Table 12.2 Some Naturally Occurring Radio- active Nuclides Natural Nuclide t1/2 (y) Abundance 40 19K 1.28 × 10º 0.01% 87 4.8 × 101º 27.8% 37Rb 113, 48 Cd 115In 9 × 1015 12.2% 4.4 × 1014 95.7% 49 128- Te 7.7 × 1024 31.7% 52 130 52 2.7 × 10²1 33.8% 138 57 La 1.1 × 101' 0.09% 144 60 Nd 2.3 × 1015 23.8% 147 Sm 1.1 × 1011 15.0% 62 7 × 1015 148 11.3% 62 Sm
Q: Question 4. A synthetic radioisotope is freshly prepared in a lab that has an ac- ivity of 10.0 mCi.…
A: Given data as per question t = 5.00 h A0 = 10.0mCi
Q: Find the activity A of a sample containing 4E-6 g of 60/27 Co (T1/2= 5.27 years). (Use 59.93 u as…
A: the problem is based upon the concept of radioactivity. Using the formula for the activity of a…
Q: How many half-lives would have to elapse for a sample of a radioactive isotope to decrease from an…
A: No = 192 cpmN = 3 cpm
Q: 3. An ancient club is found that contains 150 g of pure carbon and has an activity of 5.5 decays per…
A:
Q: Calculate the nuclear binding energy per nucleon, in MeV, for a nucleus containing 135 nucleons, of…
A:
Q: Half-life of radioactive element 13153I is 8.0252 days. (A) Its decay constant, λ (B) Percentage…
A:
Q: The main dangerous radioactive material left over after the Chernobyl disaster is Caesium-137. The…
A:
Q: The radiocarbon content of 14C decreases after the death of a living system with a half-life of 5730…
A: The formula of the radioactivity is given below where, T is the half life, t is the time, Ro is the…
Q: A sample of a radioactive isotope with a decay constant of λ = 4.27 × 10-3 s-1. A sample of the…
A: we know activity R =λN where λ = decay constant N = number of particle given N = 2.68 × 1015…
Q: As part of a radiotherapy course a patient is injected with a sodium phosphate solution containing…
A: Given: The mass of the phosphorus 32 is MP = 31.973908 u The mass of the product atom is MS =…
Q: Radon-222 has a half-life of 3.8 days. What mass of radon-222 would have a decay rate of 2220 Bq?…
A: We use the formula of rate of decay to get the required values.
Q: Mass spectrometric analysis of potassium and argon atoms in a Moon rock sample shows that the ratio…
A:
Q: A certain radioactive nuclide decays with a disintegration constant of 0.0137h1. (a) Calculate the…
A: Given Disintegration constant λ=0.0137 h-1 (a) half life T1/2 =0.693λ T1/2= 0.693/0.0137…
Q: a) The half-life of iodine-125 is 59.4 days. If the initial mass of iodine-125 is 128 µg, what mass…
A: a) Given, the half-life of iodine-125 is T12=59.4days the initial mass of iodine is…
Q: A living specimen in equilibrium with the atmosphere contains one atom of 14C (half-life = 5 730 yr)…
A: Determine the number of carbon molecules per mole. Determine the initial number of atoms of C-14.
Q: An artifact classified as charcoal, found in a site at Epirus, Greece, is found to have a 14C…
A: initial radioactivity(Ro)=0.255 counts per second final radioactivity(R)=4.36 X 10-2 counts per…
Q: 40.12 A sample of material contains 2.00 x 1015 atoms. The sample initially consists entirely of a…
A: Let N denote the number of atoms of the radioactive substance A. Let t1/2 denote the half-life time…
Q: A synthetic radioisotope is freshly prepared in a lab that has an activity of 10.0 mCi. If the…
A:
Q: The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…
A: Half life of C-14 T1/2= yearsinitial activity of sample A0= BqActivity of sample At = Bq
Q: Plutonium-238 (238Pu) is a radioactive isotope with a half-life of 87.7 years. If a sample of 238Pu…
A: Given Half life=87.7year Activity after the=438.5year
Q: P239u is a nuclear waste byproduct with a half-life of 24,000 y. What fraction of P239u present…
A: The formula for remaining nuclei in terms of half life N=N012tt1/2
Q: 131I is a Beta - emitter used as a tracer for radioimmunoassay in biological systems. (a) Write the…
A:
Q: A radioactive sample is monitored with a radiation detector to produce 7640 counts per minute.…
A: Initial count is Final count is Time is Find:(a) Decay constant of the sample.(b) Half-life time.
Q: Potassium-argon dating is used to measure the age of rocks formed from cooled lava by determining…
A: The radioactive dating of rocks formed from cooled lava is determined by using parallel decay of…
Q: A living specimen in equilibrium with the atmosphere contains one atom of 14C (half- life = 5 730…
A: In this question we have to find the age of the given sample in the nearest year. Please give…
Q: In a nuclear reactor accident, the 137Cs (?1/2 = 30.2 years) nuclide is among the most problematic…
A: Given : Description of a nuclear reactor using 137Cs.
