Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 42, Problem 62P
To determine
To calculate:
how much of 206Pb atoms that the rock contains now.
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A particular rock is thought to be 260 million years old. If it contains 3.70 mg of 238U, how much 206Pb should it contain?
Two rocks are found that have different ratios R' of 238U to 206Pb: R' = 0.76 and 3.1. What are the ages of the two rocks? Did they likely have the same origin?
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Chapter 42 Solutions
Fundamentals of Physics Extended
Ch. 42 - Prob. 1QCh. 42 - Prob. 2QCh. 42 - Prob. 3QCh. 42 - Prob. 4QCh. 42 - Prob. 5QCh. 42 - Prob. 6QCh. 42 - Prob. 7QCh. 42 - Prob. 8QCh. 42 - Prob. 9QCh. 42 - Prob. 10Q
Ch. 42 - Prob. 11QCh. 42 - Prob. 12QCh. 42 - a Which of the following nuclides are magic:...Ch. 42 - Prob. 14QCh. 42 - Prob. 15QCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - A 10.2 MeV Li nucleus is shot directly at the...Ch. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - A penny has a mass of 3.0 g. Calculate the energy...Ch. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - The half-life of a particular radioactive isotope...Ch. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Calculate the mass of a sample of initially pure...Ch. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - A dose of 8.60 Ci of a radioactive isotope is...Ch. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 42PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65PCh. 42 - Prob. 66PCh. 42 - Prob. 67PCh. 42 - Prob. 68PCh. 42 - Prob. 69PCh. 42 - Prob. 70PCh. 42 - Prob. 71PCh. 42 - Prob. 72PCh. 42 - Prob. 73PCh. 42 - Prob. 74PCh. 42 - Prob. 75PCh. 42 - Prob. 76PCh. 42 - Prob. 77PCh. 42 - Prob. 78PCh. 42 - Prob. 79PCh. 42 - Prob. 80PCh. 42 - Prob. 81PCh. 42 - Prob. 82PCh. 42 - Prob. 83PCh. 42 - Prob. 84PCh. 42 - Prob. 85PCh. 42 - Prob. 86PCh. 42 - Prob. 87PCh. 42 - Characteristic nuclear time is a useful but...Ch. 42 - Prob. 89PCh. 42 - Using a nuclidic chart, write the symbols for a...Ch. 42 - If the unit for atomic mass were defined so that...Ch. 42 - Prob. 92PCh. 42 - Prob. 93PCh. 42 - Prob. 94PCh. 42 - Prob. 95PCh. 42 - Prob. 96PCh. 42 - Prob. 97P
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- Enter the correct nuclide symbol in each open tan rectangle in Figure P43.25, which shows the sequences of decays in the natural radioactive series starting with the long-lived isotope uranium-235 and ending with the stable nucleus lead-207. Figure P43.25arrow_forward(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forward
- (a) If the average molecular mass of compounds in food is 50.0 g, how many molecules are mere in 1.00 kg at food? (b) How many ion pairs are created in 1.00 kg of food, if it is exposed to 1000 Sv and it takes 32.0 eV to create an ion pair? (c) Find the ratio of ion pairs to molecules. (d) If these ion pairs recombine into a distribution of 2000 new compounds, how many parts per billion is each?arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forwardSuppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0arrow_forward
- (a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forwardIn a 3109 yearold rock that originally contained some 238U, which has a halflife of 4.5109 years, we expect to find some 238U remaining in it. Why are 226Ra, 222Rn, and 210Po also found in such a rock, even though they have much shorter halflives (1600 years, 3.8 days, and 133 days, respectively)?arrow_forward(a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward
- (a) Calculate the number of grams of deuterium in an 80.000L swimming pool, given deuterium is 0.0150% of natural hydrogen. (b) Find the energy released in joules if this deuterium is fused via the reaction 2H+2H3He+n. (c) Could the neutrons be used to create more energy? (d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant.arrow_forward(a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardA radioactive element 235U is present in a Zircon sample with 3500 atoms. It is known that 235U has a half-life of 700 million years. How long would it take to decay to 115 atoms? A 3200.12 million years В 3449.35 million years 3825.00 million years 3500.45 million yearsarrow_forward
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