An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 24, Problem 13FIB
To determine
To fill in the blank: The ratio of the amounts of the radioactive parent to the stable daughter for a younger rock.
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SOME ISOTOPES USED FOR RADIOMETRIC DATING
Daughter
Isotope (D)
Half-Lives (T½)
Useful Dating Range
Parent
Isotope (P)
Materials Dated
Newly formed
crystal
Uranium-238
4.5 billion years Zircon
713 million years Zircon
Lead-206
ages > 10 m.y.
100
Uranium-235
Lead-207
ages > 10 m.y.
0000000o
o00000
15.9%
decayed to
daughter
Potassium-40 Argon-40
Biotite, muscovite,
whole volcanic rock
1.3 billion years
ages > 50,000 yr
Shells, limestone,
organic materials
ages 100-60,000 yr
Carbon-14
Nitrogen-14
5730 years
84.1
29.3%
decayed
70.7
Parent
Atoms (P)
000000000e
50%
decayed
RADIOACTIVE
DECAY
50.0
Daughter
Atoms (D)
25.0
75% decayed
87.5%
decayed
12.5
93.8%
decayed
96.9%
decayed
6.2
3.1
14
2
3
4
5
6
Half-Lives (T1) Elapsed
DECAY PARAMETERS FOR ALL RADIOACTIVE DECAY PAIRS
Percent of
Parent
Atoms (P)
Percent of
Daughter
Atoms (D)
Half-Lives
Elapsed
Age
0.000 x T
0.015 x T
0.031 x Ty
0.062 x Ty
0.125 x T
0.250 x T
0.500 x T2
1.000 x Ty2
100.0
0.0
98.9
1.1
1/64
97.9
2.1
1/32
95.8
4.2
1/16
91.7
8.3…
What is carbon-14 dating?
You are dating rocks by their proportions of parent isotope potassium-40(half life 1.25 billion years) and daughter isotope argon-40.
Find the age for a rock that contains 3 times as much Argon-40 as potassium 40.
Needs Complete solution with 100 % accuracy.
Chapter 24 Solutions
An Introduction to Physical Science
Ch. 24.1 - Are dinosaur footprints fossils?Ch. 24.1 - Prob. 2PQCh. 24.2 - Prob. 1PQCh. 24.2 - Prob. 2PQCh. 24.2 - Prob. 24.1CECh. 24.2 - Prob. 24.2CECh. 24.3 - Prob. 1PQCh. 24.3 - Prob. 2PQCh. 24.3 - Prob. 24.3CECh. 24.4 - Prob. 1PQ
Ch. 24.4 - Prob. 2PQCh. 24.5 - Prob. 1PQCh. 24.5 - Prob. 2PQCh. 24.5 - Prob. 24.4CECh. 24 - KEY TERMS 1. geologic time (Intro) 2. fossil...Ch. 24 - KEY TERMS 1. geologic time (Intro) 2. fossil...Ch. 24 - Prob. CMCh. 24 - Prob. DMCh. 24 - Prob. EMCh. 24 - Prob. FMCh. 24 - Prob. GMCh. 24 - Prob. HMCh. 24 - Prob. IMCh. 24 - Prob. JMCh. 24 - Prob. KMCh. 24 - Prob. LMCh. 24 - Prob. MMCh. 24 - Prob. NMCh. 24 - Prob. OMCh. 24 - Prob. PMCh. 24 - Prob. QMCh. 24 - Prob. RMCh. 24 - Prob. SMCh. 24 - Prob. TMCh. 24 - Prob. UMCh. 24 - Prob. VMCh. 24 - Prob. WMCh. 24 - Prob. XMCh. 24 - Prob. ZMCh. 24 - Prob. 1MCCh. 24 - Prob. 2MCCh. 24 - Prob. 3MCCh. 24 - What is the name for the type of fossil formed...Ch. 24 - Prob. 5MCCh. 24 - What is obtained when rocks and geologic events...Ch. 24 - Prob. 7MCCh. 24 - Prob. 8MCCh. 24 - Prob. 9MCCh. 24 - Prob. 10MCCh. 24 - If the half-life of a radioactive specimen is 100...Ch. 24 - Prob. 12MCCh. 24 - Prob. 13MCCh. 24 - Prob. 14MCCh. 24 - Prob. 15MCCh. 24 - Prob. 16MCCh. 24 - Prob. 17MCCh. 24 - Prob. 18MCCh. 24 - Prob. 19MCCh. 24 - Prob. 20MCCh. 24 - Prob. 1FIBCh. 24 - Prob. 2FIBCh. 24 - Prob. 3FIBCh. 24 - Prob. 4FIBCh. 24 - Prob. 5FIBCh. 24 - Prob. 6FIBCh. 24 - Prob. 7FIBCh. 24 - Prob. 8FIBCh. 24 - Prob. 9FIBCh. 24 - Prob. 10FIBCh. 24 - Prob. 11FIBCh. 24 - Prob. 12FIBCh. 24 - Prob. 13FIBCh. 24 - Prob. 14FIBCh. 24 - Prob. 15FIBCh. 24 - Prob. 16FIBCh. 24 - Prob. 17FIBCh. 24 - Prob. 18FIBCh. 24 - Prob. 19FIBCh. 24 - Prob. 20FIBCh. 24 - What is meant by the phrase geologic time?Ch. 24 - Why are so few fossils of worms found?Ch. 24 - Prob. 3SACh. 24 - Prob. 4SACh. 24 - Prob. 5SACh. 24 - Prob. 6SACh. 24 - Prob. 7SACh. 24 - Prob. 8SACh. 24 - How do fossils aid in oil exploration?Ch. 24 - Prob. 10SACh. 24 - How might the principle of superposition be...Ch. 24 - Prob. 12SACh. 24 - Prob. 13SACh. 24 - Prob. 14SACh. 24 - Prob. 15SACh. 24 - Prob. 16SACh. 24 - What four features characterize the best index...Ch. 24 - Prob. 18SACh. 24 - Prob. 19SACh. 24 - Prob. 20SACh. 24 - Prob. 21SACh. 24 - Prob. 22SACh. 24 - Prob. 23SACh. 24 - Prob. 24SACh. 24 - Prob. 25SACh. 24 - Prob. 26SACh. 24 - Carbon-14 dating measures the ratio of carbon-14...Ch. 24 - What are the three conditions for using an isotope...Ch. 24 - Distinguish between primordial lead and radiogenic...Ch. 24 - Prob. 30SACh. 24 - Prob. 31SACh. 24 - Prob. 32SACh. 24 - Prob. 33SACh. 24 - Prob. 34SACh. 24 - Prob. 35SACh. 24 - Prob. 36SACh. 24 - Prob. 37SACh. 24 - Prob. 38SACh. 24 - What biologic event is used by geologists to...Ch. 24 - What is the biological event that started the...Ch. 24 - Prob. 41SACh. 24 - Prob. 42SACh. 24 - Prob. 43SACh. 24 - In what period and era were the great coal-forming...Ch. 24 - About how many days on the geologic time calendar...Ch. 24 - Prob. 1VCCh. 24 - What are the strengths and weaknesses of the...Ch. 24 - Prob. 2AYKCh. 