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PES Skill Sheets.book - Capital High School

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Page 2 of 2<br />

1. The decay series for uranium-238 and plutonium-240 are listed below. Above each arrow, write “a”<br />

for alpha decay or “b” for beta decay to indicate which type of decay took place at each step.<br />

a. 238 → 234 → 234 → 234 → 230 →<br />

92 U<br />

226<br />

88 Ra<br />

214<br />

84 Po<br />

240<br />

94 Pu<br />

90 Th<br />

222<br />

86 Rn<br />

210<br />

82 Pb<br />

91 Pa<br />

218<br />

84 Po<br />

→ → → → →<br />

210<br />

83 Bi<br />

→ → → →<br />

240<br />

95Am 236<br />

93 Np<br />

b. → → → → →<br />

228<br />

90 Bi<br />

212<br />

83 Bi<br />

224<br />

88 Ra<br />

224<br />

89 Ac<br />

→ → → → →<br />

212<br />

84 Po<br />

208<br />

82 Pb<br />

→ → →<br />

18<br />

92 U<br />

214<br />

82 Pb<br />

210<br />

84 Po<br />

232<br />

91 Pa<br />

220<br />

87 Fr<br />

208<br />

83 Bi<br />

90 Th<br />

214<br />

83 Bi<br />

206<br />

82 Pb<br />

232<br />

92 U<br />

216<br />

85 At<br />

2. Fluorine-18 ( 9F<br />

) has a half-life of 110 seconds. This material is used extensively in medicine. The hospital<br />

18<br />

laboratory starts the day at 9 a.m. with 10 grams of 9F<br />

.<br />

a. How many half-lives for fluorine-18 occur in 11 minutes (660 seconds)?<br />

b. How much of the 10-gram sample of fluorine-18 would be left after 11 minutes?<br />

14<br />

3. The isotope 6C<br />

has a half-life of 5,730 years. What is the fraction of 6C<br />

in a sample with mass, m, after<br />

28,650 years?<br />

4. What is the half-life of this radioactive isotope that decreases to one-fourth its original amount in 18 months?<br />

5. This diagram illustrates a formula that is used to calculate the intensity of radiation from a radioactive<br />

source. Radiation “radiates” from a source into a spherical area. Therefore, you can calculate intensity using<br />

the area of a sphere ( 4πr ). Use the formula and the diagram to help you answer the questions below.<br />

2<br />

a. A radiation source with a power of 1,000. watts is located at a point in space. What is the intensity of<br />

radiation at a distance of 10. meters from the source?<br />

b. The fusion reaction releases 2.8 × 10 –12 2<br />

1H<br />

H<br />

joules of energy. How many such<br />

reactions must occur every second in order to light a 100-watt light bulb? Note that one watt equals one<br />

joule per second.<br />

3 4<br />

+ 1 →<br />

2He + n + energy<br />

14<br />

14.4

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