Difference between revisions of "Problem set 3"
(→Mass, activity and the law of radioactive decay) |
|||
Line 1: | Line 1: | ||
− | = Mass, activity and the law of radioactive decay<br> = | + | = Mass, activity and the law of radioactive decay<br> = |
====== Return to [[Problem Solving Sets]] ====== | ====== Return to [[Problem Solving Sets]] ====== | ||
Line 5: | Line 5: | ||
<br> | <br> | ||
− | '''1:''' Calculate the rate of disintegration of the following:<br> | + | '''1:''' |
+ | |||
+ | Calculate the rate of disintegration of the following:<br> | ||
#1.0 • 10<sup>13</sup> atoms <sup>99m</sup>Tc.<br> | #1.0 • 10<sup>13</sup> atoms <sup>99m</sup>Tc.<br> | ||
Line 14: | Line 16: | ||
<br> | <br> | ||
− | '''2:''' Calculate the amount of atoms in the following nuclides:<br> | + | '''2:''' |
+ | |||
+ | Calculate the amount of atoms in the following nuclides:<br> | ||
#10 MBq of <sup>32</sup>P<br> | #10 MBq of <sup>32</sup>P<br> | ||
Line 21: | Line 25: | ||
<br> | <br> | ||
− | '''3:''' A source of <sup>60</sup>Co has a rate of disintegration equal to 1.0 • 10<sup>14</sup> Bq. | + | '''3:''' |
+ | |||
+ | A source of <sup>60</sup>Co has a rate of disintegration equal to 1.0 • 10<sup>14</sup> Bq. What is the mass of <sup>60</sup>Co in grams?<br> | ||
<br> | <br> | ||
− | '''4:''' A preparation labelled <sup>3</sup>H disintegrates with 3.0 • 10<sup>5</sup> Bq.<br> | + | '''4:''' |
+ | |||
+ | A preparation labelled <sup>3</sup>H disintegrates with 3.0 • 10<sup>5</sup> Bq.<br> | ||
#What is the rate of disintegration after 3 years?<br> | #What is the rate of disintegration after 3 years?<br> | ||
Line 32: | Line 40: | ||
<br> | <br> | ||
− | '''5:''' A patient is administered 4.0 • 10<sup>7</sup> Bq <sup>99m</sup>Tc in connection with a nuclear medicine examination. Calculate the amount of mass of <sup>99m</sup>Tc injected in the patient. The daughter nuclide <sup>99</sup>Tc 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.<br> | + | '''5:''' |
+ | |||
+ | A patient is administered 4.0 • 10<sup>7</sup> Bq <sup>99m</sup>Tc in connection with a nuclear medicine examination. Calculate the amount of mass of <sup>99m</sup>Tc injected in the patient. The daughter nuclide <sup>99</sup>Tc 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.<br> | ||
<br> | <br> | ||
− | '''6:''' Calculate the rate of disintegration of the following:<br> | + | '''6:''' |
+ | |||
+ | Calculate the rate of disintegration of the following:<br> | ||
#1.0 g natural Lu-metal<br> | #1.0 g natural Lu-metal<br> | ||
Line 43: | Line 55: | ||
'''<br>''' | '''<br>''' | ||
− | '''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?<br> | + | '''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?<br> | ||
<br> | <br> | ||
− | '''8:''' In nature <sup>234</sup>U exist in equilibrium with <sup>238</sup>U as a daughter product.<br> | + | '''8:''' |
+ | |||
+ | In nature <sup>234</sup>U exist in equilibrium with <sup>238</sup>U as a daughter product.<br> | ||
#How much <sup>238</sup>U has an equivalent disintegration rate as 1g <sup>234</sup>U?<br> | #How much <sup>238</sup>U has an equivalent disintegration rate as 1g <sup>234</sup>U?<br> |
Revision as of 16:44, 25 June 2012
Mass, activity and the law of radioactive decay
Return to Problem Solving Sets
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?