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Chapter 19 The Nucleus: A Chemist’s View Section 19.1 Nuclear Stability and Radioactive Decay Review Atomic Number (Z) – number of protons Mass Number (A) – sum of protons and neutrons A Z Copyright © Cengage Learning. All rights reserved X 2 Section 19.2 The Kinetics of Radioactive Decay 4 Forces in Nature Force Equation notes Gravity F = G m1 m2/r2 Works at an infinite distance. Weakest of all forces. Electromagnetic F = K q1 q2/r2 Works for short distances, Holds the atom together. Strong Nuclear force E =mc2 (mass defect) This is the glue that holds the nucleus together. Weak nuclear force The force responsible for radioactivity. Pulls the nucleus apart. Section 19.2 The Kinetics of Radioactive Decay Stable nuclei When the strong force is greater than the weak force the nucleus is stable. No nucleus beyond lead is stable indefinitely. Iron has the most stable nuclei. Most atoms have examples of stable and unstable nuclei Section 19.1 Nuclear Stability and Radioactive Decay The Zone of Stability Copyright © Cengage Learning. All rights reserved 5 Section 19.1 Nuclear Stability and Radioactive Decay Unstable nuclei When the weak force is greater than the strong force the nucleus is unstable. Unstable nuclei become stable by changing the make up of their nucleus This process is known as radioactive decay. Section 19.1 Nuclear Stability and Radioactive Decay Radioactive Stability Nuclides with 84 or more protons are unstable. Light nuclides are stable when Z equals A – Z (neutron/proton ratio is 1). For heavier elements the neutron/proton ratio required for stability is greater than 1 and increases with Z. Copyright © Cengage Learning. All rights reserved 7 Section 19.1 Nuclear Stability and Radioactive Decay Radioactive Stability Certain combinations of protons and neutrons seem to confer special stability. Even numbers of protons and neutrons are more often stable than those with odd numbers. Copyright © Cengage Learning. All rights reserved 8 Section 19.1 Nuclear Stability and Radioactive Decay Radioactive Stability Certain specific numbers of protons or neutrons produce especially stable nuclides. 2, 8, 20, 28, 50, 82, and 126 Copyright © Cengage Learning. All rights reserved 9 Section 19.1 Nuclear Stability and Radioactive Decay Types of Radioactive Decay Alpha production (α): Beta production (β): Copyright © Cengage Learning. All rights reserved 10 Section 19.1 Nuclear Stability and Radioactive Decay Types of Radioactive Decay Gamma ray production (γ): Positron production: Copyright © Cengage Learning. All rights reserved 11 Section 19.1 Nuclear Stability and Radioactive Decay Types of Radioactive Decay Electron capture: Inner-orbital electron Copyright © Cengage Learning. All rights reserved 12 Section 19.1 Nuclear Stability and Radioactive Decay Decay Series (Series of Alpha and Beta Decays) Copyright © Cengage Learning. All rights reserved 13 Section 19.1 Nuclear Stability and Radioactive Decay CONCEPT CHECK! Which of the following produces a particle? a) 68 31 b) 62 29 c) 212 87 d) 129 51 Ga + 0 1 Cu Fr Sb Copyright © Cengage Learning. All rights reserved e 0 1 4 2 e+ He + 0 1 e+ 68 30 62 28 Zn electron capture Ni positron 208 85 At alpha particle Te beta particle 129 52 14 Section 19.2 The Kinetics of Radioactive Decay Rate of Decay Rate = kN The rate of decay is proportional to the number of nuclides. This represents a first-order process. Copyright © Cengage Learning. All rights reserved 15 Section 19.2 The Kinetics of Radioactive Decay Half-Life Time required for the number of nuclides to reach half the original value. t1/ 2 Copyright © Cengage Learning. All rights reserved ln 2 0.693 = = k k 16 Section 19.2 The Kinetics of Radioactive Decay Nuclear Particles To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 17 Section 19.2 The Kinetics of Radioactive Decay Half-Life of Nuclear Decay To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 18 Section 19.2 The Kinetics of Radioactive Decay EXERCISE! A first order reaction is 35% complete at the end of 55 minutes. What is the value of k? k = 7.8 × 10-3 min-1 Section 19.3 Nuclear Transformations Nuclear Transformation The change of one element into another. 