number of nuclei present at time zero Ng and the number N at a later time t (sec), where e = 2.71828. is the base of the natural logarithm, and à is the decay constant for the nuclide (1/s). 2. Relationship between decay constant å and isotop half-life T1/2: In(2) - 0.693 Radioisotope Half-life Modality Modality T1/2 T1/a Carton-11 20 minutes PET where A is decay constant (1/s), T1/2 is isotope half- life (s). Fuorine-18 110 minutes PET Copper-64 12.7 hours PET 3. Activity or decay rate of a radioactive source A: Gallum-67 78.3 hours SPECT ΔΝ Galium-68 68 minutes PET = AN Technetum-99m 6.02 hours SPECT Δε where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at timet Thalum-201 (s ), a is decay constant (1/s). 4. Activity A of a radioactive source at a time t: 67.3 hours 13.22 hours SPECT Indium-111 SPECT lodine-123 72.9 hours SPECT A = Age dt = A,2 T/a A, is initial activity (Bq), T/2 half life time of an isotope (s). 5. Relationship between mass and number of nuclei: т_ N м м 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. 2. Calculate the activity due to "C in 1.00 kg of carbon found in a living organism. Express the activity in units of Bq and Ci. It is known, that the half-life of "C is 5730 years.

RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1Ci= 3.7 x 1010 Bq 1. Nuclear decay law: N = Noe t, The law of radioactive decay gives the quantitative relationship between the original number of nuclei present at time zero Ng and the number N at a later time t (sec), where e = 2.71828. is the base of the natural logarithm, and à is the decay constant for the nuclide (1/s). 2. Relationship between decay constant å and isotop half-life T1/2: In(2) - 0.693 Radioisotope Half-life Modality Modality T1/2 T1/a Carton-11 20 minutes PET where A is decay constant (1/s), T1/2 is isotope half- life (s). Fuorine-18 110 minutes PET Copper-64 12.7 hours PET 3. Activity or decay rate of a radioactive source A: Gallum-67 78.3 hours SPECT ΔΝ Galium-68 68 minutes PET = AN Technetum-99m 6.02 hours SPECT Δε where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at timet Thalum-201 (s ), a is decay constant (1/s). 4. Activity A of a radioactive source at a time t: 67.3 hours 13.22 hours SPECT Indium-111 SPECT lodine-123 72.9 hours SPECT A = Age dt = A,2 T/a A, is initial activity (Bq), T/2 half life time of an isotope (s). 5. Relationship between mass and number of nuclei: т_ N м м 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. 2. Calculate the activity due to "C in 1.00 kg of carbon found in a living organism. Express the activity in units of Bq and Ci. It is known, that the half-life of "C is 5730 years.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1Ci= 3.7 x 1010 Bq 1. Nuclear decay law: N = Noe t, The law of radioactive decay gives the quantitative relationship between the original number of nuclei present at time zero Ng and the number N at a later time t (sec), where e = 2.71828. is the base of the natural logarithm, and à is the decay constant for the nuclide (1/s). 2. Relationship between decay constant å and isotop half-life T1/2: In(2) - 0.693 Radioisotope Half-life Modality Modality T1/2 T1/a Carton-11 20 minutes PET where A is decay constant (1/s), T1/2 is isotope half- life (s). Fuorine-18 110 minutes PET Copper-64 12.7 hours PET 3. Activity or decay rate of a radioactive source A: Gallum-67 78.3 hours SPECT ΔΝ Galium-68 68 minutes PET = AN Technetum-99m 6.02 hours SPECT Δε where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at timet Thalum-201 (s ), a is decay constant (1/s). 4. Activity A of a radioactive source at a time t: 67.3 hours 13.22 hours SPECT Indium-111 SPECT lodine-123 72.9 hours SPECT A = Age dt = A,2 T/a A, is initial activity (Bq), T/2 half life time of an isotope (s). 5. Relationship between mass and number of nuclei: т_ N м м 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.
Transcribed Image Text:RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1Ci= 3.7 x 1010 Bq 1. Nuclear decay law: N = Noe t, The law of radioactive decay gives the quantitative relationship between the original number of nuclei present at time zero Ng and the number N at a later time t (sec), where e = 2.71828. is the base of the natural logarithm, and à is the decay constant for the nuclide (1/s). 2. Relationship between decay constant å and isotop half-life T1/2: In(2) - 0.693 Radioisotope Half-life Modality Modality T1/2 T1/a Carton-11 20 minutes PET where A is decay constant (1/s), T1/2 is isotope half- life (s). Fuorine-18 110 minutes PET Copper-64 12.7 hours PET 3. Activity or decay rate of a radioactive source A: Gallum-67 78.3 hours SPECT ΔΝ Galium-68 68 minutes PET = AN Technetum-99m 6.02 hours SPECT Δε where A is activity or decay rate of a radioactive source (Bq), N is number of nuclei present at timet Thalum-201 (s ), a is decay constant (1/s). 4. Activity A of a radioactive source at a time t: 67.3 hours 13.22 hours SPECT Indium-111 SPECT lodine-123 72.9 hours SPECT A = Age dt = A,2 T/a A, is initial activity (Bq), T/2 half life time of an isotope (s). 5. Relationship between mass and number of nuclei: т_ N м м 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.
2. Calculate the activity due to "C in 1.00 kg of carbon found in a living organism. Express the activity in units of Bq and Ci. It is known, that the half-life of "C is 5730 years.
Transcribed Image Text:2. Calculate the activity due to "C in 1.00 kg of carbon found in a living organism. Express the activity in units of Bq and Ci. It is known, that the half-life of "C is 5730 years.
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