24 - Prob. 3AYKCh. 24 - Prob. 4AYKCh. 24 - Prob. 5AYKCh. 24 - Prob. 1ECh. 24 - Prob. 2ECh. 24 - Figure 24.21 Relative Dating See Exercises 3 and...Ch. 24 - Figure 24.21 Relative Dating See Exercises 3 and...Ch. 24 - Metamorphic rock shows that only 25% of its...Ch. 24 - Prob. 6ECh. 24 - Prob. 7ECh. 24 - Suppose that one species of index fossil lived...
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- Give some applications of Radioactive dating?arrow_forwardif the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives?arrow_forward(20)The half-life of Carbon-14 is 5700 years. If a 16 gram sample is found in a rock layer known to be 42,000 years old, how much Carbon-14 did it start with? Group of answer choices 1400 g 3700 g 3100 g 5300 g 2600 garrow_forward
- If the half-life of a radioactive specimen is 100 years, then how long will it take for the specimen to reach 25% of its original amount? (24.3) (a) 25 years (b) 50 years (c) 100 years (d) 200 yearsarrow_forwardA fossilized leaf contains 70% Of its normal amount of carbon- 14. How old is the fossil? Use 5730 yesrs as the half-life of carbon- 14.arrow_forwardA fossil is found that contains 6.25% as much Radium-226 as fossils being formed today. The half-life of Radium -226 is 1.60 x103 years. How old is the fossil? Hint: How many half-lives did the Radium-226 go through for 6.25% to remain? So, how many years have passed over 4 half lives?arrow_forward
- What process uses analysis of the decay of atomic particles to determine exact age? a Radioactive dating b Law of superposition c Relative dating d Geologic timearrow_forwardAn archeological artefact is dated to approximately 8100 y old by carbon dating. What is the ¹4C/¹2C ratio in this artefact com- pared to that of the ratio in present day organic materials? The half-life of ¹4C is 5.7 x 10³ y. Type your answer herearrow_forwardThe half-life of a certain element is about 5500 years. Use the radiometric dating formula to complete parts below. A piece of cloth is painted with organic dyes. By analyzing the dye in the cloth, it is found that only 65% of the certain element in the dye remains. When was the cloth painted. A well-preserved piece of wood found at an archaeological site has 12.2% of the certain element that it must have had when it was alive. Estimate when the wood was cut.arrow_forward
- A rock sample which originally contained 400 grams of radioactive isotope X now contains 25 grams of the material. The half-life of isotope X is 10,000 years. How old is the rock sample? (Give your answer without any punctuation or lables. For example: 15000).arrow_forwardThe carbon content of living trees includes a small proportion of C-14, which is a radioactive isotope. After a tree dies, the proportion of C-14 in it decreases due to radioactive decay.Suggest why the method of carbon dating is likely to be unreliable if a sample is:a) < 200 years oldb) > 60,000 years oldarrow_forwardUranium-lead (U-Pb) dating of geological samples is one of the oldest and most refined radiometric dating methods, able to determine ages of about 1 million years to over 4.5 billion years with precision in the 0.1–1% range. The U-Pb dating method relies on two separate decay chains, one of which is the actinium series from 235U to 207Pb, with a half-life of 704 million years. Geologists unearth a sample of zircon that appears to be a closed system. They find 0.714 grams of 207Pb for 1.000 grams of 235U present. Approximately how old is the sample? _______ yrsarrow_forward
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