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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Chapter1: Units, Trigonometry. And Vectors
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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, 1, 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 8ºSr = 175 ppm.
%3D
Use the isochron equation to calculate the approximate age of the mystery rock.
87.
Sto +
87
Sr
[edr – 1]
86
Sr,
86
86
Where possible, retain at least four significant figures throughout your calculations, and round your final answer to the nearest
100 million years.
million years
t =
Transcribed Image Text: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, 1, 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 8ºSr = 175 ppm. %3D Use the isochron equation to calculate the approximate age of the mystery rock. 87. Sto + 87 Sr [edr – 1] 86 Sr, 86 86 Where possible, retain at least four significant figures throughout your calculations, and round your final answer to the nearest 100 million years. million years t =
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
"Rb/®®Sr_
Assume that the sample rock is also from the most recent rock layer. From which volcano did the mystery sample originate?
Volcano D
Volcano B
Volcano C
Volcano A
Transcribed Image Text: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 "Rb/®®Sr_ Assume that the sample rock is also from the most recent rock layer. From which volcano did the mystery sample originate? Volcano D Volcano B Volcano C Volcano A
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