Carbon-14 has a half-life of 5730 years. What mass of carbon-14 would have a decay rate of 20,000 Bq? Considering that carbon-14 decays via beta-minus radiation, ALSO write the complete nuclear decay equation
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Carbon-14 has a half-life of 5730 years. What mass of carbon-14 would have a decay rate of 20,000 Bq? Considering that carbon-14 decays via beta-minus radiation, ALSO write the complete
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- Uranium (protons = 92, neutrons = 146, atomic mass = 238.050788 u) decays via alpha decay to Thorium (protons = 90, neutrons = 144, atomic mass = 234.043601 u). What is the kinetic energy of the emitted alpha particle? (Hint: Any energy that is not locked up in rest energy of the product nuclei will go to kinetic energy in the alpha particle.) (Hint: the answer is 4.27 MeV)Modern household smoke detectors contain a tiny speck of the element Americium (Am, atomic number 95, atomic mass 241), which has a half-life of 432 years and an activity of (roughly) of 37,000 decays per second. a) What is the approximate mass of this speck? (Hint: the atomic mass of this isotope is approximately 241.06 u). b) This isotope is an alpha emitter. Is its radiation likely to be a hazard to the household members while the smoke detector is on the ceiling? Explain.Carbon-14, with a half-life of 5730 years, has a decay constant of λ = 1.21 × 10-4 yr-1. A piece of wood from an archaeological site is found to have 1.9 % of its original carbon-14. How many years old (t) is the piece of wood? Express your answer in scientific notation. Example: 1.23e4.
- The activity of a particular radioactive nuclide falls from 1 × 1011 Bq to 2 × 1010 Bq in 10 hours. Calculate the half life of the nuclide.What is the binding energy per nucleon for the following isotopes? Suppose that mn = 1.008665 u, m1H =1.007825 u, 1u= 931.494 MeV/c2. 1) What is the binding energy per nucleon for 90Sr? (Express your answer to six significant figures.) 2) What is the binding energy per nucleon for 129I? (Express your answer to six significant figures.) 3) What is the binding energy per nucleon for235U? (Express your answer to six significant figures.) 4) What is the binding energy per nucleon for 56Fe? (Express your answer to six significant figures.)Calculate the energy released in the following fission reaction: 232Tn + n → 99Kr +124Xe + 10n (Express your answer to five significant figures in MeV) Recall that the atomic masses are 232Th = 232.038051 u, 99Kr = 98.957606 u, and 124Xe = 123.905894 u.
- Show what is meant by the radioactive half-life of a radionuclide, using a suitable sketch graph. Mark two half-lives on your graph. Also use your graph to show the relationship of the halflife with τ, the decay constant, or characteristic decay time and τ−1, the decay rate.The isotope ¹C has a half-life of 5730 years. What percent (N/No) of the ¹4C in a buried animal 14 bone will remain after 45,000 years?Use the fact that there are 3.13x107 s/year. (a) The half-life of the radioactive nucleus 22688Ra is 1.58x103 years. What is the decay constant (in s-1) of 22688Ra? (b) If a sample of 22688Ra nuclei has a decay rate of 3.9x105 decays /s at t = 0, then what is the decay rate after the sample is 4740 years old?