Chapter 19 The Nucleus: A Chemist’s View Chapter 19 Table of Contents 19.1 19.2 19.3 19.4 19.5 19.6 19.7 Nuclear Stability and Radioactive Decay The Kinetics of Radioactive Decay Nuclear Transformations Detection and Uses of Radioactivity Thermodynamic Stability of the Nucleus Nuclear Fission and Nuclear Fusion Effects of Radiation Copyright © Cengage Learning. All rights reserved 2 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 X Return to TOC Copyright © Cengage Learning. All rights reserved 3 Section 19.1 Nuclear Stability and Radioactive Decay Radioactive Decay • Nucleus undergoes decomposition to form a different nucleus. Return to TOC Copyright © Cengage Learning. All rights reserved 4 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. Return to TOC Copyright © Cengage Learning. All rights reserved 5 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. Return to TOC Copyright © Cengage Learning. All rights reserved 6 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 Return to TOC Copyright © Cengage Learning. All rights reserved 7 Section 19.1 Nuclear Stability and Radioactive Decay The Zone of Stability Return to TOC Copyright © Cengage Learning. All rights reserved 8 Section 19.1 Nuclear Stability and Radioactive Decay Types of Radioactive Decay • Alpha production ( ): • Beta production ( ): Return to TOC Copyright © Cengage Learning. All rights reserved 9 Section 19.1 Nuclear Stability and Radioactive Decay Types of Radioactive Decay • Gamma ray production ( ): • Positron production: Return to TOC Copyright © Cengage Learning. All rights reserved 10 Section 19.1 Nuclear Stability and Radioactive Decay Types of Radioactive Decay • Electron capture: Inner-orbital electron Return to TOC Copyright © Cengage Learning. All rights reserved 11 Section 19.1 Nuclear Stability and Radioactive Decay Decay Series (Series of Alpha and Beta Decays) Return to TOC Copyright © Cengage Learning. All rights reserved 12 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 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 Return to TOC Copyright © Cengage Learning. All rights reserved 13 Section 19.2 Atomic The Kinetics Masses 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. Return to TOC Copyright © Cengage Learning. All rights reserved 14 Section 19.2 Atomic The Kinetics Masses of Radioactive Decay Half-Life • Time required for the number of nuclides to reach half the original value. t1/ 2 ln 2 0.693 = = k k Return to TOC Copyright © Cengage Learning. All rights reserved 15 Section 19.2 Atomic The Kinetics Masses of Radioactive Decay Nuclear Particles Return to TOC Copyright © Cengage Learning. All rights reserved 16 Section 19.2 Atomic The Kinetics Masses of Radioactive Decay Half-Life of Nuclear Decay Return to TOC Copyright © Cengage Learning. All rights reserved 17 Section 19.2 Atomic The Kinetics Masses 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 x 10-3 min-1 Return to TOC Copyright © Cengage Learning. All rights reserved 18 Section 19.3 The MoleTransformations Nuclear Nuclear Transformation • The change of one element into another. 27 13 1 Al + 42 He 30 P + 15 0n 249 98 Cf + O 18 8 263 106 1 0 Sg + 4 n Return to TOC Copyright © Cengage Learning. All rights reserved 19 Section 19.3 The MoleTransformations Nuclear A Schematic Diagram of a Cyclotron Return to TOC Copyright © Cengage Learning. All rights reserved 20 Section 19.3 The MoleTransformations Nuclear A Schematic Diagram of a Linear Accelerator Return to TOC Copyright © Cengage Learning. All rights reserved 21 Section 19.4 Detection and Uses of Radioactivity Measuring Radioactivity Levels • Geiger counter • Scintillation counter Return to TOC Copyright © Cengage Learning. All rights reserved 22 Section 19.4 Detection and Uses of Radioactivity Geiger Counter Return to TOC Copyright © Cengage Learning. All rights reserved 23 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. Return to TOC Copyright © Cengage Learning. All rights reserved 24 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. Return to TOC Copyright © Cengage Learning. All rights reserved 25 Section 19.4 Detection and Uses of Radioactivity Radiotracers Return to TOC Copyright © Cengage Learning. All rights reserved 26 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 m = mass defect E = change in energy • If E is negative (exothermic), mass is lost from the system. Return to TOC Copyright © Cengage Learning. All rights reserved 27 Section 19.5 Thermodynamic Stability of the Nucleus Mass Defect (Δm) 4 2 • Calculating the mass defect for 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 Copyright © Cengage Learning. All rights reserved 2 1.0078 me + 2 1.0087 Return to TOC 28 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 8.97 MeV. Return to TOC Copyright © Cengage Learning. All rights reserved 29 Section 19.5 Thermodynamic Stability of the Nucleus Binding Energy per Nucleon vs. Mass Number Return to TOC Copyright © Cengage Learning. All rights reserved 30 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 91 36 1 0 Ba + Kr + 3 n Return to TOC Copyright © Cengage Learning. All rights reserved 31 Section 19.6 Nuclear Fission and Nuclear Fusion Nuclear Fission Return to TOC Copyright © Cengage Learning. All rights reserved 32 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 Result reaction stops sustained reaction violent explosion Return to TOC Copyright © Cengage Learning. All rights reserved 33 Section 19.6 Nuclear Fission and Nuclear Fusion Schematic Diagram of a Nuclear Power Plant Return to TOC Copyright © Cengage Learning. All rights reserved 34 Section 19.6 Nuclear Fission and Nuclear Fusion Schematic Diagram of a Reactor Core Return to TOC Copyright © Cengage Learning. All rights reserved 35 Section 19.6 Nuclear Fission and Nuclear Fusion Nuclear Fusion Return to TOC Copyright © Cengage Learning. All rights reserved 36 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 Return to TOC Copyright © Cengage Learning. All rights reserved 37 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 RBE = = radiation absorbed dose relative effectiveness of the radiation in causing biologic damage Return to TOC Copyright © Cengage Learning. All rights reserved 38 Section 19.7 Effects of Radiation Effects of Short-Term Exposures to Radiation Return to TOC Copyright © Cengage Learning. All rights reserved 39