Title: Nuclear Reactions
1Nuclear Reactions
2CS 4.4
State that in fission a nucleus of large mass
splits into 2 nuclei of smaller mass numbers,
usually with the release of neutrons.
CS 4.5
State that fission may be spontaneous or induced
by neutron bombardment.
3CS 4.6
State that in fusion, 2 nuclei combine to form a
nucleus of larger mass number.
CS 4.7
Explain, using E mc2, how the products of
fission and fusion acquire large amounts of
kinetic energy.
CS 4.8
Carry out calculations using E mc2 for fission
and fusion reactions.
4Fission
When atoms are bombarded with neutrons, their
nuclei splits into 2 parts which are roughly
equal in size.
Nuclear fission in the process whereby a nucleus,
with a high mass number, splits into 2 nuclei
which have roughly equal smaller mass numbers.
During nuclear fission, neutrons are released.
5Nuclear Fission
There are 2 types of fission that exist
1. Spontaneous Fission
2. Induced Fission
6Spontaneous Fission
Some radioisotopes contain nuclei which are
highly unstable and decay spontaneously by
splitting into 2 smaller nuclei.
Such spontaneous decays are accompanied by the
release of neutrons.
7Induced Fission
Nuclear fission can be induced by bombarding
atoms with neutrons.
The nuclei of the atoms then split into 2 equal
parts.
Induced fission decays are also accompanied by
the release of neutrons.
8The Fission Process
A neutron travels at high speed towards a
uranium-235 nucleus.
9The Fission Process
A neutron travels at high speed towards a
uranium-235 nucleus.
10The Fission Process
A neutron travels at high speed towards a
uranium-235 nucleus.
11The Fission Process
The neutron strikes the nucleus which then
captures the neutron.
12The Fission Process
The nucleus changes from being uranium-235 to
uranium-236 as it has captured a neutron.
13The Fission Process
The uranium-236 nucleus formed is very unstable.
It transforms into an elongated shape for a short
time.
14The Fission Process
The uranium-236 nucleus formed is very unstable.
It transforms into an elongated shape for a short
time.
15The Fission Process
The uranium-236 nucleus formed is very unstable.
It transforms into an elongated shape for a short
time.
16The Fission Process
It then splits into 2 fission fragments and
releases neutrons.
17The Fission Process
It then splits into 2 fission fragments and
releases neutrons.
18The Fission Process
It then splits into 2 fission fragments and
releases neutrons.
19The Fission Process
It then splits into 2 fission fragments and
releases neutrons.
20Nuclear Fission Examples
21Energy from Fission
Both the fission fragments and neutrons travel at
high speed.
The kinetic energy of the products of fission are
far greater than that of the bombarding neutron
and target atom.
EK before fission ltlt EK after fission
Energy is being released as a result of the
fission reaction.
22Energy from Fission
Element Atomic Mass (kg)
23592U 3.9014 x 10-25
13855Cs 2.2895 x 10-25
9637Rb 1.5925 x 10-25
10n 1.6750 x 10-27
23Energy from Fission
Calculate the total mass before and after fission
takes place.
The total mass before fission (LHS of the
equation)
3.9014 x 10-25 1.6750 x 10-27 3.91815 x 10-25
kg
The total mass after fission (RHS of the
equation)
2.2895 x 10-25 1.5925 x 10-25 (2 x 1.6750 x
10-27) 3.9155 x 10-25 kg
24Energy from Fission
The total mass before fission
3.91815 x 10-25 kg
3.91550 x 10-25 kg
The total mass after fission
total mass before fission gt total mass after
fission
25Energy from Fission
mass difference, m total mass before fission
total mass after fission
m 3.91815 x 10-25 3.91550 x 10-25
m 2.65 x 10-28 kg
This reduction in mass results in the release of
energy.
26Energy Released
The energy released can be calculated using the
equation
E mc2
Where
E energy released (J)
m mass difference (kg)
c speed of light in a vacuum (3 x 108 ms-1)
27Energy from Fission
Calculate the energy released from the following
fission reaction
m 2.65 x 10-28 kg
E mc2
E 2.65 x 10-28 x (3 x 108)2
c 3 x 108 ms-1
E 2.385 x 10-11 J
E E
28Energy from Fission
The energy released from this fission reaction
does not seem a lot.
This is because it is produced from the fission
of a single nucleus.
Large amounts of energy are released when a large
number of nuclei undergo fission reactions.
29Energy from Fission
Each uranium-235 atom has a mass of 3.9014 x
10-25 kg.
The total number of atoms in 1 kg of uranium-235
can be found as follows
No. of atoms in 1 kg of uranium-235 1/3.9014 x
10-25
No. of atoms in 1 kg of uranium-235 2.56 x 1024
atoms
30Energy from Fission
If one uranium-235 atom undergoes a fission
reaction and releases 2.385 x 10-11 J of energy,
then the amount of energy released by 1 kg of
uranium-235 can be calculated as follows
total energy energy per fission x number of
atoms
total energy 2.385 x 10-11 x 2.56 x 1024
total energy 6.1056 x 1013 J
31Nuclear Fusion
In nuclear fusion, two nuclei with low mass
numbers combine to produce a single nucleus with
a higher mass number.
32The Fusion Process
33The Fusion Process
34The Fusion Process
35The Fusion Process
36The Fusion Process
37The Fusion Process
38The Fusion Process
39The Fusion Process
40The Fusion Process
ENERGY
41The Fusion Process
ENERGY
42The Fusion Process
ENERGY
43The Fusion Process
ENERGY
44Energy from Fusion
Element Atomic Mass (kg)
21H 3.345 x 10-27
31H 5.008 x 10-27
42He 6.647 x 10-27
10n 1.6750 x 10-27
45Energy from Fusion
Calculate the following
- The energy released per fusion.
46Energy from Fusion
The total mass before fusion (LHS of the
equation)
3.345 x 10-27 5.008 x 10-27 8.353 x 10-27 kg
The total mass after fission (RHS of the
equation)
6.647 x 10-27 1.675 x 10-27 8.322 x 10-27 kg
47Energy from Fusion
m total mass before fission total mass after
fission
m 8.353 x 10-27 8.322 x 10-27
m 3.1 x 10-29 kg
48Energy from Fusion
m 3.1 x 10-29 kg
E mc2
E 3.1 x 10-29 x (3 x 108)2
c 3 x 108 ms-1
E 2.79 x 10-12 J
E E
The energy released per fusion is 2.79 x 10-12 J.