Foundations of Astronomy, Enhanced
13th Edition
ISBN: 9781305980686
Author: Michael A. Seeds; Dana Backman
Publisher: Cengage Learning US
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Chapter 19, Problem 7P
You analyze a sample of a meteorite that landed on Earth and find 15/16 of a certain type of radioactive atoms have decayed into the corresponding daughter atom. Calculate the number of half-lives that have occurred.
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A sample from a meteorite that landed on Earth has been analyzed, and the results shows that out of every 1,000 nuclei of potassium- 40 originally in the meteorite, only 125 are still present, meaning they have no yet decayed. How old is the meteorite (in yr)? (Hint: see the figure below) (Note: The half life of potassium- 40 is 1.3 billion years.)
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Chapter 19 Solutions
Foundations of Astronomy, Enhanced
Ch. 19 - Why is the solar nebula theory considered a theory...Ch. 19 - Why was the nebular hypothesis never fully...Ch. 19 - What produced the helium now present in the Suns...Ch. 19 - What produced the iron and heavier elements such...Ch. 19 - Prob. 5RQCh. 19 - What evidence can you give that disks of gas and...Ch. 19 - According to the solar nebula theory, why is...Ch. 19 - Prob. 8RQCh. 19 - Prob. 9RQCh. 19 - Why does the solar nebula theory predict that...
Ch. 19 - What evidence can you give that the Solar System...Ch. 19 - Prob. 12RQCh. 19 - Prob. 13RQCh. 19 - Prob. 14RQCh. 19 - Prob. 15RQCh. 19 - Prob. 16RQCh. 19 - Prob. 17RQCh. 19 - Prob. 18RQCh. 19 - Prob. 19RQCh. 19 - Prob. 20RQCh. 19 - Prob. 21RQCh. 19 - What planet in the Solar System is larger than the...Ch. 19 - Why is almost every solid surface in the Solar...Ch. 19 - Prob. 24RQCh. 19 - Prob. 25RQCh. 19 - Prob. 26RQCh. 19 - What is the difference between condensation and...Ch. 19 - Why dont Terrestrial planets have ring systems...Ch. 19 - How does the solar nebula theory help you...Ch. 19 - Prob. 30RQCh. 19 - If rocks obtained from the Moon indicate an age of...Ch. 19 - Which is older, the Moon or the Sun? How do you...Ch. 19 - How does the solar nebula theory explain the...Ch. 19 - Did hydrogen gas condense from the nebula as the...Ch. 19 - Prob. 35RQCh. 19 - What happens if a planet has differentiated? Would...Ch. 19 - Order the following steps in the formation of a...Ch. 19 - Which step(s) listed in the previous question can...Ch. 19 - Describe two processes that could melt the...Ch. 19 - What is the evidence that Jupiter and Saturn are...Ch. 19 - Describe two processes that cleared the solar...Ch. 19 - What is the difference between a planetesimal and...Ch. 19 - Does Uranus have enough mass to have formed by...Ch. 19 - What properties of the gas and dust disks observed...Ch. 19 - Why would the astronomically short lifetime of gas...Ch. 19 - Prob. 46RQCh. 19 - Prob. 47RQCh. 19 - Describe three methods to find extrasolar planets.Ch. 19 - Why is the existence of hot Jupiters puzzling?...Ch. 19 - Prob. 50RQCh. 19 - The evidence is overwhelming that the Grand Canyon...Ch. 19 - Prob. 52RQCh. 19 - Prob. 1DQCh. 19 - Prob. 2DQCh. 19 - Prob. 3DQCh. 19 - Prob. 4DQCh. 19 - Prob. 5DQCh. 19 - Prob. 6DQCh. 19 - If you observed the Solar System from the vantage...Ch. 19 - Venus can be as bright as apparent magnitude 4.7...Ch. 19 - What is the smallest-diameter crater you can...Ch. 19 - Prob. 4PCh. 19 - Prob. 5PCh. 19 - You analyze a sample of a meteorite that landed on...Ch. 19 - You analyze a sample of a meteorite that landed on...Ch. 19 - Prob. 8PCh. 19 - Examine Table 18-2. What might a planets...Ch. 19 - Examine Table 18-2. What might a planets...Ch. 19 - Suppose that Earth grew to its present size in 10...Ch. 19 - Prob. 12PCh. 19 - Prob. 13PCh. 19 - What do you see in this image that indicates this...Ch. 19 - Why do astronomers conclude that the surface of...Ch. 19 - Prob. 3LTLCh. 19 - Prob. 4LTL
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- Meihui 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_forwardTorgeir is on a geology field trip and finds a meteorite that contains 6 times more argon-40 than potassium-40. The half-life of potassium-40 is 1.25 x 10° years. Assume the only decay product is argon-40. How old is the rock in billions of years (10° years)?arrow_forwardA radioisotope has a half-life of τ at a temperature of 150 K. If its temperature is increased to 300 K, what will its half-life be? A) 4τ B) 2 τ C) τ D) τ/2 E) τ/4arrow_forward
- The half life of a radioactive nucleus is 50 days. The time interval (tz – t1) between the time t, when of it 1 has decayed and the time t; when - of it had decayed is - (1) 50 days (2) 60 days (3) 15 days (4) 30 daysarrow_forwardRock B was found to contain 6 atoms of a parent isotope and 94 atoms of its daughter isotope. If the half-life of the parent- daughter isotope pair is 2 million years, what is the absolute age of Rock B? Parent atoms remaining 100 94 atoms 87 atoms 80 75 atoms 60 50 atoms 40 25 atoms 13 atoms 6 atoms 1 2 3 4 Number of half-lives (Elapsed time) 2 million years old 4 million years old 6 million years old 8 million years old 94 million years old LO 20 Number of atoms (percent)arrow_forwardThe radioactive potassium-40 isotope decays to argon-40. A 2.97 x 10^9 year old sample of moon rock was found to contain 18% potassium-40 and 82% argon-40 by mass. Calculate the half-life of potassium-40 isotope.arrow_forward
- Assume you found a radioactive isotope that has a 1 million year half-life in an "old" bone. If you were to measure a 20% "parent" to 80% "daughter" ratio, how old is the bone? How would a bone twice as big change the count rate and the half-life?arrow_forwardA radioactive nucleus has a half-life of 5108 years. Assuming that a sample of rock (say, in an asteroid) solidified right after the solar system formed, approximately what fraction of the radioactive element should be left in the rock today?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
- Xavier is at NASA analyzing Moon rocks. In one of the rocks from the lunar Maria, he discovered 80% 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 x 109 years. Assume the only decay product is lead. How old is the lunar Maria rock in billions of years (109 years) ?arrow_forwardThe Tunguska asteroid is estimated to have had a diameter of 50 m, and to have produced an explosion equivalent to 10 megatons of TNT (1 megaton = 4.2 x 1015 joules). Assume that the asteroid was a sphere with density 2 g/cm3. Using the kinetic energy formula K = ½ mv2, where m is the mass and v is the speed, to estimate the speed of the asteroid. Assume that all kinetic energy is converted into the energy of the explosion. Give your answer in km/s with one significant figure.arrow_forwardUranium-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_forward
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