Physics (5th Edition)
5th Edition
ISBN: 9780134051802
Author: Walker
Publisher: PEARSON
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Chapter 32, Problem 6CQ
To determine
In context to the age of the item that cannot be dated by carbon dating method.
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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?
Q2) Since the half-life of U-235 (7.13x108 years) is less than that of U-238 (4.51x 10⁹ years). The isotopic
abundance of U-235 has been steadily decreasing since the earth was formed about 4.5 billion years ago.
Determine how long ago the isotopic abundance of U-235 was equal to 3.0 weight percent, that is, the
enrichment of the uranium used in many nuclear power plants. The present day isotopic abundance of U-
235 is 0.72%.
8. The half-life for a radioactive isotope is 4.00 × 10⁹ yr. Determine the age (in years) of a rock specimen that contains
sixty percent of its original number of radioactive atoms.
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Chapter 32 Solutions
Physics (5th Edition)
Ch. 32.1 - Prob. 1EYUCh. 32.2 - A given nucleus can decay by alpha decay, beta...Ch. 32.3 - Prob. 3EYUCh. 32.4 - Prob. 4EYUCh. 32.5 - Prob. 5EYUCh. 32.6 - Prob. 6EYUCh. 32.7 - Prob. 7EYUCh. 32.8 - Prob. 8EYUCh. 32.9 - Prob. 9EYUCh. 32 - Prob. 1CQ
Ch. 32 - Prob. 2CQCh. 32 - Prob. 3CQCh. 32 - Prob. 4CQCh. 32 - Prob. 5CQCh. 32 - Prob. 6CQCh. 32 - Prob. 7CQCh. 32 - Prob. 8CQCh. 32 - Prob. 9CQCh. 32 - Prob. 1PCECh. 32 - Prob. 2PCECh. 32 - Prob. 3PCECh. 32 - Prob. 4PCECh. 32 - Prob. 5PCECh. 32 - Prob. 6PCECh. 32 - Prob. 7PCECh. 32 - Prob. 8PCECh. 32 - Prob. 9PCECh. 32 - Prob. 10PCECh. 32 - Prob. 11PCECh. 32 - Prob. 12PCECh. 32 - Prob. 13PCECh. 32 - Prob. 14PCECh. 32 - Prob. 15PCECh. 32 - Prob. 16PCECh. 32 - Prob. 17PCECh. 32 - Prob. 18PCECh. 32 - Prob. 19PCECh. 32 - Prob. 20PCECh. 32 - Prob. 21PCECh. 32 - Prob. 22PCECh. 32 - Prob. 23PCECh. 32 - Prob. 24PCECh. 32 - Prob. 25PCECh. 32 - Prob. 26PCECh. 32 - Prob. 27PCECh. 32 - Prob. 28PCECh. 32 - Suppose we were to discover that the ratio of...Ch. 32 - A radioactive sample is placed in a closed...Ch. 32 - Radon gas has a half-life of 3.82 d. What is the...Ch. 32 - Prob. 32PCECh. 32 - The number of radioactive nuclei in a particular...Ch. 32 - Prob. 34PCECh. 32 - Prob. 35PCECh. 32 - Prob. 36PCECh. 32 - Prob. 37PCECh. 32 - Prob. 38PCECh. 32 - Prob. 39PCECh. 32 - Prob. 40PCECh. 32 - Prob. 41PCECh. 32 - Prob. 42PCECh. 32 - Prob. 43PCECh. 32 - Prob. 44PCECh. 32 - Prob. 45PCECh. 32 - Prob. 46PCECh. 32 - Prob. 47PCECh. 32 - Prob. 48PCECh. 32 - Prob. 49PCECh. 32 - Prob. 50PCECh. 32 - Prob. 51PCECh. 32 - Prob. 52PCECh. 32 - Prob. 53PCECh. 32 - Prob. 54PCECh. 32 - Prob. 55PCECh. 32 - Consider a fusion reaction in which two deuterium...Ch. 32 - Prob. 57PCECh. 32 - Prob. 58PCECh. 32 - Prob. 59PCECh. 32 - Prob. 60PCECh. 32 - Prob. 61PCECh. 32 - Prob. 62PCECh. 32 - Prob. 63PCECh. 32 - Prob. 64PCECh. 32 - Prob. 65PCECh. 32 - Prob. 66PCECh. 32 - Prob. 67PCECh. 32 - Prob. 68GPCh. 32 - Prob. 69GPCh. 32 - Prob. 70GPCh. 32 - Prob. 71GPCh. 32 - Prob. 72GPCh. 32 - Prob. 73GPCh. 32 - Moon Rocks In one of the rocks brought back from...Ch. 32 - Prob. 75GPCh. 32 - Prob. 76GPCh. 32 - Prob. 77GPCh. 32 - Prob. 78GPCh. 32 - Prob. 79GPCh. 32 - Prob. 80GPCh. 32 - Prob. 81GPCh. 32 - Prob. 82GPCh. 32 - Prob. 83GPCh. 32 - Prob. 84GPCh. 32 - Prob. 85GPCh. 32 - Prob. 86GPCh. 32 - Prob. 87GPCh. 32 - Prob. 88GPCh. 32 - Prob. 89PPCh. 32 - Prob. 90PPCh. 32 - Prob. 91PP
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- 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?arrow_forwardCarbon-14 dating measures the ratio of carbon-14 not to its daughter, nitrogen-14, but instead to what isotope?arrow_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
- A 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_forwardAssume 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_forwardA 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 of the sample. In this model, Q(t) represents the amount of carbon-14 remaining t years after death, and Qo represents the initial amount of carbon-14 at the time of death. Round to the nearest 100 yr.arrow_forward
- Why is carbon dating ineffective in finding the ages of dinosaur bones?arrow_forward37. A sample of 4 g of cobalt isotope is produced. If the half-life of is 30 years, what will be the mass of the cobalt remaining after 90 years? Please show all work (ref: p.808-813) hulu video F2 F3 F4 FS F6 F7 F8 FS & 5 8. R Y (O 图 图 LO T LLarrow_forwardA fossilized bone is found to contain one-thousandth of the C-14 level found in living matter. Estimate the age of the fossil. Half life of C-14 is 5600 years. Solve for proportionality constant.arrow_forward
- One possible problem with carbon dating is contamination with modern carbon sources. Suppose an archaeologist has unearthed and carbon-dated a fragment of wood that has absorbed carbon of recent vintage from organic molecules in groundwater. Does he underestimate or overestimate the age of the wood?arrow_forwardThe amount of carbon-14 found in a fossil of a tree is around 0.05% when compared to fresh wood of the same kind. Estimate the age of the fossil.arrow_forwardA picture supposedly painted by Vermeer (1632-1675) contains 99.5% of its carbon-14 (half-life of 5730 years). 1. Is this enough information to determine if the picture is a fake? 2. What is the strategy for attacking the problem?arrow_forward
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