21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 8, Problem 42QP
(a)
To determine
The reason for an isotope with a half-lives like that carbon-14 is the poor choice of determination of age of solar system.
(b)
To determine
Whether it is mean that no rubidium-87 has decayed yet if the half-lives of rubidium is
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C^14, a form of carbon that is used to find the age of fossils has a half life of 5730 years. how much of a 10 gram sample is left after 13,000 years?
A radioactive isotope has a half-life of 1.2 billion years. As measured by the presence of the isotope and its stable decay product, a rock originally contained 10 grams of the radioactive isotope, and now contains 1.25 grams. Approximately how many years old is the rock?
What is "half-life"?
Select one:
a. The time needed for half of the radioactive atoms in a sample to decay
b. the time needed for a radioactive atom to lose half its energy
c. the time needed for the mass of a radioactive atom to decrease by one-half
Chapter 8 Solutions
21st Century Astronomy
Ch. 8.1 - Prob. 8.1CYUCh. 8.2 - Prob. 8.2CYUCh. 8.3 - Prob. 8.3ACYUCh. 8.3 - Prob. 8.3BCYUCh. 8.4 - Prob. 8.4CYUCh. 8.5 - Prob. 8.5CYUCh. 8.6 - Prob. 8.6CYUCh. 8 - Prob. 1QPCh. 8 - Prob. 2QPCh. 8 - Prob. 3QP
Ch. 8 - Prob. 4QPCh. 8 - Prob. 5QPCh. 8 - Prob. 6QPCh. 8 - Prob. 7QPCh. 8 - Prob. 8QPCh. 8 - Prob. 9QPCh. 8 - Prob. 10QPCh. 8 - Prob. 11QPCh. 8 - Prob. 12QPCh. 8 - Prob. 13QPCh. 8 - Prob. 14QPCh. 8 - Prob. 15QPCh. 8 - Prob. 16QPCh. 8 - Prob. 17QPCh. 8 - Prob. 18QPCh. 8 - Prob. 19QPCh. 8 - Prob. 20QPCh. 8 - Prob. 21QPCh. 8 - Prob. 22QPCh. 8 - Prob. 23QPCh. 8 - Prob. 24QPCh. 8 - Prob. 25QPCh. 8 - Prob. 26QPCh. 8 - Prob. 27QPCh. 8 - Prob. 28QPCh. 8 - Prob. 29QPCh. 8 - Prob. 30QPCh. 8 - Prob. 31QPCh. 8 - Prob. 32QPCh. 8 - Prob. 33QPCh. 8 - Prob. 34QPCh. 8 - Prob. 35QPCh. 8 - Prob. 36QPCh. 8 - Prob. 37QPCh. 8 - Prob. 38QPCh. 8 - Prob. 39QPCh. 8 - Prob. 40QPCh. 8 - Prob. 41QPCh. 8 - Prob. 42QPCh. 8 - Prob. 43QPCh. 8 - Prob. 44QPCh. 8 - Prob. 45QP
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- You want to use radiometric dating to determine the age of a specimen. You use Isotope Z, which has a half-life of 645 years. You measure your sample and find that 1/16 of the original amount of Isotope Z is present. How old is the sample?arrow_forwardMeihui is at NASA analyzing Moon rocks. In one of the rocks from the lunar highlands, he discovered 49 % of the original uranium-238 remains, while remaining amount of uranium-238 had decayed into lead. The half life of uranium-238 is 4.5 × 109 years. Assume the only decay product is lead. How old is the lunar maria rock in billions of years (109 years)?arrow_forwardA piece of fossilized wood has a carbon 14 radioactivity that is one eighth that of new wood. The half-life of carbon-14 is 5730 years how old is the wood?arrow_forward
- A sample of carbon-14 has a mass of 2.0 × 10–6 g. Carbon-14 has a half-life of 6000 years. How much carbon-14 will be left after 24 000 years? How would I sovle this?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_forwardThe abundance of 40K is 0.012% of total natural potassium. The human body is 0.25% potassium by mass. The half-life of 40K is 1.25 x 109 years. What is the mass of potassium in a 70 kg human adult?arrow_forward
- 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? _______ yrsarrow_forwardThe half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as much of its carbon -14 as compared to a living sample. How old is the fossil?arrow_forwardif the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives?arrow_forward
- How Do We know? The evidence is overwhelming in support of the idea that the Grand Canyon was dug over a span of millions of years by the erosive power of the Colorado River and its tributary streams. Is that a catastrophic theory or an evolutionary theory?arrow_forwardIf the half-life of a radioactive specimen is 100 years, then how long will it take for the specimen to reach 25% of its original amount? (24.3) (a) 25 years (b) 50 years (c) 100 years (d) 200 yearsarrow_forwardCarbon-14 dating measures the ratio of carbon-14 not to its daughter, nitrogen-14, but instead to what isotope?arrow_forward
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