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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I need to know the number of years! There is only one part to this question. The pictures show the "Figure" and "Bar charts" tabs and the "Graph" tab says this:
A curve showing the percentage of radioactive atoms remaining in a mineral sample is graphed on a coordinate plane.
The horizontal axis, labeled "Age in half-lives," ranges from 0 to 6.
The vertical axis, labeled "Percentage remaining," ranges from 0 to 100.
The curve enters the viewing field with a negative slope at (0, 100). The magnitude of the negative slope is progressively reduced such that it is nearly horizontal as it exits the viewing field at (6, 0.02).
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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?
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?
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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- An isotope of a radioactive element has half-life equal to 5 thousand years. Imagine a sample that is so old that most of its radioactive atoms have decayed, leaving just 20 percent of the initial quantity of the isotope remaining. How old is the sample? Give your answer in thousands of years, correct to one decimal place. Age : ___ thousand years.arrow_forwardA fossil contains 4.06 grams of carbon 14. Refer to the formulaA(t) = C 0.999879t which gives the original amount of carbon 14 t years ago in terms of the amount C that is left now, and estimate the amount of carbon 14 in the sample 10,000 years, 20,000 years, and 30,000 years ago. (Round your answers to one decimal place.arrow_forwardAn isotope of a radioactive element has half-life equal to 9 thousand years. Imagine a sample that is so old that most of its radioactive atoms have decayed, leaving just 25 percent of the initial quantity of the isotope remaining. How old is the sample? Give your answer in thousands of years, correct to one decimal place.arrow_forward
- A 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_forwardThe isotope carbon-14, 14/6C, is radioactive and has a half-life of 5 730 years. If you start with a sample of 1 000 carbon-14 nuclei, how many nuclei will still be undecayed in 25 000 years?arrow_forwardThe half-life of Carbon-13 is 5750 years. Samples taken at an excavation site show that a one-kilogram sample has 65% Carbon-13 as compared to a normal sample. What is the age of the sample?arrow_forward
- Charan is at NASA analyzing Moon rocks. In one of the rocks from the lunar highlands, he discovered 37 % 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_forwardEarth's surface area is 5.10x10^8 km^2 .Earth's crust has a thickness (or depth) of 35 km and density 2.8 g/cm^3 for earth's crust. a) Calculate the volume of earth's crust in km^3 b) Express your answer from part (a) in cm^3 c) Calculate the mass of the crust tons (t) : 1 ton=1000kg d) Silicon's concentration in earth's crust is 2.72x105grams/ton. Calculate the mass of silicon (in grams) present in earth's crust.arrow_forwardDefine the activity of a radionuclide. Write its S.I. unit. Give a plot of the activity of a radioactive species versus time. How long will a radioactive isotope, whose half life is T years, take for its activity to reduce to 1/8th of its initial value?arrow_forward
- If carbon-14 has a half life of 5,730 years and a sample contains 50 moles originally, how much is left after 17,190 years? Which of the following is true? If Metal A has twice the thermal conductivity of Metal B. (Metal B will melt), (Metal B would be a better), (Metal A will transfer thermal energy across), (Metal A will melt).arrow_forwardCarbon-14 has a half-life of 5730 years. What mass of carbon-14 would have a decay rate of 20,000 Bq? Considering that carbon-14 decays via beta-minus radiation, ALSO write the complete nuclear decay equation.arrow_forward34.How old is this Martian Rock that is found to be containing 12.5% of a radioactive parent nucleus? The half-life of this isotope is 1 billion years old. a. 5 billion years b. 12 billion years c. 3 billion years d. 10 billion yearsarrow_forward
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