Chapter 24. Nuclear Reactions and Their Applications 24.1Radioactive Decay and Nuclear Stability o Chemical vs. Nuclear Change o Components of the Nucleus o Types of Radioactive Emissions o Modes of Radioactive Decay; Nuclear Equations o Nuclear Stability and Mode of Decay 24.2The Kinetics of Radioactive Decay o Detection and Measurement of Radioactivity o Rate of Radioactive Decay o Radioisotopic Dating 24.3Nuclear Transmutation: Induced Changes in Nuclei o Early Transmutation Experiments; Nuclear Shorthand Notation o Particle Accelerators 24.4Ionization: Effects of Nuclear Radiation on Matter o Effects of Ionizing Radiation on Living Tissue o Background Sources of Ionizing Radiation o Assessing the Risk from Ionizing Radiation 24.5Applications of Radioisotopes o Radioactive Tracers o Additional Applications of Ionizing Radiation 24.6The Interconversion of Mass and Energy o Mass Difference Between a Nucleus and Its Nucleons o Nuclear Binding Energy and Binding Energy per Nucleon 24.7Applications of Fission and Fusion o Nuclear Fission o Nuclear Fusion Concepts and Skills to Review Before You Study This Chapter 1. discovery of the atomic nucleus (Section 2.4) 2. protons, neutrons, mass number, and the 3. half-life and first-order reaction rate (Section 16.4) For 1st order reactions : Rate = k [R] (A=kN) Rate of decay : notation (Section 2.5) ln[R]t = -kt + ln[R]o half life = 0.693 / k Becquerel = Bq = 1 disintegration / sec Curie = 1 Ci =3.7x1010 Bq Radiation units : Gray = 1Gy = 1J/kg = 100 Rad (Radiation Absorbed Dose) Sievert = 1 Sv = 1Gy x QF (quality factor) = 100 Rem (Roentgen Equivalent Man) QF : 1 for electrons, positrons, x-rays, 3 to 10 for neutrons, protons, 20 for alpha 1 eV = 1V x 1.602 176 53 × 10−19 C = 1.602 176 53 × 10−19 J 1 amu = 931.5 x 106 eV = 931.5 MeV 1. Write the equation a) b) alpha decay of ? c) electron capture by the nucleus? d) nuclear transmutation, 2. The isotope has a half-life of 21 hours. If a sample initially contains exactly 10000 atoms of approximately how many of these atoms will remain after one week? 3. A 7.85 × 10-5 mol sample of copper-61 emits 1.47 × 1019 positrons in 90.0 minutes. What is the decay constant for copper-61? 4. Palladium-107 undergoes β decay (t1/2 = 6.5 × 105 yr) to form silver-107. How long will it take for 0.150 mol of silver-107 to form from 1.25 mol of palladium-107? 5. The molar nuclear mass of C-14 is 14.003241 g/mol. The molar mass of a proton is 1.007825 g/mol. The molar mass of a neutron is 1.008665 g/mol. Calculate the binding energy (in J/mol) of C-14. , 6. A certain isotope has a specific activity of 7.29 × 10-4 Ci/g. How many alpha particles will a 75.0 mg sample emit in one hour?