27 13 249 98 Al + He 4 2 30 15 1 0 P+ n 263 Cf + 188 O 106 Sg + 4 01 n Copyright © Cengage Learning. All rights reserved 20 Section 19.3 Nuclear Transformations A Schematic Diagram of a Cyclotron 21 Section 19.3 Nuclear Transformations A Schematic Diagram of a Linear Accelerator Copyright © Cengage Learning. All rights reserved 22 Section 19.4 Detection and Uses of Radioactivity Measuring Radioactivity Levels Geiger counter Scintillation counter Copyright © Cengage Learning. All rights reserved 23 Section 19.4 Detection and Uses of Radioactivity Geiger Counter To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 24 Section 19.4 Detection and Uses of Radioactivity Carbon–14 Dating Used to date wood and cloth artifacts. Based on carbon–14 to carbon–12 ratio. Copyright © Cengage Learning. All rights reserved 25 Section 19.4 Detection and Uses of Radioactivity Radiotracers Radioactive nuclides that are introduced into organisms in food or drugs and whose pathways can be traced by monitoring their radioactivity. Copyright © Cengage Learning. All rights reserved 26 Section 19.4 Detection and Uses of Radioactivity Radiotracers Copyright © Cengage Learning. All rights reserved 27 Section 19.5 Thermodynamic Stability of the Nucleus Energy and Mass When a system gains or loses energy it also gains or loses a quantity of mass. E = mc2 Δm = mass defect ΔE = change in energy If ΔE is negative (exothermic), mass is lost from the system. Copyright © Cengage Learning. All rights reserved 28 Section 19.5 Thermodynamic Stability of the Nucleus Mass Defect (Δm) Calculating the mass defect for 42 He: Since atomic masses include the masses of the electrons, we must account for the electron mass. 4.0026 = mass of 1.0078 = mass of 4 2 He 1 1H atom = mass of atom = mass of 4 2 He 1 1H nucleus + 2me nucleus + me He nucleus is “synthesized” from 2 protons and two neutrons. 4 2 m = 4.0026 2me m = 0.0304 amu 2 1.0078 me + 2 1.0087 29 Section 19.5 Thermodynamic Stability of the Nucleus Binding Energy The energy required to decompose the nucleus into its components. Iron-56 is the most stable nucleus and has a binding energy of 8.79 MeV. Copyright © Cengage Learning. All rights reserved 30 Section 19.5 Thermodynamic Stability of the Nucleus Binding Energy per Nucleon vs. Mass Number Copyright © Cengage Learning. All rights reserved 31 Section 19.6 Nuclear Fission and Nuclear Fusion Nuclear Fission and Fusion Fusion – Combining two light nuclei to form a heavier, more stable nucleus. Fission – Splitting a heavy nucleus into two nuclei with smaller mass numbers. 1 0 n+ 235 92 U 142 56 Ba + 91 36 Kr + 3 01 n Bombardment+ Parent Daughters + neutrons Copyright © Cengage Learning. All rights reserved 32 Section 19.6 Nuclear Fission and Nuclear Fusion Nuclear Fission To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 33 Section 19.6 Nuclear Fission and Nuclear Fusion Criterion for a self sustaining reaction: The target nuclei must produce at least one neutrons upon splitting. The must be sufficient mass of target nuclei for the reaction to continue. The mass defect must be sufficient in order to produce high energy emissions. Section 19.6 Nuclear Fission and Nuclear Fusion Fission Processes A self-sustaining fission process is called a chain reaction. Neutrons Causing Fission Event Event subcritical <1 critical =1 supercritical >1 Copyright © Cengage Learning. All rights reserved Result reaction stops sustained reaction violent explosion 35 Section 19.6 Nuclear Fission and Nuclear Fusion Schematic Diagram of a Nuclear Power Plant Copyright © Cengage Learning. All rights reserved 36 Section 19.6 Nuclear Fission and Nuclear Fusion Schematic Diagram of a Reactor Core Copyright © Cengage Learning. All rights reserved 37 Section 19.6 Nuclear Fission and Nuclear Fusion What does each part do? Fuel rods: Contains fissionable material Control Rods: Conic neutron “catchers” made of boron or cadmium Heat exchanger: Web of pipes containing superheated fluid that boils the water Reactor vessel: Contains reactor core Containment fluid: Fluid that surrounds fissionable material also serves to control reaction Turbine: Spins when steam passes through Section 19.6 Nuclear Fission and Nuclear Fusion More parts Generator: Connected to turbine. Converts mechanical Energy to electrical Condenser: Returns steam to water. External water source: Provides water for condenser. Cooling tower: Releases excess heat so water can be returned to ecosystem Pumps: Move fluid around and create elevated pressure conditions Section 19.4 Detection and Uses of Radioactivity Nuclear Waste High level Low Level Section 19.6 Nuclear Fission and Nuclear Fusion Nuclear Energy? Pros Cons Section 19.6 Nuclear Fission and Nuclear Fusion Nuclear Fusion To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 42 Section 19.7 Effects of Radiation Biological Effects of Radiation Depend on: 1. 2. 3. 4. Energy of the radiation Penetrating ability of the radiation Ionizing ability of the radiation Chemical properties of the radiation source Copyright © Cengage Learning. All rights reserved 43 Section 19.7 Effects of Radiation rem (roentgen equivalent for man) The energy dose of the radiation and its effectiveness in causing biologic damage must be taken into account. Number of rems = (number of rads) × RBE rads = radiation absorbed dose RBE = relative effectiveness of the radiation in causing biologic damage 44 Section 19.7 Effects of Radiation Effects of Short-Term Exposures to Radiation Copyright © Cengage Learning. All rights reserved 45