radioactivity - wikispacesmrcschroeder.wikispaces.com/file/view/4.5-radioactivity.pdfsurface back to...
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CBC archives - radioactivity
• In 1896, Henri Bequerel discovered that
uranium and other elements emitted
invisible rays that can penetrate solid
material. These materials are now called
“radioactive”
• The most common unit for
radiation is counts per second
(known as a Becquerel, Bq)
Radioactivity: the process by which
atoms emit energy in the form of
electromagnetic waves, charged
particles, or uncharged particles.
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• Exposure to radiation is unavoidable because radioactive
elements occur in nature.
- some forms of carbon and potassium are absorbed
by your body are radiactive.
C 600 Bq/kg of body mass
K 110 Bq/kg “ “ “
Alps Iceman: 5,300 years old
Natural Sources
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-Cosmic rays: high energy
radiation coming from space.
- higher exposure than
normal when flying at high
altitudes
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- Radioactive uranium and radium are found in soil and
rocks. When they disintegrate, the produce another
radioactive atom: radon gas.
Uranium
deposits
around the
world
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• Nuclear power
- Electricity
- Submarines
- Space probes
February 1, 2005—The U.S. Navy released this
photograph last Thursday of the nuclear submarine
San Francisco, which crashed headlong into an
uncharted undersea mountain near Guam on
January 8. Standing more than three stories high
and with classified technology veiled by a tarp, the
fast-attack submarine is shown awaiting repairs in a
Guam dry dock.
The impact shredded the submarine's nose, killed
one sailor, and injured 60 more. The sailors were
largely protected by the vessel's reinforced inner
hull, which did not rupture. After the wreck, the crew
quickly ascended and sailed along the ocean's
surface back to their base in Guam.
Artificial Sources
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The Cassini space probe is powered by energy released
from 28.8 g of radioactive Pu. The radiation is absorbed by
ceramic surronding the Pu and the heat is converted ot
electricity. Each Kg of Pu emits 556 J each second.
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• There is a lot of
radiation released
inside nuclear
reactors and by the
spent fuel (but still
less than is emitted
by x-ray machines)
• Some coal-fired power
plants emit more
radioactivity than
nuclear plants (uranium
in coal ash)
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- Nuclear bombs
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-Medical applications:
- X-rays are used for
diagnosis
- Cancer treatment
In medicine: we
use a unit called
Sieverts
(10 Sv is a lethal
dose for most
tissues)
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- Ionizing radiation carries energy values on the order of
1000’s of eV.
- Typical chemical bonds can be broken by radiation energy
of 5 or less eV.
Effects of Radiation
- Cells do have repair
mechanisms, but they
are not perfect and they
can be overwhelmed.
- Large particle radiation
(such as α particles) can
do more damage per unit
of energy.
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2) Cell survives:
Damage is
passed on to
daughter cells in
the form of
mutations (some
mutations can
lead to cancer).
• Cells undergoing
division are more
susceptible to
damage
Effects of Cell Damage:
1) Cell dies: organelles or
enzymes can no longer
function
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Radiation Strength
Depends on three factors:
1) The kind of particles/EMR emitted
2) Amount of radioactive material present
3) The rate at which atoms disintegrate to emit
radiation (1 count/second = 1Bq) – depends on
the isotope.
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Which elements are these?
(protons are shown in red
and neutrons in white.)
They are both carbon. Both have 6 protons. i.e. they
both have an atomic number of 6.
These are two isotopes (varieties) of carbon.
- same chemical properties, but different physical properties
(e.g. how they behaving in nuclear reactions)
- different number of neutrons, therefore different atomic
masses
Structure of the Nucleus - Review
In nuclear physics, we often call atoms nuclides. The contents of
the nucleus are called nucleons. In many situations, the mass of
a nucleon is given as u (an atomic mass unit – value is given on
formula sheet: 1.66 x 10-27 kg).
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C14
6C12
6
Mass number = 12
p+ = 6
n0 = 6
Mass number = 14
p+ = 6
n0 = 8
Mass number = #p+ + #no
Carbon-12 Carbon-14
Atomic number = #p+ C12
6
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ISOTOPES NAME SYMBOL
hydrogen-1 H1
1
hydrogen-2
(deuterium) H2
1
hydrogen-3
(tritium) H3
1
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ISOTOPES NAME SYMBOL
lithium-6 Li6
3
lithium-7 Li7
3
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The Strong Nuclear Force
• Using
accelerators,
scientists have
discovered the
forces that hold
nuclei together
The big circle marks the location of the Large Hadron Collider
(LHC) at the European particle physics laboratory in CERN. The
tunnel where the particles are accelerated is located 100 m (320
ft) underground and is 27 km (16.7 mi) in circumference. The
smaller circle is the site of the smaller proton-antiproton
collider. The border of France and Switzerland bisects the
CERN site and the two accelerator rings.
