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2. Actinium-225 decays by successive emission of three a particles. a. Write the nuclear equations for the three decay processes. b. Compare the neutron-to-proton ratio of the final daughter product with that of actinium- 225. Which is closer to the valley of stability?

2. Actinium-225 decays by successive emission of three a particles. a. Write the nuclear equations for the three decay processes. b. Compare the neutron-to-proton ratio of the final daughter product with that of actinium- 225. Which is closer to the valley of stability?

Chemistry for Engineering Students
Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter14: Nuclear Chemistry
Section: Chapter Questions
Problem 14.36PAE
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CHEM 1032, General Chemistry Recitation Packets Series, 2020 1. Technetium-99 is produced by a sequence of reactions in which molybdenum-98 is bombarded with neutrons to form molybdenum-99, which undergoes B decay to technetium-99m. Write the balanced nuclear equations for this sequence. a. b. Compare the neutron-to-proton ratio of the final daughter product with that of molybdenum-99. Which is closer to the valley of stability? 2. Actinium-225 decays by successive emission of three a particles. Write the nuclear equations for the three decay processes. b. Compare the neutron-to-proton ratio of the final daughter product with that of actinium- 225. Which is closer to the valley of stability? a, Activity 3. Kinetics of radioactive decays. 3. Approximately how old is a fossil with 12 g of 14C if it initially possessed 32 g of 1"C? 4. Approximately what percentage of an initial sample of "C remains after 33,450 years? 5. A laboratory investigation shows that a sample of uranium ore contains 5.37 mg of 235U and 2.52 mg of 20 Pb. Calculate the age of the ore. The half-life of 235U is 4.5 x 10°yr. 6. Uranium-238 decays through a series of a and B emissions to lead-206, with an overall half-life for the entire process of 4.5 Ga. Calculate the age of a uranium-bearing ore that is found to have a 238U/206P6 ratio of a. 1.00 b. 1.25 7. (a) Use a standard graphing program to plot the fraction of C remaining in an archaeological sample 40.0 ky (kiloyears) old as a function of time. For convenience, use intervals of 1000 y. (b) Plot the natural logarithm of the fraction of l C remaining against time. (c) After what period of time will less than 1.00% of the original 1C in the sample remain?
Transcribed Image Text:CHEM 1032, General Chemistry Recitation Packets Series, 2020 1. Technetium-99 is produced by a sequence of reactions in which molybdenum-98 is bombarded with neutrons to form molybdenum-99, which undergoes B decay to technetium-99m. Write the balanced nuclear equations for this sequence. a. b. Compare the neutron-to-proton ratio of the final daughter product with that of molybdenum-99. Which is closer to the valley of stability? 2. Actinium-225 decays by successive emission of three a particles. Write the nuclear equations for the three decay processes. b. Compare the neutron-to-proton ratio of the final daughter product with that of actinium- 225. Which is closer to the valley of stability? a, Activity 3. Kinetics of radioactive decays. 3. Approximately how old is a fossil with 12 g of 14C if it initially possessed 32 g of 1"C? 4. Approximately what percentage of an initial sample of "C remains after 33,450 years? 5. A laboratory investigation shows that a sample of uranium ore contains 5.37 mg of 235U and 2.52 mg of 20 Pb. Calculate the age of the ore. The half-life of 235U is 4.5 x 10°yr. 6. Uranium-238 decays through a series of a and B emissions to lead-206, with an overall half-life for the entire process of 4.5 Ga. Calculate the age of a uranium-bearing ore that is found to have a 238U/206P6 ratio of a. 1.00 b. 1.25 7. (a) Use a standard graphing program to plot the fraction of C remaining in an archaeological sample 40.0 ky (kiloyears) old as a function of time. For convenience, use intervals of 1000 y. (b) Plot the natural logarithm of the fraction of l C remaining against time. (c) After what period of time will less than 1.00% of the original 1C in the sample remain?
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