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Chapter: 11th 12th std standard Class Physics sciense Higher secondary school College Notes

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Energy released in Nuclear fission

Energy released in Nuclear fission
In 1939, German scientists Otto Hahn and F. Strassman discovered that when uranium nucleus is bombarded with a neutron, it breaks up into two fragments of comparable masses with the release of energy.

Nuclear fission

 

In 1939, German scientists Otto Hahn and F. Strassman discovered that when uranium nucleus is bombarded with a neutron, it breaks up into two fragments of comparable masses with the release of energy.

 

The process of breaking up of the nucleus of a heavier atom into two fragments with the release of large amount of energy is called nuclear fission. The fission is accompanied of the release of neutrons. The fission reactions with 92U235 are represented as

92U235 + 0n156Ba141 + 36Kr92 + 3 0n1 + Q  . (1)

92U235 + 0n154Xe140 + 38Sr94 + 2 0n1 + Q ...(2)

In the above examples the fission reaction is taking place with the release of 3 neutrons and 2 neutrons. On an average 2.5 neutrons per fission are actually released. Of the many possible fission reactions of 92U235, the reaction given in equation (1) is the most favourable.

 

Energy released in fission

 

Let  us  calculate  the  amount  of  energy  released  during  the  fission of 92U235 with a neutron. The fission reaction is

92U235 + 0n156Ba141 + 36Kr92 + 30n1 + Q

Mass of  92U235 = 235.045733 amu

Mass of 0n1 = 1.008665 amu

Total mass of the reactant = 236.054398 amu

Mass of 56Ba141 = 140.9177 amu

Mass of 36Kr92 = 91.8854 amu

Mass of 3 neutrons = 3.025995 amu

(3 1.008665)

Total mass of the products = 235.829095 amu

Mass defect = 236.054398 - 235.829095 = 0.225303 amu

As, 1 amu = 931 MeV, energy released in a fission =

0.225303 931 =  200 MeV

Niels Bohr and John A. Wheeler explained the nuclear fission process with the help of liquid drop model. A liquid drop has a spherical shape due to surface tension. On applying external force the sphere changes into ellipsoid, which may change into a dumb bell shape when the force is larger. This may break at the narrow end into two portions.


In the same way, when the heavier nucleus absorbs a neutron, a compound nucleus is formed and is left in an excited state. The excitation energy sets up a series of rapid oscillations. The compound nucleus undergoes distortion from spherical to dumb bell shape. Each portion of the dumb bell has a positive charge and one repels the other. This results in fission and the formation of fission fragments (Fig).

 

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