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• Nuclear forces act over very small ranges. (3 x 10-15 m)
• Over 100 times greater than the electrostatic force.
• The strong nuclear force is independent of the charge
• The attraction is the same between:
p+ - p+
n0 - n0
n0 – p+
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Unstable (Radioactive) Nulcides
• Unstable nuclides tend to disintegrate causing:
A different nuclide is to be produced
Energy to be released as radiation
• Unstable nuclides have too few neutrons in relation to the
number of protons.
In general, the more protons in a nucleus, the more
neutrons that are required to overcome the electrostatic
repulsion.
• All elements with atomic numbers greater than 82 exist
only as unstable nuclides.
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Types of Radiation
• Rutherford discovered
three types of radiation
• Also discovered that
elements transform into
different elements
during the process
(called transmutation).
• The original element is called the
parent nuclide. The newly formed
element is called the daughter nuclide.
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Alpha Decay
• Alpha particles (α) are helium- 4
• They are ejected at high speeds
but can be stopped by aluminum
foil
) as written be could(or He Po Rn 42
21884
22286
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i.e. The sum of the mass numbers on both sides of the
arrow must be equal and the sum of the atomic numbers
on both sides of the arrow must be equal
For all nuclear reactions: NUCLEONS AND CHARGE ARE
CONSERVED
He Po Rn 42
21884
22286
222 nucleons 222 nucleons
charge = +86 charge = +86
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Beta Decay
) : writtenbe also(can e Pa Th 0-1
22891
22890
• A neutron decays into a
proton and an electron.
• The electron is ejected
from the nucleus at a high
speed – called a beta
particle (β).
• β particles can penetrate
several mm of lead.
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e Pa Th 0-1
22891
22890
228 nucleons 228 nucleons
charge = +90 charge = +90
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Gamma Decay • Gamma rays can be
emitted along with an
alpha or beta particle.
• When a nucleus emits
only a gamma (γ) ray,
the energy of the
nucleus is reduced but
the mass number and
the atomic numbers stay
the same.
• γ rays can penetrate
many cm of lead.
Co *Co 6027
6027
exited unexcited
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• Often, the same nuclide can undergo different decay modes…
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Decay Series … or go through a series of decays.
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____4
2
210
83 HeBi
Nuclear charge: 83 – 2 = 81 81
According to my periodic table, that must be
Example 1: Complete the balance equation:
Nucleons: 210 – 4 = 206 206 TI
What type of radiation
is this?
Alpha Decay
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____eU
0
1
237
92
Example 2: Complete the balanced equation and identify the
radiation type.
Neptunium-237
Beta Decay
Np237
93
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Other Decay Modes
• Some radionuclides can transmutate by capturing an
electron from the lowest energy level.
A proton is converted into a neutron
4119
01
4120
neutrinoK e Ca
eIn Sn 0
1
11149
11150
• Positron emission: (same mass as an electron, but a
positive charge)
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Fission and Fusion
• The reaction used in all of the world’s nuclear power
plants. The fuel is usually uranium, put plutonium can
also be used.
Nuclear Fission
Fission Animation
More animations
• Can be used in nuclear
bombs.
Involves “splitting” an atom
into smaller nuclides.
• Initiated by a slow moving
neutron.
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Example 3: Predict the missing fission product.
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Nuclear Fission Chain Reaction
• The emitted neutrons
strike more uranium
atoms, causing them to
undergo fission.
• This reaction is very
hard to control.
http://www.space
kid.net/nuclear/fis
sion.html
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Canada’s CANDU Reactor
• Canadian Deuterium
Uranium Reactor
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Nuclear Fusion • The process that
made the atoms that
make you.
• Two nuclide with
extremely high energy
collide to form a
bigger nuclide.
animation
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Example 3: Predict the missing reactant.
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Nuclear fusion as an energy source
on earth is still experimental
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• A sample of radioactive material consists of vast number
of nuclei that don’t all decay simultaneously.
• We can’t predict when a single nucleus will decay (it is
governed only by probability)
• The decay from parent nuclide to daughter nuclide
follows a characteristic decay curve.
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Radioactive Decay Curve
Radio
activity
100%
50%
25%
12
.5%
Time
• Rutherford noticed that the radioactivity of
a sample of radon gas was reduced by half
every ~1 minute.
