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Isotopes Variants of a chemical element
All isotopes of a given element have the same # of protons Differ in the number of neutrons Hydrogen Deuterium Tritium
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Isotopes General Form: AXZ 1H1 2H1 3H1
Chemical symbol for the element: X Atomic # (# of Protons): Z Protons + Neutrons: A Hydrogen Deuterium Tritium 1H1 2H1 3H1
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Radioactive Decay Beta Decay Alpha Decay Electron Emission (β-)
238U92 => 234Th90 + 4He2 Beta Decay Electron Emission (β-) 3H1 => 3He2 + 0e-1 234Th90 => 234Pa91 + 0e-1 Electron Capture 40K e-1 => 40Ar18 + hv Postitron Emission (β+) 40K19 => 40Ar18 + 0e+1
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Trinity Test Trinity Test Video
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Early History of the Bomb
1931—Crockroft & Walton split the atom 1932—Chadwick discovers the neutron (Nobel Prize 1953 1934—Joliot & Curies bombard a target to produce new elements using α particles α Alpha Particle Thin Foil 7Li 11B
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Early History of the Bomb
Fermi repeats bombarding experiment with neutrons and finds: Uranium produces several radioactive by products. α β γ Neutron N Uranium β γ
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Uranium-235 Fission 1N U92 236U92 144Ba Kr36 + 3N + ENERGY Protons + Neutrons = 236 Protons = 92 Protons + Neutrons = 236 Protons = 92
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Early History of the Bomb
1938—Hahn & Stassmann prove that Fermi observed fission and published 12/22/1938. Fermi Wins Nobel Prize. 1939—Frisch and Meitner describe fission and the potential for large amounts of energy to be released. The Question? Are neutrons liberated in the process??
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Early History of the Bomb
1939—Leo Szilard confirms that neutrons are produced and an explosive chain reaction is possible.
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Early History of the Bomb
1939—April 22. Letter in Nature by Joliot confirmed that excess neutrons are produced and a chain reaction is confirmed. World War II begins.
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Fission of Uranium Mass of a Neutron = u
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u Mass of 144Ba56 = u
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u Mass of 144Ba56 = u Mass of 89Kr36 = u
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u Mass of 144Ba56 = u Mass of 89Kr36 = u 1N U92 236U92 144Ba Kr36 + 3N + ENERGY
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u Mass of 144Ba56 = u Mass of 89Kr36 = u 1N U92 236U92 144Ba Kr36 + 3N + ENERGY =
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u Mass of 144Ba56 = u Mass of 89Kr36 = u 1N U92 236U92 144Ba Kr36 + 3N + ENERGY = (1.008) =
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Fission of Uranium Mass of a Neutron = 1.008 u
Mass of 235U = u Mass of 144Ba56 = u Mass of 89Kr36 = u 1N U92 236U92 144Ba Kr36 + 3N + ENERGY = (1.008) = Δ M = u
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Fission of Uranium Δ M = u 1 u = 1.66 x kg
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Fission of Uranium Δ M = u 1 u = 1.66 x kg E = mc2
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Fission of Uranium Δ M = 0.187 u 1 u = 1.66 x 10-27 kg E = mc2
E =(1.66 x 10-27) (0.187kg) x (2.99 x 108)2
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Fission of Uranium Δ M = 0.187 u 1 u = 1.66 x 10-27 kg E = mc2
E =(1.66 x 10-27) (0.187kg) x (2.99 x 108)2 E = * Joules
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Fission of Uranium Δ M = 0.187 u 1 u = 1.66 x 10-27 kg E = mc2
E =(1.66 x 10-27) (0.187kg) x (2.99 x 108)2 E = * Joules Note: A unit we like to use is the electron volt (eV). This is the energy an electron will gain as it moves across an electric potential difference of one volt. 1eV = x Joule
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Fission of Uranium Δ M = 0.187 u 1 u = 1.66 x 10-27 kg E = mc2
E =(1.66 x 10-27) (0.187kg) x (2.99 x 108)2 E = * Joules Note: A unit we like to use is the electron volt (eV). This is the energy an electron will gain as it moves across an electric potential difference of one volt. 1eV = x Joule 2.775 x J x 1 eV 1.73 x 108 eV 173. x 106 eV = = 1.602 x J
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Fission of Uranium Δ M = 0.187 u 1 u = 1.66 x 10-27 kg E = mc2
E =(1.66 x 10-27) (0.187kg) x (2.99 x 108)2 E = * Joules Note: A unit we like to use is the electron volt (eV). This is the energy an electron will gain as it moves across an electric potential difference of one volt. 1eV = x Joule 2.775 x J x 1 eV 1.73 x 108 eV 173. x 106 eV = = 1.602 x J = 173 MeV
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So What’s the Big Deal?? If * Joules of energy are released in one fission What if 1 Kg of Uranium 235 fissions? How much energy is released?
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So What’s the Big Deal?? If * Joules of energy are released in one fission What if 1 Kg of Uranium 235 fissions? How much energy is released? 1 mole 235U92 = g 1 Kg = 1000 g
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So What’s the Big Deal?? If * Joules of energy are released in one fission What if 1 Kg of Uranium 235 fissions? How much energy is released? 1 mole 235U92 = g 1 Kg = 1000 g 1000 g 235U92 x 1 mole 235U92 = 4.25 Moles 235U92 g 235U92
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The Big Deal 4.25 Moles 235U92 x 6.022 x 1023 atoms =
2.56*1024 Atoms 235U92 mole
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The Big Deal 4.25 Moles 235U92 x 6.022 x 1023 atoms =
2.56*1024 Atoms 235U92 mole If 1 Kg of 235U92 fissions, we get: 2.775 X Joule x 2.56*1024 Atoms 235U92 = 7.10* 1013 Joules Atom
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The Big Deal 4.25 Moles 235U92 x 6.022 x 1023 atoms =
2.56*1024 Atoms 235U92 mole If 1 Kg of 235U92 fissions, we get: 2.775 X Joule x 2.56*1024 Atoms 235U92 = 7.10* 1013 Joules Atom As a comparison: 1 TON of TNT 4.184* 109 Joules
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The Big Deal 17,000 Tons of TNT 4.25 Moles 235U92 x 6.022 x 1023 atoms
= 2.56*1024 Atoms 235U92 mole If 1 Kg of 235U92 fissions, we get: 2.775 X Joule x 2.56*1024 Atoms 235U92 = 7.10* 1013 Joules Atom As a comparison: 1 TON of TNT 4.184* 109 Joules 7.10* 1013 Joules = 1.7* 104 Tons of TNT 1 Kg of 235U92 4.184* 109 Joules 17,000 Tons of TNT
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Fission Videos Nuclear Fission Chain Reaction
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Fission Cross Sections
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The Problem Fission occurs in about 10-8 seconds
80 Generations pass in 0.8 microseconds It takes less than a millionth of a second to fission a kg of 235U
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The Solution Equivalent to 20,000 Tons of TNT
Use a gun to shoot the slug in Little Boy Gun Type Weapon Equivalent to 20,000 Tons of TNT
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Fat Man Bomb
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Fat Man Bomb
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Homework Given the Equation:
1N U92 236U92 144Ba Kr36 + 3N + ENERGY What percentage of the mass is converted to energy?
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