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6 (a) Given the following isotope evolution diagram, what do points A, B, C, D, and E on the figure represent? PN/PNCL D Residual Mantle CHUR Igneous rock 1 2 3 Age (billion years) 4 (b) Calculate the 143Nd/144Nd ratio of CHUR (chondritic uniform reservoir) at 2.5 Ga given that the present 143 Nd/¹44Nd for CHUR=0.512638 and that 147 Sm/¹44Nd-0.1967. The 147, 'Sm half-life is 106 Ga. (c) Given a sample with an initial ¹4³Nd/¹44Nd = 0.51150 at t = 1.8 Ga. What is it's End relative to CHUR at that time? (d) Calculate a model age relative to CHUR for a rock given the following data: Sm= 0.580 ppm, Nd = 1.539 ppm, ¹43Nd/¹44Nd = 0.513101. The isotopic abundances for Sm and 144Nd are 15% and 23.9%, respectively. The atomic weights for Sm and Nd are 150.36 and 144.24, respectively. (Hint: you are looking for a intersection of two lines such as the one in Problem 6 (a)). 147 (e) Plot the evolution lines for CHUR and the rock in part (d) in ENd VS. age (time) space.

6 (a) Given the following isotope evolution diagram, what do points A, B, C, D, and E on the figure represent? PN/PNCL D Residual Mantle CHUR Igneous rock 1 2 3 Age (billion years) 4 (b) Calculate the 143Nd/144Nd ratio of CHUR (chondritic uniform reservoir) at 2.5 Ga given that the present 143 Nd/¹44Nd for CHUR=0.512638 and that 147 Sm/¹44Nd-0.1967. The 147, 'Sm half-life is 106 Ga. (c) Given a sample with an initial ¹4³Nd/¹44Nd = 0.51150 at t = 1.8 Ga. What is it's End relative to CHUR at that time? (d) Calculate a model age relative to CHUR for a rock given the following data: Sm= 0.580 ppm, Nd = 1.539 ppm, ¹43Nd/¹44Nd = 0.513101. The isotopic abundances for Sm and 144Nd are 15% and 23.9%, respectively. The atomic weights for Sm and Nd are 150.36 and 144.24, respectively. (Hint: you are looking for a intersection of two lines such as the one in Problem 6 (a)). 147 (e) Plot the evolution lines for CHUR and the rock in part (d) in ENd VS. age (time) space.

Applications and Investigations in Earth Science (9th Edition)
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
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6 (a) Given the following isotope evolution diagram, what do points A, B, C, D, and E on the figure represent? PN/PNC D с Residual Mantle CHUR Igneous rock B I 2 Age (billion years) L 3 5 (b) Calculate the 143Nd/¹44Nd ratio of CHUR (chondritic uniform reservoir) at 2.5 Ga given that the present 143Nd/144Nd for CHUR=0.512638 and that 47 Sm/144Nd-0.1967. The 147 Sm half-life is 106 Ga. 147, (c) Given a sample with an initial 143Nd/¹44 Nd = 0.51150 at t = 1.8 Ga. What is it's End relative to CHUR at that time? 143, (d) Calculate a model age relative to CHUR for a rock given the following data: Sm= 0.580 ppm, Nd = 1.539 ppm, ¹43Nd/¹44Nd = 0.513101. The isotopic abundances for Sm and ¹44Nd are 15% and 23.9%, respectively. The atomic weights for Sm and 147 Nd are 150.36 and 144.24, respectively. (Hint: you are looking for a intersection of two lines such as the one in Problem 6 (a)). (e) Plot the evolution lines for CHUR and the rock in part (d) in ENd VS. age (time) space.
Transcribed Image Text:6 (a) Given the following isotope evolution diagram, what do points A, B, C, D, and E on the figure represent? PN/PNC D с Residual Mantle CHUR Igneous rock B I 2 Age (billion years) L 3 5 (b) Calculate the 143Nd/¹44Nd ratio of CHUR (chondritic uniform reservoir) at 2.5 Ga given that the present 143Nd/144Nd for CHUR=0.512638 and that 47 Sm/144Nd-0.1967. The 147 Sm half-life is 106 Ga. 147, (c) Given a sample with an initial 143Nd/¹44 Nd = 0.51150 at t = 1.8 Ga. What is it's End relative to CHUR at that time? 143, (d) Calculate a model age relative to CHUR for a rock given the following data: Sm= 0.580 ppm, Nd = 1.539 ppm, ¹43Nd/¹44Nd = 0.513101. The isotopic abundances for Sm and ¹44Nd are 15% and 23.9%, respectively. The atomic weights for Sm and 147 Nd are 150.36 and 144.24, respectively. (Hint: you are looking for a intersection of two lines such as the one in Problem 6 (a)). (e) Plot the evolution lines for CHUR and the rock in part (d) in ENd VS. age (time) space.
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