Difference between revisions of "Problem set 3"
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− | + | <h1> Mass, Activity and the Law of Radioactive Decay<br /> </h1> | |
− | + | <h6> Return to <a _fcknotitle="true" href="Problem Solving Sets">Problem Solving Sets</a> </h6> | |
− | == | + | <p><br /> |
− | + | </p><p><b>1:</b> | |
− | <br> | + | </p><p>Calculate the rate of disintegration of the following:<br /> |
− | + | </p> | |
− | + | <ol><li>1.0 • 10<sup>13</sup> atoms <sup>99m</sup>Tc.<br /> | |
− | + | </li><li>1.0 • 10<sup>14</sup> atoms <sup>14</sup>C.<br /> | |
− | Calculate the rate of disintegration of the following:<br> | + | </li><li>1.0 grams <sup>239</sup>Pu.<br /> |
− | + | </li><li>1.0 gram <sup>235</sup>U.<br /> | |
− | + | </li></ol> | |
− | + | <p><br /> | |
− | + | </p><p><b>2:</b> | |
− | + | </p><p>Calculate the amount of atoms in the following nuclides:<br /> | |
− | + | </p> | |
− | <br> | + | <ol><li>10 MBq of <sup>32</sup>P<br /> |
− | + | </li><li>200 kBq of <sup>131</sup>I<br /> | |
− | + | </li></ol> | |
− | + | <p><br /> | |
− | Calculate the amount of atoms in the following nuclides:<br> | + | </p><p><b>3:</b> |
− | + | </p><p>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 /> | |
− | + | </p><p><br /> | |
− | + | </p><p><b>4:</b> | |
− | + | </p><p>A preparation labelled <sup>3</sup>H disintegrates with 3.0 • 10<sup>5</sup> Bq.<br /> | |
− | <br> | + | </p> |
− | + | <ol><li>What is the rate of disintegration after 3 years?<br /> | |
− | + | </li><li>How long does it take for the rate of disintegration to reach 2.0 • 10<sup>5</sup> Bq?<br /> | |
− | + | </li></ol> | |
− | 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> | + | <p><br /> |
− | + | </p><p><b>5:</b> | |
− | <br> | + | </p><p>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 /> |
− | + | </p><p><br /> | |
− | + | </p><p><b>6:</b> | |
− | + | </p><p>Calculate the rate of disintegration of the following:<br /> | |
− | A preparation labelled <sup>3</sup>H disintegrates with 3.0 • 10<sup>5</sup> Bq.<br> | + | </p> |
− | + | <ol><li>1.0 g natural Lu-metal<br /> | |
− | + | </li><li>1.0 g natural Sm-metal<br /> | |
− | + | </li></ol> | |
− | + | <p><b><br /></b> | |
− | <br> | + | </p><p><b>7:</b> |
− | + | </p><p>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 /> | |
− | + | </p><p><br /> | |
− | + | </p><p><b>8:</b> | |
− | 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> | + | </p><p>In nature <sup>234</sup>U exist in equilibrium with <sup>238</sup>U as a daughter product.<br /> |
− | + | </p> | |
− | <br> | + | <ol><li>How much <sup>238</sup>U has an equivalent disintegration rate as 1g <sup>234</sup>U?<br /> |
− | + | </li><li>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 /> | |
− | + | </li></ol> | |
− | + | <p><br /> | |
− | Calculate the rate of disintegration of the following:<br> | + | </p><p><br /> |
− | + | </p><p><br /> | |
− | + | </p> | |
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− | 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> | ||
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− | In nature <sup>234</sup>U exist in equilibrium with <sup>238</sup>U as a daughter product.<br> | ||
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Revision as of 16:56, 25 June 2012
Mass, Activity and the Law of Radioactive Decay
Return to <a _fcknotitle="true" href="Problem Solving Sets">Problem Solving Sets</a>
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?