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CHAPTER 21 BLM ANSWER KEY BLM 21-1: Fission and Fusion/ Reinforcement nucleus are not attracted to one another. However, protons on either side of the nucleus repulse one another. When they absorb a neutron, certain large nuclei therefore react by splitting into smaller nuclei with higher binding energies per nucleon. Answers 1. Both fission and fusion reactions are transmutations, in which a nuclide or nuclides change to become a nuclide or nuclides of different elements. Both fission and fusion release a great deal of thermal energy. 5. In fission reactions, one large nucleus absorbs a neutron and splits, producing two smaller nuclei and neutrons. An example of a fission reaction is: 1 0 n 235 92 U 92 36 Kr 141 56 Ba 301 n thermal energy 6. E mc 2 4.32 108 kg 2.998 108 m/s In a fusion reaction, two nuclei join, forming a single, larger nucleus. An example of a fusion reaction is: 2 1 2. (a) (b) (c) 3. (a) (b) 4. (a) (b) 1 0 n 235 92 4 2 U 90 37 1 0 Rb 144 55 7. Cs 2 01 n thermal energy The reaction is a fission reaction because one large nucleus splits when it absorbs a neutron, releasing two smaller nuclei, neutrons, energy. The energy produced by the fission reaction is from the conversion of some of the mass of the uranium nucleus into energy. Therefore, the combined mass of the rubidium and cesium nuclei is less than the mass of the uranium nucleus. 2 3.88 109 J H H He n thermal energy 3 1 When a large nucleus splits into two smaller nuclei, the daughter nuclei have roughly the same neutron to proton ratio as the parent nucleus. Stable nuclei of the same size as the daughter nuclei have a much smaller neutron to proton ratio. As a result, the daughter nuclei are highly unstable. Fusion reactions require very high temperatures to proceed. Only at high temperatures do the parent nuclei have sufficient kinetic energy to overcome the Coulomb repulsion between them. The nuclei need to get very close to one another so that the attractive strong nuclear force can attract them. BLM 21-2: Nuclear Waste/Science Inquiry Teaching Tips Encourage students to find their information from a wide variety of sources, such as the Internet, government publications, journals, texts, and e-mail interviews with experts. Students should consider the source of their information and possible bias, especially in relation to a topic as controversial as nuclear waste. For example, information from the Sierra Club will likely have an anti-nuclear bias, while information from AECL (Atomic Energy of Canada Limited) will likely have a pro-nuclear bias. Ensure students understand the difference between storage of nuclear waste and disposal of nuclear waste. Storage is a way of temporarily dealing with waste before it can be disposed of permanently. The equation shows a fission reaction. 235 92 U 01 n 140 54 Xe 94 38 Sr 2 01 n For nuclides with atomic mass numbers over 60, binding energy per nucleon decreases as atomic mass number decreases. Therefore, when large nuclei fission, they form smaller nuclei with higher binding energies. The difference in binding energy translates as a mass difference between the parent nucleus (more massive) and the daughter nuclei (less massive). As a result, fission releases thermal energy. Very large nuclei are unstable due to the short range of the strong nuclear force. As the size of a nucleus increases, nucleons on either side of the CHAPTER 21 BLM ANSWER KEY BLM 21-5: Chapter 21 Test/Assessment Calandria — the sealed calandria contains the fuel rods and heavy water moderator. It is one of the many levels of containment for the CANDU reactor. Answers 1. (a) A chain reaction is a self-sustaining series of reactions, in which one reaction stimulates further reactions. An example is nuclear fission, in which the neutrons emitted by one fission even can stimulate further fission events. 4. (a) a nucleus of uranium-235 absorbs a neutron, the nucleus splits into two smaller nuclei and some neutrons. There are a number of possible fission products—the only restriction is that the total mass number of the products must remain the same as the total mass number of the reactants. For example, the fission of uranium-235 can produce an atom of barium-141, an atom of krypton-92, and three neutrons; or it can produce an atom of rubidium-90, an atom of cesium-144, and two neutrons. There are a great number of other possibilities. The moderator slows down the fast neutrons emitted by fissioning nuclei, ensuring that the neutrons will cause further fissions, and thus maintaining the chain reaction at a critical level. (b) When 2. (a) (b) (b) The isotopes of cadmium and boron used in control rods have an exceptional ability to absorb neutrons, thus slowing down the chain reaction. (c) The incomplete equation shows a fusion reaction. 2 1 H 31 H 42 He 01 n thermal energy 3. Calandria tubes — sealed calandria tubes hold the zirconium alloy tubes, which contain the fuel pellets. Control rods — rods made of boron or cadmium are lowered into or raised out of the reactor core, absorbing the right number of neutrons to maintain the chain reaction at a critical level. When the fission process is critical, one neutron from each fission event causes one more fission event. At the critical level, the reaction is sustained at a constant rate. When the process is subcritical, fewer than one neutron from each fission event causes a further fission event. The reaction slows down and will eventually cease. When the process is supercritical, more than one neutron from each fission event causes a further fission event. As a result, the chain reaction speeds up very quickly. It is important to maintain the chain reaction in a reactor at the critical level so that energy is produced at a constant rate. The chain reaction does not stop, nor does it escalate out of control. 5. CANDU reactors use heavy water as a moderator. Heavy water is an excellent moderator, meaning it slows down enough neutrons to sustain a chain reaction at the critical level when natural uranium is used as a fuel. When other moderators are used, enriched uranium (containing an increased percentage of uranium-235) must be used as fuel to ensure the chain reaction remains critical. 6. In fission, a large nucleus splits into two smaller nuclei. In fusion, two small nuclei come together to form one larger nucleus. In both cases, the binding energy per nucleon of the product(s) is larger than the binding energy per nucleon of the reactant(s). This means that the total mass of the product(s) is smaller than the total energy of the reactant(s). The difference in mass is converted into energy via Einstein’s equation, ΔE = Δmc2. Because c2 is such an enormous factor, even a small change in mass translates to a large change in energy. 7. (a) Compared to fission, fusion produces more energy per gram of fuel, the fuel itself is more plentiful, and the byproducts of the chain reaction are not nearly as dangerous. CHAPTER 21 BLM ANSWER KEY (b) To initiate and sustain a fusion chain reaction, gases must be raised to and maintained at extremely high temperatures. No materials can withstand such high temperatures, so other ways must be found to contain the gases. One potential method is to use magnetic fields, as has been done in the experimental Tokamak fusion reactor at Princeton University. 8. Accept all student answers that are well thought out and supported by examples. Most students will probably say that nuclear reactions are not always harmful to humans. For example, we rely on fusion reactions that take place in the Sun for our very existence.