Textbook Question
Calculate the binding energy (in MeV/nucleon) for the following nuclei. (a)58Ni (atomic mass = 57.93535)
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Ch.20 - Nuclear Chemistry
McMurry8th EditionChemistryISBN: 9781292336145
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Table of contents
- Ch.1 - Chemical Tools: Experimentation & Measurement143
- Ch.2 - Atoms, Molecules & Ions134
- Ch.3 - Mass Relationships in Chemical Reactions149
- Ch.4 - Reactions in Aqueous Solution157
- Ch.5 - Periodicity & Electronic Structure of Atoms92
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory73
- Ch.7 - Covalent Bonding and Electron-Dot Structures47
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure51
- Ch.9 - Thermochemistry: Chemical Energy104
- Ch.10 - Gases: Their Properties & Behavior138
- Ch.11 - Liquids & Phase Changes43
- Ch.12 - Solids and Solid-State Materials56
- Ch.13 - Solutions & Their Properties98
- Ch.14 - Chemical Kinetics79
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Aqueous Equilibria: Acids & Bases94
- Ch.17 - Applications of Aqueous Equilibria125
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium66
- Ch.19 - Electrochemistry130
- Ch.20 - Nuclear Chemistry73
- Ch.21 - Transition Elements and Coordination Chemistry122
- Ch.22 - The Main Group Elements155
- Ch.23 - Organic and Biological Chemistry43
Chapter 20, Problem 82
What is the energy change ∆E (in kJ/mol) when an a particle is emitted from 174Ir? The atomic mass of 174Ir is 173.96666 the atomic mass of 170Re is 169.95804, and the atomic mass of a 4He atom is 4.00260.
Verified step by step guidance1
Identify the initial and final products in the nuclear reaction. In this case, the initial product is 174Ir and the final products are 170Re and a 4He particle.
Write down the given atomic masses: Atomic mass of 174Ir = 173.96666 u, Atomic mass of 170Re = 169.95804 u, Atomic mass of 4He = 4.00260 u.
Calculate the total mass of the products by adding the atomic mass of 170Re and the atomic mass of 4He.
Subtract the total mass of the products from the atomic mass of the initial reactant (174Ir) to find the mass defect (∆m).
Convert the mass defect from atomic mass units to energy (in kJ/mol) using the conversion factor derived from Einstein's equation E=mc^2, where c is the speed of light. Remember to convert atomic mass units to kg and then multiply by Avogadro's number to convert to moles.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Nuclear Reactions
Nuclear reactions involve changes in an atom's nucleus, leading to the emission of particles such as alpha particles (4He). In this context, the emission of an alpha particle from 174Ir transforms it into a different element, 170Re, and is a key process in understanding the energy changes associated with radioactive decay.
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Mass-Energy Equivalence
Mass-energy equivalence, expressed by Einstein's equation E=mc², indicates that mass can be converted into energy. In nuclear reactions, the difference in mass before and after the reaction (mass defect) is converted into energy, which can be calculated to find the energy change (∆E) associated with the emission of particles.
Binding Energy
Binding energy is the energy required to disassemble a nucleus into its constituent protons and neutrons. It is crucial for calculating the energy change during nuclear reactions, as the binding energy of the products and reactants determines the overall energy released or absorbed when particles are emitted or absorbed.
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Related Practice
Textbook Question
The radioactive isotope 100Tc decays to form the stable iso-tope 100Mo. (a) There are two possible pathways for this decay. Write balanced equations for both.
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Textbook Question
Calculate the mass defect (in g/mol) and the binding energy (in MeV/nucleon) for the following nuclei. Which of the two is more stable? (a) 50Cr (atomic mass = 49.94605)(b) 64Zn (atomic mass = 63.92915)
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Textbook Question
Calculate the binding energy (in MeV/nucleon) for the following nuclei. (b) 84Kr (atomic mass = 83.91151)
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