Reading Radiometric Dating Exercise Complete the following chart by calculating the amount of parent isotope remaining for all of the given half-lives, then plot your findings on the graph (Figure 1.13). You may recreate the graph by hand, using Excel or another plotting program, or you can print out the copy attached here. Make sure you connect the data points on the graph by drawing in the decay curve. Use the completed chart and graph to answer the questions in the next section. Amount of Number of Parent Half-lives Isotope Remaing 100 100% 90 50% 80 70 60 50 3 40 30 20 5 10 0 1 2 3 4 5 6. 7 8 9 10 mount (%) of Parent Isotope Remaining

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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Complete the following chart by calculating the amount of parent isotope remaining for all of the given half-lives, then plot your findings on the graph (Figure 1.13). You may recreate the graph by hand, using Excel or another plotting program, or you can print out the copy attached here. Make sure you connect the data points on the graph by drawing in the decay curve.

There are several different radiometric isotopes that are commonly used in absolute dating. Each of these systems have different uses within geology in that they require different materials and can date objects within specific time frames.

Carbon-14 dating is of limited use within geology, but is still the system that is familiar to most people. Carbon-14 (parent isotope) is found in organic material including bone, tissue, plants, and fiber. This isotope is found naturally in small amounts in the atmosphere within CO2 and is incorporated into plants during photosynthesis and then filters throughout the food chain. You currently have Carbon-14 in your body that is decaying to Nitrogen-14 (daughter isotope), but you replace it whenever you eat. When an animal stops eating or a plant stops photosyn- thesizing, the radioactive carbon starts to decay without being replaced, which can be easily measured. Carbon-14 has a very short half-life of 5,730 years and can only be used to date materials up to approximately 70,000 years. Given the age of the Earth is 4.54 billion years, carbon-14 can only be used to date very recent materials.

Uranium dating involves a complex system of multiple isotopes that decay through a chain reaction until it reaches non-radiogenic lead. Surprising to most students, uranium can be found in many places, but it is normally in very miniscule amounts. Another issue with this system is that the daughter isotope, lead, is also found naturally in many different places, which makes it difficult to differentiate between lead formed from radiometric decay and lead found naturally in the environment. The mineral zircon solves both of these issues, by concentrating uranium and excluding lead from its mineral structure. Therefore, we use Uranium dating on zircons found within igneous rocks (such as volcanic ash or rocks formed deep in the earth). Uranium has a very long half-life of 4.5 billion years, which is more than long enough to date most rocks on Earth. It takes about one million years for the complex system to normalize such that Uranium dates of less than that are unreliable.

Potassium-Argon dating is also a useful method of dating rocks. Potassium decays into two separate daughter isotopes, Argon and Calcium. We measure the amount of Argon in the rocks because unlike calcium it is rare within minerals since it is a Noble Gas and doesn’t normally bond with other elements. Therefore, any argon within a mineral is from the decay of potassium. The use of Argon also has its drawbacks, for instance a gas can easily escape from a rock and, therefore, special care needs to be taken in the lab to prevent this. This system works well when there are multiple materials to examine that contain abundant potassium, like the rock granite that is full of potassium-rich pink minerals called feldspars. The half-life of Potassium is 702 million years, so it is similar to Uranium in that it is most useful dating older rocks.

With all of these methods there is still the chance for error such that it is best to think of any particular radiometric date as a scientific hypothesis that needs to be further tested. Error can come from the addition or subtraction of either parent or daughter isotopes in the rock following its formation. This can be done in several ways, most commonly through the adding of heat and pressure (metamorphism). There are ways to correct for these issues that allows the scientist to date both the rock and the metamorphic event as long as the geologic history is known.

