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Since density is constant volume remains same.
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- RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1 Ci = 3.7 × 101º 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 2 and isotop half-life T1/2: In(2) 0.693 Radioisotope Half-life Modality T1/2 T1/2 Carbon-11 20 minutes PET where a is decay constant (1/s), T1/2 is isotope half- life (s). 3. Activity or decay rate of a radioactive source A: ΔΝ Fluorine-18 110 minutes PET Copper-64 12.7 hours PET Gallium-67 78.3 hours SPECT Gallium-68 68 minutes PET = AN 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 (s ), 1 is decay constant (1/s). 4. Activity A of a radioactive source at a time t:…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…QUESTION 13 The following table of probabilistic time estimates (in weeks) and activity predecessors are provided for a project Immediate Most Probable Predecessor Activity A B C D E F G H Table 1 Reference: Ref 1 A, B B C D, E F Optimistic Time Time 11 13 5 13 6 3 4 6 2 3 10 5 6 8 4 13 Using Table 1, the earliest start time for activity G is OA. 0.0 weeks. OB. 10.0 weeks. O C. 10.5 weeks. O D. 15.5 weeks. O E. None of the above Pessimistic Time 14 19 14 7 11 13 6 9 decessors are p
- At the beginning of an experiment, a scientist has 252 grams of radioactive goo. After 195 minutes, her sample has decayed to 3.9375 grams. What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t) || How many grams of goo will remain after 32 minutes?A sample of a radioactive substance has an initial mass of 63.3 mg. This substance follows a continuous exponential decay model and has a half-life of 5 days. (a) Let t be the time (in days) since the start of the experiment, and let y be the amount of the substance at time t. Olno Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = (b) How much will be present in 13 days? Do not round any intermediate computations, and round your answer to the nearest tenth. O mg I Don't Know Submit O2021 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center | Accessibility MacBook Ai F11 80 888 F10 FB F9 F7 F6 esc F3 F4 F5 F2 $ 8 9 * 00Question 1. There are four factors: A, B, C, D. We assume that each replicate was considered as a block. Fill in the table as below and analyze the experiment with conclusions. Using a = 0.05. Treatment combination Rep 1 Rep 2 7.786 | 7.377014 6.789 | 6.398278 5.834 5.554411 A C D -1 a - b 2.341 2.28354 6.133 5.702366 3.669 | 3.608621 d ab ас 6.154 5.87312 ad 5.819| 5.550515 bc 12.887 12.62869 2.753 2.261361 4.451 4.411148 0.873 | 0.793026 4.678 | 4.259536 3.728 3.695787 bd cd abc abd bcd аcd 10.478 10.33168 abcd 1.722 | 1.365419 Table 1
- A hydrogen atom has a diameter of 1.06 X 10-10 m . The nucleous of the hydrogen atom has a diameter of approximately 2.40 x 10-15 m . (a) For a scale model, represent the diameter of the hydrogen atom by the playing length of an American football field (100 yards= 300 ft) and determine the diameter of the nucleus in millimeters. (b) Find the ratio of the volume of the hydrogen atom to the volume of its nucleus.Problem A You have a 3 mol pure sample of an unknown material. After 3.7 h, you discover that 20% has decayed. Determine the half-life, decay constant, mean life, & initial decay rate. Also determine what the decay rate is at 3.7 h. T1/2 = λ= 3.28e-04 x h¹ T= R₂ = R= Problem B decays/h decays/h The decay rate of a radioactive source decreases by 32.8% in 92 h. Determine the half-life, decay constant, & mean life of the source. T1/2 = λ = T= h-11. The half-life of a radioactive substance is the time it takes for half of the substance to decay. The radioactive iodine isotope I-131, which has a half-life of 8 days, is used to treat hyperthyroidism. Solve 400 - 3.125 to find how many days t it will take for 400 millicuries of I-131 to decay to 3.125 millicuries. A 56 days в 7days C 8 days D 128 days 2. In the year 2000, the population of Mexico was about 100 million, and was growing by approximately 1.53% per year. At this growth rate, the function Ax) = 100(1.0153)* gives the population, in millions, x years after 2000. Using this model and a graph of the function, in what year would the population reach 109 million? Round your answer to the nearest year. 2006 C 2005 D 2007 A в 2008 3. Use a graph to solve 3* - 100. A x-4.2 в х-2.1 C x- 0.2 D x-0.1
- 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…Phosphorus-32 is a commonly used radioactive nuclide in biochemical research, particularly in studies of nucleic acids. The half-life of phosphorus-32 is 14.3 days. What mass of phosphorus-32, in milligrams, is left from an original sample of 175 mg of Na "PO, after 38.8 days? Assume that the atomic mass of 32P is 32.0.NUCLEAR CHEMISTRY: Consider the nuclei Sn with an atomic number of 50 and mass number is 117 . Determine its mass defect in kilograms if its atomic mass is 116.956 amu. The mass of a proton and neutron are 1.0073 and 1.0087 amu, respectively. Express your answers in three decimal places in scientific notation, i.e., 6.022e23 to represent 6.022x 105