5 2. If the data points are randomly scattered across the graph, then there is no relationship between distance and age. If the points are arranged approximately along a line, then there is a correlation between 187 Re/188 Os and 1870s/1880s. Does your graph show a correlation between 187 Re/188 Os and 187Os/188Os? 3. The closer the points lie to a single line, the better the correlation is. Choose the best word to describe the correlation: perfect, good, moderate, poor. 4. To solve the slope equation for time, you must find an equation for the best-fit line. There are mathematical ways to draw a best-fit line for this data set, i.e., one that comes closest to passing through all of the points. Draw a best-fit line connecting the points on your plot. 5. Calculate the slope of your best-fit line. Please show your work. Slope = Y₂- Y₁ X₂- X₁ (x₁y₁) (X21Y2) 5 inchcalculator.com 6. As stated earlier, the slope (m) of this best-fit line is given by the equation: m = Calculate the age (t) of your samples, given the slope you calculated in question 5 and given the decay constant (^). Please show your work. (ext-1) Rhenium-osmium dating is a form of radiometric dating, similar to carbon-carbon dating. It is based on the beta decay of the isotope 187 Re to 187Os which has a half-life of 41.6 × 109 years. Half-life (t) refers is the time required for a radioactive isotope (187Re in this case) to reduce to half of its initial value. We use the Rhenium-osmium isochron dating method to determine the age of a suite of rock samples formed at the same time from a common source. The isochron dating method plots the ratio of radiogenic 187 Os to non-radiogenic 188Os against the ratio of the parent isotope 187 Re to the non-radiogenic isotope 1880s. With this data plotted, we use the following equation to calculate an age: where: 187 Os 187 Re ⋅ (ext — 1). - 187 Os 188 Os + = 188 Os 188 Os initial present • It is the age of the sample in years, • • ▲ is the decay constant of 187 Re in years-1 (λ = 1.6668 ×10-11 yr-1) (ext-1) is the slope of the isochron (plot of 187 Re/188Os vs 1870s/188Os) which defines the age of the system. 1. On the plot to the right, plot the following measurements for a suite of rocks that formed at the same time and from the same source. Re-Os Dating Isochron 187 Re/1880s 1870s/188Os 0.2 0.3515 0.12326 0.3751 0.12507 0.175 0.5826 0.1413 0.9357 0.16903 1870s/1880s 0.15 0.335 0.12189 0.125 0.6698 0.14839 0.1 0 0.25 0.5 0.75 1 187Re/1880s
5 2. If the data points are randomly scattered across the graph, then there is no relationship between distance and age. If the points are arranged approximately along a line, then there is a correlation between 187 Re/188 Os and 1870s/1880s. Does your graph show a correlation between 187 Re/188 Os and 187Os/188Os? 3. The closer the points lie to a single line, the better the correlation is. Choose the best word to describe the correlation: perfect, good, moderate, poor. 4. To solve the slope equation for time, you must find an equation for the best-fit line. There are mathematical ways to draw a best-fit line for this data set, i.e., one that comes closest to passing through all of the points. Draw a best-fit line connecting the points on your plot. 5. Calculate the slope of your best-fit line. Please show your work. Slope = Y₂- Y₁ X₂- X₁ (x₁y₁) (X21Y2) 5 inchcalculator.com 6. As stated earlier, the slope (m) of this best-fit line is given by the equation: m = Calculate the age (t) of your samples, given the slope you calculated in question 5 and given the decay constant (^). Please show your work. (ext-1) Rhenium-osmium dating is a form of radiometric dating, similar to carbon-carbon dating. It is based on the beta decay of the isotope 187 Re to 187Os which has a half-life of 41.6 × 109 years. Half-life (t) refers is the time required for a radioactive isotope (187Re in this case) to reduce to half of its initial value. We use the Rhenium-osmium isochron dating method to determine the age of a suite of rock samples formed at the same time from a common source. The isochron dating method plots the ratio of radiogenic 187 Os to non-radiogenic 188Os against the ratio of the parent isotope 187 Re to the non-radiogenic isotope 1880s. With this data plotted, we use the following equation to calculate an age: where: 187 Os 187 Re ⋅ (ext — 1). - 187 Os 188 Os + = 188 Os 188 Os initial present • It is the age of the sample in years, • • ▲ is the decay constant of 187 Re in years-1 (λ = 1.6668 ×10-11 yr-1) (ext-1) is the slope of the isochron (plot of 187 Re/188Os vs 1870s/188Os) which defines the age of the system. 1. On the plot to the right, plot the following measurements for a suite of rocks that formed at the same time and from the same source. Re-Os Dating Isochron 187 Re/1880s 1870s/188Os 0.2 0.3515 0.12326 0.3751 0.12507 0.175 0.5826 0.1413 0.9357 0.16903 1870s/1880s 0.15 0.335 0.12189 0.125 0.6698 0.14839 0.1 0 0.25 0.5 0.75 1 187Re/1880s
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
Problem 1LR
Related questions
Question
Transcribed Image Text:5
2. If the data points are randomly scattered across the graph, then there is no relationship
between distance and age. If the points are arranged approximately along a line, then
there is a correlation between 187 Re/188 Os and 1870s/1880s. Does your graph show a
correlation between 187 Re/188 Os and 187Os/188Os?
3. The closer the points lie to a single line, the better the correlation is. Choose the best
word to describe the correlation: perfect, good, moderate, poor.
4. To solve the slope equation for time, you must find an equation for the best-fit line. There
are mathematical ways to draw a best-fit line for this data set, i.e., one that comes
closest to passing through all of the points. Draw a best-fit line connecting the points on
your plot.
5. Calculate the slope of your best-fit line. Please show your work.
Slope =
Y₂- Y₁
X₂- X₁
(x₁y₁)
(X21Y2)
5
inchcalculator.com
6. As stated earlier, the slope (m) of this best-fit line is given by the equation: m =
Calculate the age (t) of your samples, given the slope you calculated in question 5 and
given the decay constant (^). Please show your work.
(ext-1)
Transcribed Image Text:Rhenium-osmium dating is a form of radiometric dating, similar to carbon-carbon dating. It is
based on the beta decay of the isotope 187 Re to 187Os which has a half-life of 41.6 × 109 years.
Half-life (t) refers is the time required for a radioactive isotope (187Re in this case) to reduce to
half of its initial value. We use the Rhenium-osmium isochron dating method to determine the
age of a suite of rock samples formed at the same time from a common source. The isochron
dating method plots the ratio of radiogenic 187 Os to non-radiogenic 188Os against the ratio of the
parent isotope 187 Re to the non-radiogenic isotope 1880s. With this data plotted, we use the
following equation to calculate an age:
where:
187 Os
187 Re
⋅ (ext — 1).
-
187 Os
188 Os
+
=
188 Os
188 Os initial
present
•
It is the age of the sample in years,
•
•
▲ is the decay constant of 187 Re in years-1 (λ = 1.6668 ×10-11 yr-1)
(ext-1) is the slope of the isochron (plot of 187 Re/188Os vs 1870s/188Os) which defines the
age of the system.
1. On the plot to the right, plot the following measurements for a suite of rocks that formed
at the same time and from the same source.
Re-Os Dating Isochron
187 Re/1880s
1870s/188Os
0.2
0.3515
0.12326
0.3751
0.12507
0.175
0.5826
0.1413
0.9357
0.16903
1870s/1880s
0.15
0.335
0.12189
0.125
0.6698
0.14839
0.1
0
0.25
0.5
0.75
1
187Re/1880s
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