University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 10, Problem 78AP
A group of scientists use carbon dating to date a piece of wood to be 3 billion years old. Why doesn’t this make sense?
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Uranium-lead (U-Pb) dating of geological samples is one of the oldest and most refined radiometric dating methods, able to determine ages of about 1 million years to over 4.5 billion years with precision in the 0.1–1% range. The U-Pb dating method relies on two separate decay chains, one of which is the actinium series from 235U to 207Pb, with a half-life of 704 million years.
Geologists unearth a sample of zircon that appears to be a closed system. They find 0.714 grams of 207Pb for 1.000 grams of 235U present. Approximately how old is the sample?
_______ yrs
A group of scientists use carbon dating to date a piece of wood to be 3 billion
years old. Why doesn't this make sense?
A certain specimen of charcoal contains 55% of Carbon-14 as compared to a charcoal at present day. If the decay factor k=0.0001216 per year, Determine the age of the charcoal and the half-life of the specimen.
Chapter 10 Solutions
University Physics Volume 3
Ch. 10 - Check Your Understanding Nucleus X is two times...Ch. 10 - Check Your Understanding If the binding energy per...Ch. 10 - Check Your Understanding A radioactive nuclide has...Ch. 10 - Check Your Understanding In radioactive beta...Ch. 10 - Check Your Understanding Which has a larger energy...Ch. 10 - Check Your Understanding Where does the energy...Ch. 10 - Check Your Understanding Radiation propagates in...Ch. 10 - Define and make clear distinctions between the...Ch. 10 - What are isotopes? Why do isotopes of the same...Ch. 10 - Explain why a bound system should have less mass...
Ch. 10 - Why is the number of neutrons greater than the...Ch. 10 - To obtain the most precise value of the binding...Ch. 10 - How is the initial activity rate of a radioactive...Ch. 10 - For the carbon dating described in this chapter,...Ch. 10 - What is the key difference and the key similarity...Ch. 10 - What is the difference between rays and...Ch. 10 - What characteristics of radioactivity show it to...Ch. 10 - Consider Figure 10.12. If the magnetic field is...Ch. 10 - Why is Earth’s core molten?Ch. 10 - Should an atomic bomb really be called nuclear...Ch. 10 - Why does a chain reaction occur dining a fission...Ch. 10 - In what way is ail atomic nucleus like a liquid...Ch. 10 - Explain the difference between nuclear fission and...Ch. 10 - Why does the fusion of light nuclei into heavier...Ch. 10 - IB. Wliv is a PET scan more accurate than a SPECT...Ch. 10 - Isotopes that emit a radiation are relatively safe...Ch. 10 - Ionizing radiation can impair the ability of a...Ch. 10 - Find the atomic numbers, mass numbers, and neutron...Ch. 10 - Silver has two stable isotopes. The nucleus,...Ch. 10 - The mass (M) and the radius (r) of a nucleus can...Ch. 10 - A particle has a mass equal to 10 u. If this mass...Ch. 10 - Find the length of a side of a cube having a mass...Ch. 10 - The detail that you can observe using a probe is...Ch. 10 - How much energy would be released if six hydrogen...Ch. 10 - Find the mass defect and the binding energy for...Ch. 10 - 56 Fe is among the most tightly bound of all...Ch. 10 - is the heaviest stable nuclide, and its BEN is low...Ch. 10 - (a) Calculate BEN for 235U, the rarer of the two...Ch. 10 - The fact that BEN peaks at roughly A = 60 implies...Ch. 10 - A sample of radioactive material is obtained from...Ch. 10 - Show that: T=1.Ch. 10 - The half-life of strondum-91, 3891Sris 9.70 h....Ch. 10 - A sample of pure carbon-14 ( T1/2=5730y ) has an...Ch. 10 - A radioactive sample initially contains 2.40102...Ch. 10 - An old campfire is uncovered during an...Ch. 10 - Calculate the activity R , in curies of 1.00 g of...Ch. 10 - Natural uranium consists of 235U(percent abundance...Ch. 10 - World War II aircraft bad instruments with glowing...Ch. 10 - , The 210Po source used in a physics laboratory is...Ch. 10 - Armor-piercing shells with depleted uranium cores...Ch. 10 - undergoes alpha decay, (a) Write the reaction...Ch. 10 - (a) Calculate the energy released in the a decay...Ch. 10 - The particles emitted in the decay of 3H (tritium)...Ch. 10 - (a) Write the complete decay equation for 90Sr, a...Ch. 10 - Write a nuclear decay reaction that produces the...Ch. 10 - Write the complete decay equation in the complete...Ch. 10 - If a 1.50-cm-thick piece of lead can absorb 90.0%...Ch. 10 - An electron can interact with a nucleus through...Ch. 10 - (a) Write the complete reaction equation for...Ch. 10 - A rare decay mode has been observed in which...Ch. 10 - A large power reactor that has been in operation...