An old wooden tool is found with 20 percent of ¹4C when compared to fresh wood Estimate the age of the old tool.
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Q: An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 392 g…
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A: half life of 14C is amount left N= 18% of N0
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Q: A piece of wood found at an archeological site was found to have an activity of 14C activity 28% of…
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- Unstable nuclei will decay into stable ones. This process is called radioactive decay. This process can be used to calculate the age of organic compounds.
- Radiocarbon dating is a method for determining the age of an object containing organic material by using the properties of radiocarbon, a radioactive isotope of carbon.
- Radioactive decay is exponential in nature and can be written as,
Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.
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- Half of the mass of a piece of wood just cut from a tree consists of carbon. The piece of wood emits 9322 electrons per minute and among the elements that compose it only one is radioactive. Assuming that in a tree the isotopic abundance of ¹4C is 1.3 x 10-¹2, 14 estimate the weight of the piece of wood in grams to 1dpAn archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 146 g (HINT: Assume all the carbon is 12C and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 26 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died was 1.25×10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022×1023 particles, 1 y = 365.25 days, & 1 day = 24 h.age of bone =Based on data acquired during a radioactive decay lab using an unusual assortment of geometrically novel dice, the following trendline equation for an R vs. rolls graph is obtained: y = 321.03e-0.41x. Determine the decay constant, mean life, half-life, Nor & Ro. decay constant = mean life = half-life = R₂ = No = rolls rolls decays/roll dice rolls-1
- A piece of charcoal containing 25.0 g of carbon is found in some ruins of an ancient city. The sample shows a 14C activity R of 250 decays/min. How long has the tree from which this charcoal came been dead?Marie and Pierre Curie managed to extract 1 mg of radium from ten tonnes of uranium ore in 1898. The number of atoms in 1 mg of radium is 2.66 x 10¹8. Calculate a) The decay constant for radium-226How much energy (in MeV) is released in the following nuclear reaction? 'n+ U → Ba+ Kr +3 ,n 92 56 MeV
- (2) What is the mass defect of a He atom if the atomic mass is 4.002603 amu? Answer: --- mass defect 0.030377 amu Am = (3) What mass of fuel must be consumed in a nuclear reactor to produce 36 x 10 Joules? (4) If 5 kg of fuel is consumed in a nuclear reactor how much energy is released?Q3) This problem uses the semi-empirical mass formula to investigate the masses of isobars with A=100 and their decays. ) Using the semi-empirical mass formula (SEMF) for atomic masses, predict the isobar of A=100 with the lowest mass. 100- II) The mass of Tc is 99.90765 u compared to 99.9042197 u for 9Ru. Which terms in the SEMF change between the two nuclei? Calculate the change in each contribution. Compare the overall difference in mass for the two nuclei predicted by the SEMF with the experimental value for the difference in mass. 100 424 III) List the possible decay modes for Tc and the energy released in each decay. Note, 22Mo has a mass of 99.907477 u. C M Is it possible for 299Mo to decay and if so, how?Radon gas has a half-life of 3.83 days. If 2.92 g of radon gas is present at time t = 0, what mass of radon will remain after 2.20 days have passed? g