Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find Half life:
U1= 2110
U2= 2159
X1= 9855
X2= 4315
t (days) = 56
please find value of T1/2
Transcribed Image Text:Isotope Half-life
Radiation Field of application
238U
4.5-10° years
nuclear energy production
14C
5.5-103 years B-
radiocarbon dating
3H
12.4 years
B-
chemical tracer
radiotherapy, sterilization
Shilling-test (vitamin B12)
60CO
5.3 years
Y
45Ca
152 days
B-
research (Ca metabolism)
35S
87.3 days
B-
research
89Sr
51 days
B-
radiotherapy, bone metastases diagnostics (Ca analogue)
59FE
47.1 days
B-
iron metabolism test (in the spleen)
86Rb
19.5 days
B-, Y
research
32P
14.3 days
B-
research: DNA, ATP tracing
131|
8 days
thyroid scintigraphy
133Xe
5.2 days
ventilation scintigraphy
198AU
2.7 days
B-
radio-chemotherapy (brachytherapy)
115Cd
2.3 days
B-
research
24Na
14.6 hours
B-, Y
research (water homeostasis)
42K
12.4 hours
B-
blood circulation test
99mTc
6 hours
scintigraphic tracer
19F
110 mins
B+
PET contrast
82RD
78 seconds
B+
myocardium PET
Transcribed Image Text:Formula: (X1/X2)*(U2/U1)=2T1/2
Steps of the calculation:
1st step: calculate the left side of the
equation (all data are given in this pdf,
X1,X2,U1,U2 and t).
2nd step: take the logarithm of both sides,
do not forget logarithmic identities.
3rd step: calculate T1/2 in days and find the
isotope in the table: Half life
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