Conceptual Integrated Science
3rd Edition
ISBN: 9780135197394
Author: Hewitt, Paul G., LYONS, Suzanne, (science Teacher), Suchocki, John, Yeh, Jennifer (jennifer Jean)
Publisher: PEARSON EDUCATION (COLLEGE)
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Chapter 10, Problem 40TS
To determine
To find:
The proof that the original amount of carbon-14 must have been about
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A sample from human remains found near Stonehenge in
England shows that 71.2% of the carbon-14 still remains.
Use the model Q(1) = Qe-0.000121 to determine the age
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represents the initial amount of carbon-14 at the time of
death. Round to the nearest 100 yr.
In 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?
Radioactive substances follow a specific law of decay.
Namely, if you have a sample of some radioactive isotope,
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a second half-life, then there will be half f what was left at
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Chapter 10 Solutions
Conceptual Integrated Science
Ch. 10 - Prob. 1RCQCh. 10 - Prob. 2RCQCh. 10 - Prob. 3RCQCh. 10 - Prob. 4RCQCh. 10 - What role do neutrons play in the atomic nucleus?Ch. 10 - Prob. 6RCQCh. 10 - Prob. 7RCQCh. 10 - What is the long-range fate of all the uranium...Ch. 10 - What is meant by the half-life of a radioactive...Ch. 10 - What is the half-life of uranium-238?
Ch. 10 - Prob. 11RCQCh. 10 - Prob. 12RCQCh. 10 - Prob. 13RCQCh. 10 - Prob. 14RCQCh. 10 - Prob. 15RCQCh. 10 - How does the mass per nucleons in uranium compare...Ch. 10 - What is the origin of the most of the natural...Ch. 10 - Prob. 18TISCh. 10 - Is radioactivity on Earth something relatively...Ch. 10 - What happens to a nitrogen atom in the atmosphere...Ch. 10 - Prob. 21TISCh. 10 - Why is lead found in all deposits of uranium ores?Ch. 10 - How does the mass of a pair of atoms that have...Ch. 10 - Prob. 24TISCh. 10 - What kind of nuclear power is responsible for...Ch. 10 - Rank these three types of radiation by their...Ch. 10 - Consider the atoms C-12, C-14, and N-14. From...Ch. 10 - Rank these isotopes in order of their...Ch. 10 - Rank the following in order from the most energy...Ch. 10 - Prob. 34TSCh. 10 - Consider a radioactive sample with a half-life of...Ch. 10 - A radioisotope is placed near a radiation...Ch. 10 - Uranium-238 absorbs a neutron and then emits a...Ch. 10 - The formula for the half-life can be expressed as...Ch. 10 - The formula for the half-life can be expressed as...Ch. 10 - Prob. 40TSCh. 10 - Why is it both impractical and impossible to...Ch. 10 - Prob. 42TECh. 10 - Prob. 43TECh. 10 - Prob. 44TECh. 10 - Prob. 45TECh. 10 - Prob. 46TECh. 10 - Prob. 47TECh. 10 - Prob. 48TECh. 10 - Prob. 49TECh. 10 - Prob. 50TECh. 10 - Prob. 51TECh. 10 - Prob. 52TECh. 10 - How is the rate of transmutation related to...Ch. 10 - Why is lead found in all deposits of uranium ores?Ch. 10 - Prob. 55TECh. 10 - Elements heavier than uranium in the periodic...Ch. 10 - If you make an account of 1000 people born in the...Ch. 10 - How does radioactivity allow archeologists to...Ch. 10 - What does the proportion of lead and uranium in...Ch. 10 - Radium-226 is a common isotope on Earth, but it...Ch. 10 - Prob. 61TECh. 10 - Prob. 62TECh. 10 - Prob. 63TECh. 10 - Prob. 64TECh. 10 - Name three fissionable isotopes.Ch. 10 - Prob. 66TECh. 10 - Prob. 67TECh. 10 - Why is carbon better than lead as a moderator in...Ch. 10 - Prob. 69TECh. 10 - Prob. 70TECh. 10 - Prob. 71TECh. 10 - Prob. 72TECh. 10 - Prob. 73TECh. 10 - Prob. 74TECh. 10 - Prob. 75TECh. 10 - How does the mass per nucleon in uranium compare...Ch. 10 - Prob. 77TECh. 10 - Prob. 78TECh. 10 - Prob. 79TECh. 10 - Prob. 80TECh. 10 - How does the energy of the gasoline come from...Ch. 10 - Prob. 82TECh. 10 - Prob. 83TECh. 10 - Prob. 84TECh. 10 - Prob. 85TECh. 10 - Prob. 86TECh. 10 - Prob. 87TECh. 10 - Prob. 88TECh. 10 - Prob. 89TECh. 10 - Prob. 90TECh. 10 - Prob. 91TDICh. 10 - The 1986 accident at the Chernobyl, in which...Ch. 10 - Your friend Paul says that the helium used to...Ch. 10 - Prob. 94TDICh. 10 - Prob. 95TDICh. 10 - Prob. 96TDICh. 10 - Prob. 1RATCh. 10 - Prob. 2RATCh. 10 - A sample of radioactive material is usually a...Ch. 10 - What evidence supports the contention that the...Ch. 10 - When the isotope bismuth-213 emits an alpha...Ch. 10 - Prob. 6RATCh. 10 - Prob. 7RATCh. 10 - Prob. 8RATCh. 10 - Prob. 9RATCh. 10 - If an iron nucleus split in two, its fission...
