If a rock contains 75% lead 206 (Pb206) and 25% uranium 238 (U238), how old is the rock? Explain how you determined the answer. Is it possible to have a rock of that age on Earth, and what is the reason for your answer?

Chemistry: An Atoms First Approach
2nd Edition
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Steven S. Zumdahl, Susan A. Zumdahl
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 13Q: Explain the fundamental steps of the scientific method. The scientific method is a dynamic process....
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Using the page from the Chart of the Nuclides, select a nuclide that is radioactive and decays (changes) to another nuclide by emitting an alpha particle.  Is the new element radioactive and if it is, how do you know that?  If the new nuclide is radioactive, what does it decay to?
       Do the same thing with a nuclide that emits a beta particle.
       If a rock contains 75% lead 206 (Pb206) and 25% uranium 238 (U238), how old is the rock?  Explain how you determined the answer.
       Is it possible to have a rock of that age on Earth, and what is the reason for your answer?
Pa222
Pa223
Pa224
Pa225
Pa226
-3 ms
5.1 mis
a 8.01, 8.18
0,85 s
a 7.49, 7.41,-
y 194.5, 40.7,
153.0,:
1.8 s
a 7.25, 7.20
1.8 m
a 6.86, 6.82,.
a 8.54, 8:33,**
222.0237
E 2.83
226.02793
223.0240
Th222
2.2 ms
a 7.980
224.0256
225.0261
Th223(5/+)
Th225(3/+
8.72 m
a 6.479, 6.441,
6.501,-
y 322, 246, 359,..
Th224
Th221
1.7 ms
a 8.146, 8.471,
0.65 s
a 7.29, 7.32
y 140.0 w,
1.05 s
a 7.17, 7.00,-..
y 176,
É 0.67
225.02394
222.01845
Ac221
221.01817
223.02080
224.02146
Ac222 1
Ac223(5/-) Ac224 0
Ac220
26.4 ms
« 7.85, 7.61,
7.68,
y 133.0, 342.7,
160.0,
2.7 h
63 s
a 6,81,
6.75,
6.89,
7.00,-
IT ?
2.1 m
a 6.646, 6.661,
y 191.3 w, 73, 99,
84,..
52 ms
a 7.64, 7.44,
5's
a 7.010,
y 215.8, 131,5,...
a 6.1383, 6.056,...
y 25 -376 w
6.97
220.0148
221.0156
222.01783
223.01913
E 1.403
Ra223 37+
AcX 11.435 d
a 5.7164, 5.607,
y 269.4, 154.2,
323.9,
Ra219 7/+
Ra221
Ra222
Ra220
18 ms
a 7.45,T
465
29 s
38 s
0.010 s
a 7.678, 7.988,---
y 315.82,...
a 6.608,
a 6.556,..
6.758, 6.669, y 324.2,
y 90., 152,.
ôy 13E1, ô 0.7
223.018497 O
219.01007
220.01101
221.01391 O
222.01536
Fr219 9/-
21 ms
a 7.867, a 7.314,-
(8-)Fr218 (1
Fr220
Fr2215/(-
Fr222 2
14.3 m
B- 1.72, 1.92,-
y 206.2, 111.1,
27.4 s
a 6.677, 6.633,
6.573,
y 44.60, 105.88,
160.73,
B- w
220.012313
22 ms
a 7.62,
7.68,
7.66,*
IT ?
y 145, 111,-
4.8 m
a 6.341, 6.127,
y 218.2,--
1 ms
...
y 169.9 -517.0 w
y 187,
117,
304,.
218.00756
219,00924
221.01425
E203
Rn217 9/ +
0.6 ms
a 7.741,
Rn219 5/+
An
a 6.8193, 6.553,
6.425,-
y 271.23, 401.81,-
Rn220
Tn
a 6.2882,..
y 549.7
Rn218
Rn221
55.6 s
25 m
35 ms
a 7.133,--
y 609.3 w
3,96 s
B-.83,
y 186.4,-..
a 6.037,
y 254, 265
E 1,1
221.0155
< 0.2
217.00391
218 005586
219.009475
220.011384
Transcribed Image Text:Pa222 Pa223 Pa224 Pa225 Pa226 -3 ms 5.1 mis a 8.01, 8.18 0,85 s a 7.49, 7.41,- y 194.5, 40.7, 153.0,: 1.8 s a 7.25, 7.20 1.8 m a 6.86, 6.82,. a 8.54, 8:33,** 222.0237 E 2.83 226.02793 223.0240 Th222 2.2 ms a 7.980 224.0256 225.0261 Th223(5/+) Th225(3/+ 8.72 m a 6.479, 6.441, 6.501,- y 322, 246, 359,.. Th224 Th221 1.7 ms a 8.146, 8.471, 0.65 s a 7.29, 7.32 y 140.0 w, 1.05 s a 7.17, 7.00,-.. y 176, É 0.67 225.02394 222.01845 Ac221 221.01817 223.02080 224.02146 Ac222 1 Ac223(5/-) Ac224 0 Ac220 26.4 ms « 7.85, 7.61, 7.68, y 133.0, 342.7, 160.0, 2.7 h 63 s a 6,81, 6.75, 6.89, 7.00,- IT ? 2.1 m a 6.646, 6.661, y 191.3 w, 73, 99, 84,.. 52 ms a 7.64, 7.44, 5's a 7.010, y 215.8, 131,5,... a 6.1383, 6.056,... y 25 -376 w 6.97 220.0148 221.0156 222.01783 223.01913 E 1.403 Ra223 37+ AcX 11.435 d a 5.7164, 5.607, y 269.4, 154.2, 323.9, Ra219 7/+ Ra221 Ra222 Ra220 18 ms a 7.45,T 465 29 s 38 s 0.010 s a 7.678, 7.988,--- y 315.82,... a 6.608, a 6.556,.. 6.758, 6.669, y 324.2, y 90., 152,. ôy 13E1, ô 0.7 223.018497 O 219.01007 220.01101 221.01391 O 222.01536 Fr219 9/- 21 ms a 7.867, a 7.314,- (8-)Fr218 (1 Fr220 Fr2215/(- Fr222 2 14.3 m B- 1.72, 1.92,- y 206.2, 111.1, 27.4 s a 6.677, 6.633, 6.573, y 44.60, 105.88, 160.73, B- w 220.012313 22 ms a 7.62, 7.68, 7.66,* IT ? y 145, 111,- 4.8 m a 6.341, 6.127, y 218.2,-- 1 ms ... y 169.9 -517.0 w y 187, 117, 304,. 218.00756 219,00924 221.01425 E203 Rn217 9/ + 0.6 ms a 7.741, Rn219 5/+ An a 6.8193, 6.553, 6.425,- y 271.23, 401.81,- Rn220 Tn a 6.2882,.. y 549.7 Rn218 Rn221 55.6 s 25 m 35 ms a 7.133,-- y 609.3 w 3,96 s B-.83, y 186.4,-.. a 6.037, y 254, 265 E 1,1 221.0155 < 0.2 217.00391 218 005586 219.009475 220.011384
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