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Chapter 29: Nuclear Physics

29.C: Nuclear Reactions

Nuclear Fission
The type of nuclear reaction in which a large nucleus splits into smaller nuclei.
Nuclear Fusion
The type of nuclear reaction in which two or more small nuclei merge to form a larger nucleus.
Chain Reaction
A self-sustaining series of reactions in which the neutrons produced in one reaction trigger additional reactions.
Critical Mass
The quantity of material that contains the necessary concentration of nuclei for a chain reaction.

Energy from Nuclear Reactions

  • When nuclear changes occur, there is a slight mass difference between the reactant nuclei and the product nuclei (mass defect).
  • The mass difference represents the difference in binding energies of the reactants and products.

Fission Reactions

  • Some materials undergo fission when they are bombarded by a neutron.
  • The neutron produces a very unstable isotope, which then splits.

Example: Writing Nuclear Equations

Determine the missing product by completing the following nuclear equation:

23592U + 10n → 14254Xe + 9038Sr + 4 10n

235 + 1 = A + 90 + 4(1)

92 = Z + 38

A = 142

Z = 54

The missing product is 14254Xe.

Example: Calculating Energy Released

If the mass of uranium-235 is 235.043 929 9 u and the products have masses of 140.914 411 9 u (Ba) and 91.926 156 1 u (Kr), what is (a) the mass defect and (b) the energy released?

The mass of a neutron is 1.008 664 9 u. A mass of 1 u has an energy equivalence of 931.5 MeV.

Δm = Σmreactants - Σmproducts

Δm = (mU + mn) - (mKr + mBa + 3mn)

Δm = (235.043 929 9 u + 1.008 664 9 u) - [(91.926 156 1 u + 140.914 411 9 u + 3(1.008 664 9 u)]

Δm = 0.186 032 1 u

Energy released: 0.186 032 1 u × 931.5 MeV/u = 173.2889 MeV

Chain Reactions

  • A self-sustaining series of reactions in which the neutrons produced in one reaction trigger additional reactions.
  • A condition in which the rate of fissions is constant is said to be a critical process.
  • A situation in which the rate of fission is increasing is called supercritical.
  • A reaction is subcritical if the rate of fission is decreasing.

Uses of Nuclear Fission

  • Nuclear power plants
  • Nuclear weapons

Nuclear Power Reactors

  • Uranium-235 concentration is increased through a process called enrichment.
  • The neutrons are “slowed down” with a moderator (usually water).
  • A critical chain reaction must be established, so control rods are used to adjust the rate of the reactions.

Fission Bombs

  • An uncontrolled fission reaction occurs using nearly pure U-235 or Pu-239.
  • The fissile material is separated into two or more subcritical masses.
  • The masses are forced together, and immense amounts of energy are released.

Fusion Reactions

  • In the sun, a multi-step process begins with four hydrogen-1 nuclei and ends with a helium-4 nucleus and two hydrogen atoms.
  • The enormous pressure within the sun is necessary for this to occur.

Uses of Fusion

  • Fusion reactors: Man has not yet produced a self-sustaining fusion reaction that produces usable energy. A consortium of nations is working together to develop fusion reactor technology.
  • Fusion bombs: Thermonuclear devices use deuterium and tritium nuclei under extremely high temperatures and pressures.

Questions for Students

  1. Define nuclear fission and nuclear fusion. How do they differ?
  2. What is a chain reaction and what is critical mass?
  3. Explain the process of nuclear fission in a power reactor.
  4. Describe the challenges of creating a working fusion power plant.
  5. What are the uses of nuclear fission and fusion in modern technology?