Problem set 3
Amount of Radioactive Material (number of nuclei, number of moles, weigth) and the Law of Radioactive Decay
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1:
Calculate the rate of disintegration of the following:
- 1.0 • 1013 atoms 99mTc.
- 1.0 • 1014 atoms 14C.
- 1.0 grams 239Pu.
- 1.0 gram 235U.
2:
Calculate the amount of atoms in the following nuclides:
- 10 MBq of 32P
- 200 kBq of 131I
3:
A source of 60Co has a rate of disintegration equal to 1.0 • 1014 Bq. What is the mass of 60Co in grams?
4:
A preparation labelled 3H disintegrates with 3.0 • 105 Bq.
- What is the rate of disintegration after 3 years?
- How long does it take for the rate of disintegration to reach 2.0 • 105 Bq?
5:
A patient is administered 4.0 • 107 Bq 99mTc in connection with a nuclear medicine examination. Calculate the amount of mass of 99mTc injected in the patient. The daughter nuclide 99Tc is radioactive, but has a very long half-life. Show that the total rate of disintegration in the patient is insignificant one week after the examination.
6:
Calculate the rate of disintegration of the following:
- 1.0 g natural Lu-metal
- 1.0 g natural Sm-metal
7:
Recently it was showed that natural Bi is radioactive. How much amount of Bi is required to give a disintegration rate of 10 Bq?
8:
In nature 234U exist in equilibrium with 238U as a daughter product.
- How much 238U has an equivalent disintegration rate as 1g 234U?
- Given the amounts from a) is separated as pure 238U and 234U, how many percent has the amount of 238U decreased when the amount of 234U is halved?