Bb Absolute Time and Radiometric X
Bb Half-life graph(1).png (1484x96 x
4 lab8_dating.mov - Google Drive x
b My Questions | bartleby
+
A bbhosted.cuny.edu/webapps/blackboard/execute/displayLearningUnit?course_id=_1942946_1&content_id=_54782164_1
M (no subject) - me.sa.
chrome://newtab
E Reading list
Radiometric Dating Exercise
CCNY Resources &
Complete the following chart by calculating the amount of parent isotope remaining for all of the given half-lives, then plot your
findings on the graph (Figure 1.13). You may recreate the graph by hand, using Excel or another plotting program, or you can
print out the copy attached here. Make sure you connect the data points on the graph by drawing in the decay curve.
Information
CCNY Blackboard Support
CCNY Campus Resources
Use the completed chart and graph to answer the questions in the next section.
CCNY Library Resources
Amount of
Number of Parent
Half-lives Isotope
Remaing
- My Groups
> EAS 106 Section C2
100
100%
90
80
1
50%
70
60
50
40
4
30
20
5
10
1
2
3
5
7
8
9
10
O v i 8:48
Amount (%) of Parent Isotope Remaining
Transcribed Image Text:Bb Absolute Time and Radiometric X Bb Half-life graph(1).png (1484x96 x 4 lab8_dating.mov - Google Drive x b My Questions | bartleby + A bbhosted.cuny.edu/webapps/blackboard/execute/displayLearningUnit?course_id=_1942946_1&content_id=_54782164_1 M (no subject) - me.sa. chrome://newtab E Reading list Radiometric Dating Exercise CCNY Resources & Complete the following chart by calculating the amount of parent isotope remaining for all of the given half-lives, then plot your findings on the graph (Figure 1.13). You may recreate the graph by hand, using Excel or another plotting program, or you can print out the copy attached here. Make sure you connect the data points on the graph by drawing in the decay curve. Information CCNY Blackboard Support CCNY Campus Resources Use the completed chart and graph to answer the questions in the next section. CCNY Library Resources Amount of Number of Parent Half-lives Isotope Remaing - My Groups > EAS 106 Section C2 100 100% 90 80 1 50% 70 60 50 40 4 30 20 5 10 1 2 3 5 7 8 9 10 O v i 8:48 Amount (%) of Parent Isotope Remaining
Bb Dating Systems - 2021 Spring
Bb Half-life graph(1).png (1484x96 x
4 lab8_dating.mov - Google Drive
b My Questions | bartleby
+
A bbhosted.cuny.edu/webapps/blackboard/execute/displayLearningUnit?course_id=_1942946_1&content_id%=_54782178_1
M (no subject) - me.sa.
chrome://newtab
E Reading list
As you may have guessed from the previous exercise, it is rare to find a rock that contains an amount of the parent remaining
that falls exactly on one of the half-lives. In most cases we need to use a simple formula to calculate the age of a rock using the
length of the half-life and the amount of parent remaining.
The formula is:
Age =
-(-
) In(P)
0.693
T1/2 = The length of the half-life in years
P = The amount of the parent remaining in decimal form. For example, if there is 50% of the parent remaining it would equal
0.5.
Let's work an example using the equation that we already know the answer to in advance. You have a sample of bone that has
25% of the Carbon-14 (Half-life= 5730 years) remaining, how old is the sample? We can answer this question in two ways:
1. We know that if there is 25% remaining, two half-lives have passed and with each half-life being 5730 the bone would be
11,460 years old.
2. We could use the above equation and insert both the length of the half- life and the amount of the parent remaining:
5730
Age
)In(0.25)
0.693
To solve the equation, take the Natural Log (In) of o.25 and multiply by the term in the parentheses (make sure to include the
negative sign). If you do this you will get 11,460 as well.
O 8:49
Transcribed Image Text:Bb Dating Systems - 2021 Spring Bb Half-life graph(1).png (1484x96 x 4 lab8_dating.mov - Google Drive b My Questions | bartleby + A bbhosted.cuny.edu/webapps/blackboard/execute/displayLearningUnit?course_id=_1942946_1&content_id%=_54782178_1 M (no subject) - me.sa. chrome://newtab E Reading list As you may have guessed from the previous exercise, it is rare to find a rock that contains an amount of the parent remaining that falls exactly on one of the half-lives. In most cases we need to use a simple formula to calculate the age of a rock using the length of the half-life and the amount of parent remaining. The formula is: Age = -(- ) In(P) 0.693 T1/2 = The length of the half-life in years P = The amount of the parent remaining in decimal form. For example, if there is 50% of the parent remaining it would equal 0.5. Let's work an example using the equation that we already know the answer to in advance. You have a sample of bone that has 25% of the Carbon-14 (Half-life= 5730 years) remaining, how old is the sample? We can answer this question in two ways: 1. We know that if there is 25% remaining, two half-lives have passed and with each half-life being 5730 the bone would be 11,460 years old. 2. We could use the above equation and insert both the length of the half- life and the amount of the parent remaining: 5730 Age )In(0.25) 0.693 To solve the equation, take the Natural Log (In) of o.25 and multiply by the term in the parentheses (make sure to include the negative sign). If you do this you will get 11,460 as well. O 8:49
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