What does an isochron represent? the ratios of all the different elements within a rock the different ages of rocks, given a single mineral the age of a rock, given the composition of minerals the rate of radioactive decay of elements

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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t =
million years
The graph represents one isochron for the most recent rock layer of each volcano.
Volcano D
0.78 -
slope = 0.0129
0.77 –
Volcano C
0.76 -
slope = 0.0086
0.75 –
Volcano B
slope = 0.0057
0.74 –
Volcano A
0.73-
slope = 0.0028
0.72 -
0.71
0.70 -
0.69
2
3
8"Rb/Sr
Assume that the sample rock is also from the most recent rock layer. From which volcano did the mystery sample originate?
Transcribed Image Text:t = million years The graph represents one isochron for the most recent rock layer of each volcano. Volcano D 0.78 - slope = 0.0129 0.77 – Volcano C 0.76 - slope = 0.0086 0.75 – Volcano B slope = 0.0057 0.74 – Volcano A 0.73- slope = 0.0028 0.72 - 0.71 0.70 - 0.69 2 3 8"Rb/Sr Assume that the sample rock is also from the most recent rock layer. From which volcano did the mystery sample originate?
What does an isochron represent?
the ratios of all the different elements within a rock
the different ages of rocks, given a single mineral
the age of a rock, given the composition of minerals
the rate of radioactive decay of elements
Suppose a team of scientists is studying the formation of an island chain generated by four extinct volcanoes. To determine when
each volcano became extinct, the scientists calculated the age of the youngest layer of igneous rocks on each island. After a
recent research trip, the identifying tag of a sample rock was lost. The scientists ask you to help identify the sample rock's
parent volcano.
The scientists give you some information.
1) The initial ratio of strontium-87 to strontium-86 in the rock was 0.7129.
2) The decay constant, à, for rubidium-87 is 1.42 x 10-1".
3) The current isotope concentrations in the rock are 8" sr = 126 ppm, 8'Rb = 218 ppm, and 86Sr = 175 ppm.
Use the isochron equation to calculate the approximate age of the mystery rock.
87
87
87
Sr.
Rb
'[edt – 1]
°Sr,
86
86
Sro
86
Sr,
Where possible, retain at least four significant figures throughout your calculations, and round your final answer to the nearest
100 million years.
Transcribed Image Text:What does an isochron represent? the ratios of all the different elements within a rock the different ages of rocks, given a single mineral the age of a rock, given the composition of minerals the rate of radioactive decay of elements Suppose a team of scientists is studying the formation of an island chain generated by four extinct volcanoes. To determine when each volcano became extinct, the scientists calculated the age of the youngest layer of igneous rocks on each island. After a recent research trip, the identifying tag of a sample rock was lost. The scientists ask you to help identify the sample rock's parent volcano. The scientists give you some information. 1) The initial ratio of strontium-87 to strontium-86 in the rock was 0.7129. 2) The decay constant, à, for rubidium-87 is 1.42 x 10-1". 3) The current isotope concentrations in the rock are 8" sr = 126 ppm, 8'Rb = 218 ppm, and 86Sr = 175 ppm. Use the isochron equation to calculate the approximate age of the mystery rock. 87 87 87 Sr. Rb '[edt – 1] °Sr, 86 86 Sro 86 Sr, Where possible, retain at least four significant figures throughout your calculations, and round your final answer to the nearest 100 million years.
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