Ch.19 - Nuclear ChemistryWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: The half-life of a radioactive isotope is the amount of time it takes for a quantity of that isotope to decay to one half of its original value. (a) The half-life of radiocarbon or Carbon 14 (C-14) is

Solution: The half-life of a radioactive isotope is the amount of time it takes for a quantity of that isotope to decay to one half of its original value. (a) The half-life of radiocarbon or Carbon 14 (C-14) is

Problem

The half-life of a radioactive isotope is the amount of time it takes for a quantity of that isotope to decay to one half of its original value. 

(a) The half-life of radiocarbon or Carbon 14 (C-14) is 5230 years. Determine its decay rate parameter. 

Carbon dating is a method of determining the age of an object using the properties of radiocarbon. It was pioneered by Willard Libby and collaborators in 1949 to date archaeological, geological, and other samples. Its main idea is that by measuring the amount of radiocarbon still found in the organic matter and comparing it to the amount normally found in living matter, we can approximate the amount of time since death occurred. 

(b) Using the decay-rate parameter found in part (a), find the time since death if 35% of radiocarbon is still in the sample.

Solution

We are asked to determine the decay rate parameter of Carbon 14 (C-14) with a half-life of 5230 years and the time since death if 35% of radiocarbon that is still in the sample, using the decay rate parameter.


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