(5) A PET (Positron Emission Tomography) scan gives a person a radiation dose of 54.5mSv. All of the 54.5mSv dose came from the full decay of a sample of fluorine-18 (meaning every single atom has decayed) given to the patient. Each decay gives off about 0.6335M V. The half-life of fluorine-18 is about 109.77min. (a) How much total energy does the scan deliver to a person who is 94.2k:g? (b) How many fluorine-18 atoms were in the sample when it was administered to the patient? (c) What is the activity (in Becquerel) of the sample 9.84h after the sample was admin- istered to the patient? (d) What is the radius of a fluorine-18 nucleus? (e) How does the density of the fluorine-18 nucleus compare to the density of a nucleus of uranium-238?

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Chapter1: Chemical Foundations
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(5) A PET (Positron Emission Tomography) scan gives a person a radiation dose of 54.5mSv.
All of the 54.5mSv dose came from the full decay of a sample of fluorine-18 (meaning every
single atom has decayed) given to the patient. Each decay gives off about 0.6335M V. The
half-life of fluorine-18 is about 109.77min.
(a) How much total energy does the scan deliver to a person who is 94.2kg?
(b) How many fluorine-18 atoms were in the sample when it was administered to the
patient?
(c) What is the activity (in Becquerel) of the sample 9.84h after the sample was admin-
istered to the patient?
(d) What is the radius of a fluorine-18 nucleus?
(e) How does the density of the fluorine-18 nucleus compare to the density of a nucleus
of uranium-238?
Transcribed Image Text:(5) A PET (Positron Emission Tomography) scan gives a person a radiation dose of 54.5mSv. All of the 54.5mSv dose came from the full decay of a sample of fluorine-18 (meaning every single atom has decayed) given to the patient. Each decay gives off about 0.6335M V. The half-life of fluorine-18 is about 109.77min. (a) How much total energy does the scan deliver to a person who is 94.2kg? (b) How many fluorine-18 atoms were in the sample when it was administered to the patient? (c) What is the activity (in Becquerel) of the sample 9.84h after the sample was admin- istered to the patient? (d) What is the radius of a fluorine-18 nucleus? (e) How does the density of the fluorine-18 nucleus compare to the density of a nucleus of uranium-238?
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