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(c) The radioactive decay of nuclides is a first order process. Strontium-90 decays via yttrium-90 to ultimately form zirconium-90 via sequential B-decay. B-decay р-decay 90Sr 90y 90zr t12 = 28.8 y t1/2 = 64.1 h (i) Calculate the rate constants for the decay of "Sr and for the decay of 0Y, which you should label kj and k2, respectively. You will find it helpful to express these rate constants in the same units, using scientific notation where appropriate. (ii) Write down expressions for ["Sr] and d["Y]/dt and therefore show that: d[0y] + k2[°Y] = kq[®Sr],e(-k1t) dt (iii) The expression from part (ii) can be solved to give the new expression below (you do not need to show how this is achieved). Use this expression to quantify which fraction of "Sr is present as 0Y after a period of 30 days, using appropriate units (e.g. % or ppm). Show your working. [9°Y] = (e-kt – e-k2t)["Sr]o k2-k1

(c) The radioactive decay of nuclides is a first order process. Strontium-90 decays via yttrium-90 to ultimately form zirconium-90 via sequential B-decay. B-decay р-decay 90Sr 90y 90zr t12 = 28.8 y t1/2 = 64.1 h (i) Calculate the rate constants for the decay of "Sr and for the decay of 0Y, which you should label kj and k2, respectively. You will find it helpful to express these rate constants in the same units, using scientific notation where appropriate. (ii) Write down expressions for ["Sr] and d["Y]/dt and therefore show that: d[0y] + k2[°Y] = kq[®Sr],e(-k1t) dt (iii) The expression from part (ii) can be solved to give the new expression below (you do not need to show how this is achieved). Use this expression to quantify which fraction of "Sr is present as 0Y after a period of 30 days, using appropriate units (e.g. % or ppm). Show your working. [9°Y] = (e-kt – e-k2t)["Sr]o k2-k1

Chemistry by OpenStax (2015-05-04)
Chemistry by OpenStax (2015-05-04)
1st Edition
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Chapter12: Kinetics
Section: Chapter Questions
Problem 65E: The hydrolysis of the sugar sucrose to the sugars glucose and fructose, C12H22O11+H2OC6H12O6+C6H12O6...
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(c) The radioactive decay of nuclides is a first order process. Strontium-90 decays via yttrium-90 to ultimately form zirconium-90 via sequential ß-decay. B-decay B-decay 90y 90zr t12 = 28.8 y t1/2 = 64.1 h Calculate the rate constants for the decay of 9"Sr and for the decay of 90Y, which you should label kı and k2, respectively. You will find it helpful to express these rate constants in the same units, using scientific notation where appropriate. (ii) Write down expressions for ["Sr] and d[0Y]/dt and therefore show that: + k2[®Y] = k,[°Sr]oe(-k1t) dt (iii) The expression from part (ii) can be solved to give the new expression below (you do not need to show how this is achieved). Use this expression to quantify which fraction of 90Sr is present as 90Y after a period of 30 days, using appropriate units (e.g. % or ppm). Show your working. [°Y] = (e-kit – e-k2t)[°°Sr]o k2-ki
Transcribed Image Text:(c) The radioactive decay of nuclides is a first order process. Strontium-90 decays via yttrium-90 to ultimately form zirconium-90 via sequential ß-decay. B-decay B-decay 90y 90zr t12 = 28.8 y t1/2 = 64.1 h Calculate the rate constants for the decay of 9"Sr and for the decay of 90Y, which you should label kı and k2, respectively. You will find it helpful to express these rate constants in the same units, using scientific notation where appropriate. (ii) Write down expressions for ["Sr] and d[0Y]/dt and therefore show that: + k2[®Y] = k,[°Sr]oe(-k1t) dt (iii) The expression from part (ii) can be solved to give the new expression below (you do not need to show how this is achieved). Use this expression to quantify which fraction of 90Sr is present as 90Y after a period of 30 days, using appropriate units (e.g. % or ppm). Show your working. [°Y] = (e-kit – e-k2t)[°°Sr]o k2-ki
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