Q: (d) An a particle is confined in a 'Dy nucleus. Assuming the speed of the a particle is…
A: Uncertainty principle states that it is impossible to measure distance and momentum of a particle…
Note in Table that the half-lives of two abundant isotopes of tellurium are more than 1021 years. (a) What is the decay rate per unit mass of 128Te, which decays by emitting two β-, in units of s-1 . kg-1? (b) How much mass of a natural sample of tellurium would it take to measure a decay rate of 10 β-/s for 128Te?
Trending now
This is a popular solution!
Step by step
Solved in 6 steps
- an element with initial mass 1 kg started radioactivity in 2021 , in which year the element will lose 0.5 kg ? knowing that the decay constant for element is 693.147*10^-5 / yearThe half life for the radioactive decay of Ce-141 is 32.5 days. If the sample has an activity of 4.0 úCi after 130 days have elapsed, what was the initial activity, in microcuries, of the sample?Answer the following questions about the radiochemistry involved in PET scans. All answers are numerical. (Hint: 1 mCi is exactly 3.7 x 107 Bq. ) a) Fluorine-18 can be synthesized by smashing tritium (3.01605 amu) into 16O (15.99491 amu), which results in the formation of 18F (18.00094 amu) and a neutron (1.00866 amu) according to the this reaction: 3H + 16O → 18F + n How much energy is emitted per mole in this reaction? ________x 10¹¹ J/mol b) If the initial dose of 18F (t1/2 = 109.8 min) received by the patient is 12.00 milliCurie (mCi), what is the disintegration rate (in mCi) in the patient's body at exactly 24 hours after they receive that initial dose? ________x 10-⁹ mCi need both parts or else I will downvote
- A 25g piece of charcoal is discovered in a prehistoric cave. Carbon 14 of the sample shows a radioactive activity of 250 disintegrations / minute. If we estimate that originally the decay was 376 decays / minute, for how long is the tree from which the carbon sample was taken dead? The half-life of carbon-14 is 5730 years.Naturally occurring 40K is listed as responsible for 24 mrem/y of background radiation. Calculate the mass of 40K in grams that must be inside the 45 kg body of a woman to produce this dose. Each 40K decay emits a 1.32 MeV β, and 42% of the energy is absorbed inside the body.Naturally occurring 40K is listed as responsible for 16 mrem/y of background radiation. Calculate the mass of 40K that must be inside the 55-kg body of a woman to produce this dose. Each 40K decay emits a 1.32-MeV β , and 50% of the energy is absorbed inside the body.
- Californium-254 has a half-life of 60days. (a) A sample has a mass of 16 mg initially. Find a formula for the mass remaining after t days. (b) Find the mass remaining after 75 days. (c) How long does it take the sample to decay to a mass of 1 mg. (Use the appropriate differential equation for the radioactive decay)Naturally occurring 40K is listed as responsible for 27 mrem/y of background radiation. Calculate the mass of 40K in grams that must be inside the 51 kg body of a woman to produce this dose. Each 40K decay emits a 1.32 MeV β, and 44% of the energy is absorbed inside the body.The alpha ray activity of a material is measured after equal successive inter-vals (hours), in terms of its initial activity as unity to the 0.835; 0.695; 0.580; 0.485; 0.405 and 0.335. Assuming that the activity obeys an exponential decay law, find the equation that best represents the activity and calculate the decay constant and the half-life.??????
- (a) For the nuclei B and C, determine the difference in binding energy per nucleon (in MeV). (Let the mass of a proton be 1.0078 u, the mass of a neutron be 1.0087 u, the mass of ¹B be 11.0093 u, and the mass of C be 11.0114 u.) 0.0762 x Review the meaning of the A, Z and N numbers. Review how to find the binding energy of a nucleus and then the binding energy per nucleon. MeV (b) This difference in binding energy is due to which of the following? O Greater electron attraction for the C atom O Greater electron repulsion for the C atom Ⓒ Greater neutron attraction for the C nucleus O Greater neutron repulsion for the ¹C nucleus O Greater proton attraction for the C nucleus Ⓒ Greater proton repulsion for the C nucleusThe binding energy for a nucleus containing Z protons and N neutrons is defined as c²[ZM + Nm, - M] where M is the mass of the neutral atom containing the nucleus, the quantity in the parentheses is the mass defect, and c? = 931.5 MeV/u.The binding energy of a nuclide can also be written as E, = Am x 931.5 MeV/u where Am is the mass defect. The Figure below show the mass for neutral atom and the nucleons of a helium atom. SHe Binding energy Mass = 4.0026 u Mass = 4.0330 u Calculate the mass defect Am of a helium atomArcheologists can determine the age of artifacts made ofwood or bone by measuring the amount of the radioactive iso-tope ¹⁴C present in the object. The amount of isotope decreasesin a first-order process. If 15.5% of the original amount of ¹⁴C is present in a wooden tool at the time of analysis, what is theage of the tool? The half-life of ¹⁴C is 5730 yr.