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: Radium-226, which undergoes alpha decay, has a half-life of 1600 yr.How many alpha particles are emitted in 5.00 min by a 10.0 mg sample of 226Ra?

Solution: Radium-226, which undergoes alpha decay, has a half-life of 1600 yr.How many alpha particles are emitted in 5.00 min by a 10.0 mg sample of 226Ra?

Problem

Radium-226, which undergoes alpha decay, has a half-life of 1600 yr.

How many alpha particles are emitted in 5.00 min by a 10.0 mg sample of 226Ra?

Solution

We’re being asked to determine how many alpha particles are emitted in 5.00 min by a 10.0 mg sample of 226Ra


Step 1. Calculate the decay constant. 

Recall that half-life is the time needed for the amount of a reactant to decrease by 50% or one-half


The half-life of a first-order reaction is given by:


t12 = ln 2k


where:

t1/2 = half-life

k = decay constant


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