When a plant or animal dies, its 14C content decreases with a half-life of t¹/2 = 5730 years. If an archaeologist find an ancient fire-pit containing partially consumed firewood and the 14C content of the wood is 15% of what would be for a similar carbon sample from a present day tree, what is the approximate age of the ancient site? 24.96.91.88 Enter your numerical result below, in units of years. Aim for a precision of 2 significant figures.
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- 1. The mass of a nucleus of plutonium (Pu23994) is 238.990396 u. Show that the binding energy per nucleon for plutonium is 7.6 MeV (show your work on scratch papers). 2. A radioactive isotope of an element decays with half-life 10 minutes. If originally there are 64 atoms in a sample of the element, what is the time that should pass until only one atom of the element is left out? What is the decay constant k?After a plant or animal dies, its 14C content decreases with a half-life of 5730 years. If an archaeologist finds an ancient firepit containing partially consumed firewood, and the 14C content of the wood is only 55.5% that of an equal carbon sample from a present-day tree, what is the age of the ancient site?Radioactive substances follow a specific law of decay. Namely, if you have a sample of some radioactive isotope, the quantity left after a certain time, called the half-life and denoted T1/2, is one-half of what you had initially. If you wait a second half-life, then there will be half f what was left at the end of the first half-life. Since 1/2-1/2 = 1/4, you will have one-fourth of the original quantity left after two half-lives. You can continue with this procedure to find the fraction of the original sample that hasn't decayed after any number of half- lives. However, this would become quite cumbersome if you are interested in the quantity left after, say, 10 half-lives. In this case, the quantity you are looking for would be found by multiplying the original quantity by 10 factors or 1/2. To solve this problem, we use exponents. An exponent, a small number written above and to the right, tells you how many copies of a particular number are multiplied together. In our example,…
- 866-0 hours. A radioactive sample contains 1.55g of of an isotope with half a life of 3.8 days. How much of the in grams remain after 150 tope 11.4 days?Radioactive decay can be described by the following equationln A = ln A0 - ktwhere A0 is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance.For the radioactive isotope strontium-90, k is 2.47 x 10-2 years -1.If the original amount of strontium-90 in a sample is 38.9 mg, how much strontium-90 remains after 28.4 years have passed?_____ mg.Please make sure you are sufficiently precise in your answers that the BE per nucleon can be calculated to 1% 08Zn has atomic mass 67.9248476 u. What is the mass in MeV/c2? Number What is the binding energy in MeV? Number What is the binding energy per nucleon in MeV? Number Estimate the radius of this nucleus. Give your answer with units. Number Units
- Hello please someone help me answer this problem set, thank you! Part A: A particular smoke detector contains 1.05 μCi of 241Am241Am, with a half-life of 458 years. The isotope is encased in a thin aluminum container. Calculate the mass of 241 Am in grams in the detector. Express your answer numerically in grams. Part B: Fears of radiation exposure from normal use of such detectors are largely unfounded. Identify reasons why 241 Am smoke detectors are perfectly safe. Select all that apply a. The penetrating power of αα radiation is limited. b. Ions get trapped by electrodes. c. The amount of americium is very little. d. The number of αα particles leaving the case is low. e. The detector has a plastic cover. f. The detector is housed in an aluminum case.The uranium isotope U-238 has a half-life of about 4.5 × 109 years. i) BOOKWORK Consider 1 mole (238 gm) of isotopically pure uranium U-238. Calculate its activity, and sketch a graph of the activity of the U-238 over the next ten billion years or so. Label the axes with appropriate numbers and units. Mark on the graph the half-life and the characteristic time of decay. ii) UNSEEN The uranium isotope U-238 decays through a chain of fourteen relatively short-lived radionuclides with half-lives of less than one million years before reaching a stable isotope of lead. Bricks, sand, tiles and other building materials typically have an activity of about 50 Bq per kg due to their primordial uranium content, the uranium made in stars and later present in the materials making up our rocks. Estimate the concentration of U-238 in building materials. First consider only the U-238, and then refine your estimate by taking the decay chain into account.Please answer the question below. any idea will help.
- An ancient artifact is found to contain 240 g of carbon and has an activity of 479 decays/min. Part A Q Search What is the approximate age of the artifact, to the nearest thousand years? (The rate of decay of carbon in living matter is R 16 decays/(g. min).) Express your answer to the nearest thousand years. 15| ΑΣΦ Submit Part B What would its initial activity have been? Ro= Request Answer 15. ΑΣΦ P Pearson W ? ? y Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | decays/min Revie 10:02 AM 12/12/2022Answer the following questions regarding the radioactive isotope radium-226. A.Write a nuclear equation for when this nucleus undergoes beta decay. B.What is the binding energy of a radium-226 nucleus? The mass of radium-226 is 226.02541 amu. C.A rock obtained by geologists was found to obtain 1.38 mg of radium-226. Later studies confirmed that 922 years prior, the rock contained 34.6 mg of radium-226. How many half-lives have elapsed? D.Based on your answer to Question C, determine the half-life of radium-226. E.Based on your answers to Questions C & D, determine the rate constant of the beta decay of radium-226The You-Yangs are a series of rocky granite ridges to the south-west of Melbourne, whose rocks contain crystals of titanite. A field student measures 98.27% of the titanite crystals contain the thorium isotope 232Th. If thorium has a half-life of ?1/2 =14 x 109 years, what is the student's estimate of the age of the You-Yangs? (Units: Years)