Honors Chem Nuclear Chemistry Review 1. Name ______________________________________ # _______ What makes atoms radioactive? An unstable nucleus possible due to a large size or a large difference between numbers of protons and neutrons 2. What makes nuclear reactions different from chemical reactions? In nuclear reactions, the nucleus is changed to make it more stable. In chemical reactions, the nucleus remains unchanged. 3. What is it called when an element is changed to a new element during a nuclear reaction? 4. An isotope of Cerium had a mass of 145.6688g initially and after decay the mass was measured at 145.6107g. How much energy was produced through this decay process? E = mc2 m = 145.6688 g – 145.6107 g = 0.0581 g E=? 0.0581 g 1 x 1 kg 1 x 103 g = E = 5.23 x 1012 J Calculate the energy produced in kilojoules when an isotope lost 0.0245g of mass during its decay period. E = mc2 E=? 0.0245 g 1 x 1 kg 1 x 103 g m = 0.0245 g = c = 3.00 x 108 m/s 2.45 x 10-5 kg E = 2.45 x 10-5 kg (3.00 x 108 m/s)2 2.21 x 1012 J 1 6. c = 3.00 x 108 m/s 5.81 x 10-5 kg E = 5.81 x 10-5 kg (3.00 x 108 m/s)2 5. transmutation x 1 kJ 1 x 103 J = E = 2.21 x 1012 J 2.21 x 109 kJ What is ionizing radiation, and why is it a health concern? Ionizing radiation is radiation that is powerful enough to knock electrons out of atoms. It is a health concern because it can damage molecules, including DNA. 7. How does the band of stability change as the atomic number increases? When the atomic number is low, atoms are stable with roughly a 1:1 ratio of protons to neutrons. As the atomic number increases, the band shifts and atoms a higher ratio of neutrons to protons to be stable. 8. Fill in the table below. (some cells may be blank) Type of Radiation Particle Symbol Side of Equation (reactant or product) Alpha decay 4 α 2 Product Beta decay 0 β -1 Product Electron capture 0 e -1 Reactant 0 1 e Product 0 γ 0 Product Positron emission Gamma ray Alternate Names Beta negative emission Beta positive emission 9. Show all work for each step(s) in the following nuclear reactions. a) Polonium – 210 decays by 2 successive alpha particle emissions. 210 Po 84 42α + 20682Pb 206 Pb 82 42α + 20280Hg b) Copper – 59 decays by electron capture and then by alpha particle emission. + 0-1e 5928Ni 59 Cu 29 59 Ni 28 c) 42α + 5526Fe Lead – 212 decays by beta negative emission, then by alpha particle emission, and then by positron emission. 212 Pb 82 0-1 + 21283Bi 212 Bi 83 42α + 20881Tl 208 Tl 81 01e + 20880Hg d) The product of two successive alpha particle emissions is Radium – 235. 243 U 92 42α + 23990Th 239 Th 90 42α + 23588Ra 10. Define the following terms and give examples of each process: a) Nuclear Fission – The splitting of a larges nucleus into smaller nuclei. It is used to fuel nuclear bombs and power plants. b) Nuclear Fusion- The combining of smaller nuclei to form a larger nucleus. It is used to fuel hydrogen bombs and stars. 11. A sample contains 0.5 g of radioactive material after 10 half-lives. What was the mass of the original amount of radioactive material? 0.5g 1g 2g 4g 8g 16g 32g 64g 128g 256g 512g 12. 400 g of a radioactive material decayed over 20 h. What fraction of the original sample is left if the half-life for the material is 5 h? 20 h / 5h = 4 half-lives 400g 200g 100g 50g 25g 1 ½ ¼ 1/8 1/16 13. Why are nuclides with short half -lives always used for medical procedures? Nuclides with short half-lives will have most of the sample decay in a short period of time. This limits the patient’s exposure to radioactivity. 14. Why is C – 14 dating not an accurate way to determine the age of an object older than 50,000 yrs. old? The half-life for C-14 is not quite 6,000 years. At 50,000 years, the sample would have very little C-14 left to measure. 15. An isotope with an original mass of 22.0g was allowed to decay for 7.7 days. What is the amount remaining if the half life is 3.3 days? (This is bonus level work.) A = A0ekt A= 11.0g A0= 22.0g 11.0g = 22.0g ek( 3.3 days) 0.5 = ek( 3.3 days) ln 0.5 = k (3.3 days) A = A0ekt A= ? A0= 22.0 g -1 (7.7 days) A = (22.0 g) e-0.2100446 d k=? t= 3.3 days k= -0.2100446 d-1 k = -0.2100446 d-1 A = 4.37 g t= 7.7 days