•This called the half-life of the isotope.
half-lives can vary from 10-22s to 1028
s, depending on the isotope.
• Half-lives are always a uniform
interval of time for a
particular isotope.
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• More examples of half-lives:
- Polonium-214 ---1.6 x 10-4 s
- Carbon-14 --------5730 years
• If you have 10 g of
carbon-14 when an
organism dies, after
5730 years, you’ll have
5 g. After another 5730
years, you’ll have 2.5g.
• The age of a material
can be determined
using radioactive
dating
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• An equation that describes half-life
n
NN
2
10
Amount or
mass of the
parent nuclide
remaining
Original
amount of
parent
nuclide
Number of
half-lives
that have
passed
lifehalf
elapsedtimen
_
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Example 1:
If a 2.00 g sample of strontium-90 is
produced in a reactor, how much will
remain after 10.0 years have passed.
(The half-life of Sr-90 is 29.1 years.) Effect of Strontium-90 on
Squamous Cell Carcinoma in an
Eastern Box Turtle (Terrapene
carolina); Discussion of
Alternative Treatment Modalities
Cheryl B. Greenacre, DVM, Dipl.
ABVP - Avian and Royce Roberts,
DVM, MS, Dipl. ACVR
1.58 g
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Example 2:
A baby mammoth
found frozen in a
glacier is found to
contain one quarter of
its original carbon-14.
Determine its age if the
half life for the
radioactive decay of
carbon-14 is 5.73 x 103
years.
1.15 x 104 years
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Extension example:
A pregnant ichthyosaur
fossil is located just below
a volcanic ash layer
containing a ratio of
uranium-235 to lead-207
of 4:1. Determine the
minimum age of the fossil
in years. (The half-life of
U-235 is 7.13 x 108 a)
230 million years
0
1
2
n
N N
0
1
2
nN
N
0
1log log
2
Nn
N
0log log
1log
2
N Nn
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• The mass of a nucleus is always less
than the mass of all the separate
nucleons (protons and neutrons)
• This difference in mass is called the
mass defect
• Energy is required to make a nucleus
(called the binding energy)
The binding energy
is related to the
mass defect by the
equation E = mc2
E =
mc
2
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Example 1
Determine the mass defect of an alpha particle.
alpha particle mass (2 protons, 2 neutrons) = 6.65 x 10-27kg
massprotons =2(1.67 x 10-27kg) = 3.34 x 10-27 kg
massneutrons = 2(1.67 x 10-27kg) = 3.34 x 10-27 kg
total mass of separate nucleons = 6.68 x 10-27 kg
mass defect = - = 0.03 x 10-27kg
• In nuclear reactions, mass is converted to energy or
energy is converted to mass E = mc2
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Example 2:
Calculate the energy produced in the reaction
Mass defect = 8.35002x10-27 kg – 8.3212x10-27 kg
= 2.882 x 10-29 kg
mass2H = 3.34341 x 10-27 kg
mass3H = 5.00661 x 10-27 kg
masstotal = 8.35002 x 10-27 kg
massα = 6.6463 x 10-27 kg
massn = 1.6749 x 10-27 kg
masstotal = 8.3212 x 10-27 kg
E = mc2
E = (2.882 x 10-29 kg)(3.00 x 108 m/s)2
E = 2.59 x 10-12 J
2.882 x 10-29 kg
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In oil and coal power
plants, 1 kg of fuel
produces about 4 MJ of
heat
CANDU CANDON’T
In a CANDU reactor, 1 kg
of fuel (natural uranium)
produces 3.4 x 105 MJ of
heat that is converted to
electricity.
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• Energy may create matter through the process called pair
production. The process must produce 2 particles whose
total charge is zero, since charge must be conserved. Pair
production requires a very high energy photon.
• A particle and its antiparticle (antimatter) are often
produced. Example: an electron and anti-electron (positron)
have the same mass, but opposite signs.
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Example 3:
A 8.50 x 1020 Hz photon produces an electron and an anti-
electron. Determine the total kinetic energy of the particles.
Law of Conservation of Energy:
Photon energy = energy to make 2 particles + Ek
Ephoton = Eelectron + Eantielectron + Ek
hf = mc2 + mc2 + Ek
hf = 2(mc2) + Ek
Ek = hf – 2(mc2)
Ek = (6.63 x 10-34 J•s)(8.50 x 1020 Hz) – 2(9.11 x 10-31kg)(3.00 x 108 m/s)2
Ek = 4.00 x 10-13 J