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Radioactive Decay

Table of Contents

Introduction
Radioactive Decay Problems
Radioactive Decay Answers

     

   

Introduction

Radioisotopes spontaneously change the number of protons, and/or number of neutrons, or spontaneously release energy. They may be naturally occurring or man made.

Natural Radioisotopes Carbon-14, Potassium-38, Uranium-235, Uranium-238, and Radon-222

Alpha Decay The nucleus ejects a particle that contains 2 protons and 2 neutrons. The mass number decreases by 4 and the atomic number decreases by 2.

    ---->      +  

    

Beta Decay n ---> p + e- The neutron changes into a proton and an electron. The e- is the beta particle - a high speed, high energy particle that leaves the nucleus. The mass number stays the same and the atomic number increases by one.

     --->    +    

   

Gamma Radiation This type of decay follows an earlier nuclear reaction. Although the number of protons, neutrons, and electrons stays the same; there is a very small decrease in the mass of each particle. This mass is converted into energy in the form of gamma rays.
   
       --->     +  

    

Positron Decay p ---> n + e+ The proton changes into a neutron and a positron. The positron particle is the anti-particle of the electron. When it hits an electron, they are both annihilated releasing a characteristic amount of energy as photons. The mass number stays the same and the atomic number decreases by one.

      --->    +  

    

Electron Capture p + e- ---> n An electron falls into the nucleus and combines with a proton to form a neutron. The electron must lose energy in the process. It has the same effect as positron decay although the process is different. The mass number stays the same and the atomic number decreases by one.

         +    --->   

    

      

  Conserve Mass Number & Atomic Number

  Mass of Numbers Reactants = Mass of Numbers Products    

Atomic Numbers Reactants = Atomic Number Products
     

   

Finding the Product Process

1. Find the Mass Number and Atomic Number of the beginning isotope.
   
2. Use the type of decay to place the appropriate particle in the equation.
    
3. Find the Total of Mass Numbers present on the Reactant Side, left side, and the Product Side, right side.
   
4. Calculate the missing Mass Number and place it on the appropriate side to Conserve Mass Number.
    
5. Find the Total Atomic Numbers present of the Reactant Side and the Product Side.
   
6. Calculate the missing Atomic Number and place it on the appropriate side to Conserve Atomic Number.
    
7. Look up the Atomic Number on the Periodic Chart to determine the element.

Uranium-238 decay

  --->  +  _____

Sum Mass Number Reactants = 238                            Sum Mass Number Products = 4 + ____

Sum Atomic Number Reactants = 92                            Sum Atomic Number Products = 2 + ___

Missing particle must have a Mass Number of 234 and an Atomic Number of 90. The Atomic Number identifies the element to be thorium.

  ---> 

Process to Determine Type of Decay

1. Find the Mass Number and Atomic Number of the beginning isotope and ending isotope.
     
2. Find the Total of Mass Numbers present on the Reactant Side, left side, and the Product Side, right side.
   
3. Calculate the missing Mass Number and place it on the appropriate side to Conserve Mass Number.
    
4. Find the Total Atomic Numbers present of the Reactant Side and the Product Side.
   
5. Calculate the missing Atomic Number and place it on the appropriate side to Conserve Atomic Number.
    
6. There are only four possible particles:  , , , and .  Only can be on the reactant side.
   
7. alpha decay is on the product side.
    
beta decay is on the product side
      
gamma radiation is on the product side
    
positron decay 
         or
electron capture
is on the reactant side or on the product side both work.  You cannot tell which has occurred without additional information.

Table of Contents

    

    

Radioactive Decay Problems

1. Find the products of the following decays:
   

a.

praseodymium-134 ---> 

e.

gadolinium-146 ---> electron capture

b.

rubidium-106 --->

f.

actinium-224 --->

c.

protactinium-228 --->

g.

mercury-193 --->

d.

radium-226 --->

h.

tin-121 --->

   

2. Determine the type of decay of the following:
   
a.

palladium-111 --->  silver-111

b.

erbium-165 --->  holmium-165

c.

americium-243 ---> neptunium-239

d.

tungsten-187 ---> tungsten-187

e.

tantalum-178 --->  hafnium-178

f.

actinium-223 ---> francium-219

g.

lead-214 ---> bismuth-214

h.

cadmium-105 --->  silver-105

Table of Contents

   

   

Radioactive Decay Answers

1. Find the products of the following decays:
   

a.

praseodymium-134 ---> 

Positron Decay Finding the Product Process

Conserve Mass Number & Atomic Number

       

b.

rubidium-106 --->

Beta Decay Finding the Product Process

Conserve Mass Number & Atomic Number

       

c.

protactinium-228 --->

Alpha Decay Finding the Product Process

Conserve Mass Number & Atomic Number

       

d.

radium-226 --->

Gamma Radiation Finding the Product Process

Conserve Mass Number & Atomic Number

       

e.

gadolinium-146 ---> electron capture

Electron Capture Finding the Product Process

Conserve Mass Number & Atomic Number

       

f.

actinium-224 --->

Alpha Decay Finding the Product Process

Conserve Mass Number & Atomic Number

       

g.

mercury-193 --->

Positron Decay Finding the Product Process

Conserve Mass Number & Atomic Number

       

h.

tin-121 --->

Beta Decay Finding the Product Process

Conserve Mass Number & Atomic Number

        
2. Determine the type of decay of the following:
   
a.

palladium-111 --->  silver-111

Beta Decay Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
b.

erbium-165 --->  holmium-165

Positron Decay or
Electron Capture
Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
c.

americium-243 ---> neptunium-239

Alpha Decay Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
d.

tungsten-187 ---> tungsten-187

Gamma Radiation Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
e.

tantalum-178 --->  hafnium-178

Positron Decay or
Electron Capture
Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
f.

actinium-223 ---> francium-219

Alpha Decay Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
g.

lead-214 ---> bismuth-214

Beta Decay Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

   
h.

cadmium-105 --->  silver-105

Positron Decay or
Electron Capture
Process to Determine Type of Decay

Conserve Mass Number & Atomic Number

Table of Contents