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - The electrical power output of a large nuclear...Ch. 10 - Find the total energy released if 1.00 kg of...Ch. 10 - Verify that the total number of nucleons, and...Ch. 10 - Calculate the energy output in each of the fusion...Ch. 10 - Show that the total energy released in the proton-...Ch. 10 - Two fusion reactions mentioned in the text are...Ch. 10 - The power output of the Sun is 41026 W. (a) If 90%...Ch. 10 - Another set of reactions that fuses hydrogen into...Ch. 10 - (a) Calculate the energy released by the fusion of...Ch. 10 - What is the dose in mSv for: (a) a 0.1-Gy X-ray?...Ch. 10 - Find the radiation dose in Gy for: (a) A 10-mSv...Ch. 10 - Find the mass of 239Puthat has an activity of...Ch. 10 - In the 19805, the term picowave was used to...Ch. 10 - What is the dose in Sv in a cancer treatment that...Ch. 10 - One half the rays from 99mTcare absorbed by a...Ch. 10 - How many Gy of exposure is needed to give a...Ch. 10 - A plumber at a nuclear power plant receives a...Ch. 10 - Calculate the dose in rem/y for the lungs of a...Ch. 10 - The wiki-phony site states that the atomic mass of...Ch. 10 - A particle physicist discovers a neutral particle...Ch. 10 - A nuclear physicist finds 1.0of 236Uin a piece of...Ch. 10 - A group of scientists use carbon dating to date a...Ch. 10 - According to your lab partner, a 2.00-cm-thick...Ch. 10 - In the science section of the newspaper, an...Ch. 10 - The ceramic glaze on a red-orange “Fiestaware”...Ch. 10 - Large amounts of depleted uranium (238U)are...Ch. 10 - A piece of wood from an ancient Egyptian tomb is...Ch. 10 - This problem demonstrates that the binding energy...Ch. 10 - The Galileo space probe was launched on its long...Ch. 10 - Find the energy emitted in the decay of 60Co .Ch. 10 - Engineers are frequently called on to inspect and,...Ch. 10 - If two nuclei are to fuse in a nuclear reaction,...Ch. 10 - For the reaction, sw n+3He4He+ , find the amount...Ch. 10 - Engineers are frequently called on to inspect and,...
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- 4. a) A fossilised tree was tested and contains 10 grams of Carbon-14. Given that there was 12 grams of Carbon-14 present when it died, determine the age of the fossil? (Hint - the half-life of Carbon-14 is stated in the module, from this you can find the decay constant) b) How much Carbon-14 will be present in the sample in 100 years from now?arrow_forwardA rock sample contains two radioactive elements A and B, with half lives of 8000 and 16000 years respectively. If the relative proportion of AB is initially 1: 1, what is their relative proportion after 16000 years? 2:1 3:1 12 1.3arrow_forwardA fossil is found that contains 6.25% as much Radium-226 as fossils being formed today. The half-life of Radium -226 is 1.60 x103 years. How old is the fossil? Hint: How many half-lives did the Radium-226 go through for 6.25% to remain? So, how many years have passed over 4 half lives?arrow_forward
- Why is carbon dating ineffective in finding the ages of dinosaur bones?arrow_forwardIn a certain rock, the ratio of lead atoms to uranium atoms is 0.300.Assume that uranium has a half-life of 4.47 × 10^9 y and that the rock had no lead atoms when it formed. How old is the rock?arrow_forwardDetermine the age of a certain rock sample: carbon -14 half life = 5730 years. An archeology dig unearths a skeleton. Analysis shows is a C-14 activity of 1Cpm per gram of total carbon. Approximately how old is the skeleton?(Original C-14 Activity= 16Cpm)arrow_forward
- What is carbon-14 dating?arrow_forwardThe half-life for a particular isotope is 5 seconds. Suppose there are initially 380 grams present in a specimen. Find how much of the specimen remains after 8 seconds. (Your answer should contain about 4 or 5 significant digits.) Determine how long it will take for there to be 240 grams remaining. (Your answer should contain about 4 or 5 significant digits.)arrow_forwardPhosphorus-32 has a half-life of 14.0 days. Starting with 8.00 g of 32P, how many grams will remain after 98.0 days ? Carbon-14 has a half-life of 5730 years. In a plant fossil, you find that the 14C has decayed to 1/16.0 of the original amount. How long ago was this plant alive?arrow_forward
- Explain how "carbon dating" is used to establish the age of once living things.arrow_forwardA fossilized leaf contains 70% of its normal amount of carbon-14.(a) How old is the fossil? Use 5730 years as the half-life of carbon-14.(b) Using a graphing utility, graph the relation between the percentage of carbon-14 remaining and time.(c) Using INTERSECT, determine the time that elapses until one-fourth of the carbon-14 remains.(d) Verify the answer found in part (a).arrow_forwardPotassium (40K) decays to Argon (40Ar) with a half-life value of 1.3 billion years. 40K is the parent isotope and 40Ar is the daughter isotope. Laboratory analysis of a rock sample showed that there are 0.13ppm of 40K and an equal amount of 40Ar in the rock. (ppm: parts per million) Based on the laboratory results, ________________ half-live(s) have elapsed and the age of the rock is __________. Select from the following and explain. A. 0; 0 years B. 3; 4.5 billion years C. 1; 1.3 billion years D. 13; 6 billion years E. 13; 1.0 billion yearsarrow_forward
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