Difference between revisions of "Problem set 3"
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= Mass, activity and the law of radioactive decay<br> = | = Mass, activity and the law of radioactive decay<br> = | ||
− | ====== | + | ====== Return to [[Problem Solving Sets]] ====== |
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− | <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>14</sup> atoms <sup>14</sup>C.<br> | |
− | #1.0 • 10<sup>13</sup> atoms <sup>99m</sup>Tc.<br> | + | #1.0 grams <sup>239</sup>Pu.<br> |
− | #1.0 • 10<sup>14</sup> atoms <sup>14</sup>C.<br> | ||
− | #1.0 grams <sup>239</sup>Pu.<br> | ||
#1.0 gram <sup>235</sup>U.<br> | #1.0 gram <sup>235</sup>U.<br> | ||
− | <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> |
#200 kBq of <sup>131</sup>I<br> | #200 kBq of <sup>131</sup>I<br> | ||
− | <br> | + | <br> |
− | '''3:''' A source of <sup>60</sup>Co has a rate of disintegration equal to 1.0 • 10<sup>14</sup> Bq. How much grams of <sup>60</sup>Co does it contain?<br> | + | '''3:''' A source of <sup>60</sup>Co has a rate of disintegration equal to 1.0 • 10<sup>14</sup> Bq. How much grams of <sup>60</sup>Co does it contain?<br> |
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− | '''4:''' A preparation labeled <sup>3</sup>H disintegrates with 3.0 • 10<sup>5</sup> Bq.<br> | + | '''4:''' A preparation labeled <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> |
#How long does it take for the rate of disintegration to reach 2.0 • 10<sup>5</sup> Bq?<br> | #How long does it take for the rate of disintegration to reach 2.0 • 10<sup>5</sup> Bq?<br> | ||
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− | '''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> |
#1.0 g natural Sm-metal<br> | #1.0 g natural Sm-metal<br> | ||
− | '''<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> |
#Given the amounts from a) is separated as pure <sup>238</sup>U and <sup>234</sup>U, how many percent has the amount of <sup>238</sup>U decreased when the amount of <sup>234</sup>U is halved? <br> | #Given the amounts from a) is separated as pure <sup>238</sup>U and <sup>234</sup>U, how many percent has the amount of <sup>238</sup>U decreased when the amount of <sup>234</sup>U is halved? <br> | ||
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Revision as of 10:42, 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. How much grams of 60Co does it contain?
4: A preparation labeled 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?