There is more than one isotope of natural uranium. If a researcher isolates 1.00 mg of the relatively scarce 235U and finds this mass to have an activity of 80.0 Bq, what is its half-life in years?
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There is more than one isotope of natural uranium. If a researcher isolates 1.00 mg of the relatively scarce 235U and finds this mass to have an activity of 80.0 Bq, what is its half-life in years?
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- A sample of carbon of mass 6.74 g taken from an animal jawbone has an activity of 4.00 decays/min. How old is the jawbone in years?In a piece of rock from the Moon, the 8/Rb content is assayed to be 1.89×1010 atoms per gram of material and the 8/Sr content is found to be 1.08x109 atoms per gram. (The relevant decay is 87Rb → 87Sr + e¯. The half-life of the decay is 4.8 x 10 yr.) 10 (a) Determine the age of the rock. yr (b) Could the material in the rock actually be much older? No, it could not be any older. Yes, it could be much older. (c) What assumption is implicit in using the radioactive-dating method? We assume that none of the 8/Sr nuclei came from the decay of 8/Rb nuclei. We assume that all of the 8'Sr nuclei came from the decay of 8'Rb nuclei. We assume that some of the 8Sr nuclei came from the decay of 87 Rb nuclei while the rest was present initially.A radioactive material produces 4.386E+3 decays per minute at one time, and 7.57 h later produces 679. decays per minute. What is its half-life, in hours?
- A nuclei has a half-life of 2.80 days. If 122 mCi were prepared but had a delay of 8.0 days. How much of the nuclei is lefted to use?The rate of spontaneous fi ssion in 238U is 6.7 decays per second for each kg of uranium present. The remaining decays of the 238U nuclide are alpha decays. What is the probability that decay will occur by spontaneous fi ssion?In a nuclear reactor accident, the 137Cs (?1/2 = 30.2 years) nuclide is among the most problematic fission products. The energy released by the B-decay of 137Cs into the stable 137Ba is 1.17 MeV. a) Why is 137Cs considered as one of the most problematic fission products in a reactor accident? Give two reasons. b)Give two possible ways that 137Cs is produced in a pressurized water reactor. Write down the corresponding equation in each process. c)What is the percentage of a sample of 137Cs that will decay in one year? [Hint: the lifetime r is related to the half-life ?1/2 by r = ?1/2 ln2 .] d)If the radiation dose limit is 20 mSv per annum, what is the maximum amount of 137Cs that a 60-kg person can swallow without affecting his health?
- A piece of charcoal used for cooking is found at the remains of an ancient campsite. A 1.19 kg sample of carbon from the wood has an activity of 2340 decays per minute. Find the age of the charcoal. Living mate- rial has an activity of 15 decays/minute per gram of carbon present and the half-life of 14C is 5730 y. Answer in units of y. I got 7300.99 but that wasn’t right Can you please help!Gamma rays may be used to kill pathogens in ground beef. One irradiation facility uses a 60Co source that has an activity of 1.0×10^6Ci. 60Co undergoes beta decay and then gives off two gamma rays, at 1.17 and 1.33MeV; typically 30% of this gamma-ray energy is absorbed by the meat. The dose required to kill all pathogens present in the beef is 4000Gy. How many kilograms of meat per hour can be processed in this facility? Express your answer in kilograms per hThe ceramic glaze on a red-orange Fiestaware plate is U2O3 and contains 50.5 grams of 238U, but very little 235U. (a) What is the activity of the plate (in Ci)? Ci (b) Calculate the total energy (in J) that will be released by the 238U decay. J (c) If energy is worth 12.5 cents per kW · h, what is the monetary value (in dollars) of the energy emitted? (These plates went out of production some 30 years ago, but are still available as collectibles.) $
- The half life for the decay of carbon-14 is 5.73* 10^3 years. Suppose the activity due to the radioactive decay of the carbon-14in a tiny sample of an artifact made of wood from an archeological dig is measured to be 3.5*10^3 Bq. The activity in a similar-sized sample of fresh wood is measured to be ×9.6103 Bq. Calculate the age of the artifact. Round your answer to 2 significant digits.a) What is the decay constant of fluorine-17 if its half-life is known to be 66.0 s? λ = b) How long will it take for the activity of a sample of 17F to decrease to 80% of its initial value? t80% =The isotope 238 U decays to 206Pb with a half-life of 4.47 x 10° y. (Although the decay occurs in many individual steps, the first step has by far the longest half-life, so the decay can be considered to go straight to lead.) A rock recovered far underground is found to contain 0.76 mg of 238U, 0.17 mg of 206pb, and 1.4 mg of 40 Ar. Assume that 40K decays to only 40 Ar with a half-life of 1.25 x 10 y. How much 40K will it likely contain? mg