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- What fraction of a radioactive sample has decayed after two half-lives have elapsed?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_forwardA radioactive sample initially contains 2.40102 mol of a radioactive material whose half-life is 6.00 h. How many moles of the radioactive material remain after 6.00 h? After 12.0 h? After 36.0 h?arrow_forward
- Assume that the rate of decay of a radioactive substance is proportional to the amount of the substance present. The half-life of a radioactive substance is the time it takes for one-half of the substance to disintegrate. Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire. Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Complete parts (a) through (e) below.arrow_forwardOne method for determining the age of ancient objects is by radiocarbon dating. Natural processes convert nitrogen to Carbon-14, a radioactive isotope with a half-life of 5730 years. When they are alive, animals assimilate Carbon-14 through the food chain. When an animal dies, it stops replacing its carbon and the amount of Carbon-14 decays exponentially. (a) Suppose the minimum detectable amount is 0.1% of the initial amount. What is the maximum age of a fossil that we could date using Carbon-14? (b) Suppose we wanted to date a fossil that was potentially 70 million years old. A radioactive isotope with what half-life would be required?arrow_forwardA sample of radioactive material is obtained from a very old rock. The activity of the rock over a period of time is monitored, and lnA is plotted as a function of t such as in Figure (b). The slope of the line has a value of -6.1 ×10^−8y^−1. FInd the half-life in years.arrow_forward
- In 1991, two hikers in the Alps, between Italy and Austria, discovered the remains of a well-preserved mummy that dates back to the Ice Age. The activity of C-14 in the remains of the Iceman was measured to be 0.1222 Bq per gram. In a living organism the rate of radioactive decay of C-14 is 0.2310 Bq per gram. Determine how long ago the Iceman lived. The half-life of C-14 is 5730 years. (in yr) OA: 2528 OB: 2857 oC: 3228 OD: 3648 E: 4122 OF: 4658 OG: 5264 OH: 5948arrow_forwardIn 1991, two hikers in the Alps, between Italy and Austria, discovered the remains of a well-preserved mummy that dates back to the Ice Age. The activity of C-14 in the remains of the Iceman was measured to be 0.1220 Bq per gram. In a living organism the rate of radioactive decay of C-14 is 0.2310 Bq per gram. Determine how long ago the Iceman lived. The half-life of C-14 is 5730 years. (in yr) OA: 1732 OB: 2511 OC: 3641 OD: 5280 OE: 7655 OF: 11100 OG: 16095 OH: 23338arrow_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
- Material found with the body had a C-14 activity of about 0.215 Bq per gram of carbon, where the A0 = 0.23 Bq per gram. If the half-life of C-14 is 5730yrs, determine the age of the Iceman’s remains.arrow_forwardThe 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)arrow_forwardPotassium-argon dating is used to measure the age of rocks formed from cooled lava by determining the fraction of the original 40K remaining in a sample from the ratio of 40K:40Ar. Unusually, potassium-40 decays into both 40Ca (89.1% of the time) and 40Ar (10.9% of the time) with a half-life of 1:248 x 10^9 years.1. What is the calculated age of a sample in which the faction of 40K remaining was found to be 0.0043?2. Is this result physically plausible?arrow_forward
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