(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
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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kinetic chemistry
![(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05dd3cb4-971a-4726-ae57-476c6d039f50%2F7a32a9b6-291b-4bdd-a4de-bf81ff5b7ef1%2Foft8z_processed.png&w=3840&q=75)
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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