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Isotopes

Isotopes. Variants of a chemical element All isotopes of a given element have the same # of protons Differ in the number of neutrons. Hydrogen. Tritium. Deuterium. Isotopes. General Form: A X Z Chemical symbol for the element: X Atomic # (# of Protons): Z Protons + Neutrons: A.

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Isotopes

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  1. Isotopes • Variants of a chemical element • All isotopes of a given element have the same # of protons • Differ in the number of neutrons Hydrogen Tritium Deuterium

  2. Isotopes • General Form: AXZ • Chemical symbol for the element: X • Atomic # (# of Protons): Z • Protons + Neutrons: A Deuterium Tritium Hydrogen 1H1 3H1 2H1

  3. Radioactive Decay • Alpha Decay • 238U92 => 234Th90 + 4He2 • Beta Decay • Electron Emission (β-) • 3H1 => 3He2 + 0e-1 • 234Th90 => 234Pa91 + 0e-1 • Electron Capture • 40K19 + 0e-1 => 40Ar18 + hv • Postitron Emission (β+) • 40K19 => 40Ar18 + 0e+1

  4. Trinity Test • Trinity Test Video

  5. 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

  6. Early History of the Bomb • Fermi repeats bombarding experiment with neutrons and finds: • Uranium produces several radioactive by products. α β γ Neutron N β Uranium γ

  7. Uranium-235 Fission • 1N0 + 235U92236U92 144Ba56 + 89Kr36 + 3N + ENERGY • Protons + Neutrons  1 + 235 = 236 • Protons  0 + 92 = 92 • Protons + Neutrons  144 + 89 + 3 = 236 • Protons  56 + 36 = 92

  8. 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??

  9. Early History of the Bomb • 1939—Leo Szilard confirms that neutrons are produced and an explosive chain reaction is possible.

  10. 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.

  11. Fission of Uranium • Mass of a Neutron = 1.008 u

  12. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u

  13. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u • Mass of 144Ba56 = 143.923 u

  14. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u • Mass of 144Ba56 = 143.923 u • Mass of 89Kr36 = 88.918 u

  15. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u • Mass of 144Ba56 = 143.923 u • Mass of 89Kr36 = 88.918 u • 1N0 + 235U92236U92 144Ba56 + 89Kr36 + 3N + ENERGY

  16. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u • Mass of 144Ba56 = 143.923 u • Mass of 89Kr36 = 88.918 u • 1N0 + 235U92236U92 144Ba56 + 89Kr36 + 3N + ENERGY • 1.008 + 235.044 = 236.052

  17. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u • Mass of 144Ba56 = 143.923 u • Mass of 89Kr36 = 88.918 u • 1N0 + 235U92236U92 144Ba56 + 89Kr36 + 3N + ENERGY • 1.008 + 235.044 = 236.052 • 143.923 + 88.918 + 3(1.008) = 235.865

  18. Fission of Uranium • Mass of a Neutron = 1.008 u • Mass of 235U = 235.044 u • Mass of 144Ba56 = 143.923 u • Mass of 89Kr36 = 88.918 u • 1N0 + 235U92236U92 144Ba56 + 89Kr36 + 3N + ENERGY • 1.008 + 235.044 = 236.052 • 143.923 + 88.918 + 3(1.008) = 235.865 • Δ M = 0.187 u

  19. Fission of Uranium • Δ M = 0.187 u • 1 u = 1.66 x 10-27 kg

  20. Fission of Uranium • Δ M = 0.187 u • 1 u = 1.66 x 10-27 kg • E = mc2

  21. 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

  22. 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 = 2.775 * 10-11 Joules

  23. 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 = 2.775 * 10-11 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 = 1.602 x 10-19 Joule

  24. 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 = 2.775 * 10-11 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 = 1.602 x 10-19 Joule 173. x 106eV 1.73 x 108eV 2.775 x 10-11 J x 1 eV = = 1.602 x 10-19 J

  25. 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 = 2.775 * 10-11 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 = 1.602 x 10-19 Joule 173. x 106eV 1.73 x 108eV 2.775 x 10-11 J x 1 eV = = 173 MeV 1.602 x 10-19 J =

  26. So What’s the Big Deal?? • If 2.775 * 10-11 Joules of energy are released in one fission • What if 1 Kg of Uranium 235 fissions? • How much energy is released?

  27. So What’s the Big Deal?? • If 2.775 * 10-11 Joules of energy are released in one fission • What if 1 Kg of Uranium 235 fissions? • How much energy is released? 1 mole 235U92 = 235.044g 1 Kg = 1000 g

  28. So What’s the Big Deal?? • If 2.775 * 10-11 Joules of energy are released in one fission • What if 1 Kg of Uranium 235 fissions? • How much energy is released? 1 mole 235U92 = 235.044g 1 Kg = 1000 g 1000 g235U92x 1 mole 235U92 = 4.25 Moles 235U92 235.044 g235U92

  29. The Big Deal 4.25 Moles 235U92 x 6.022 x 1023 atoms = 2.56*1024 Atoms 235U92 mole

  30. 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 10-11 Joule x 2.56*1024 Atoms 235U92 = 7.10* 1013 Joules Atom

  31. 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 10-11 Joule x 2.56*1024 Atoms 235U92 = 7.10* 1013 Joules Atom As a comparison: 1 TON of TNT 4.184* 109 Joules

  32. 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 10-11 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

  33. Fission Videos • Nuclear Fission • Chain Reaction

  34. Fission Cross Sections

  35. 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

  36. The Solution Use a gun to shoot the slug in Little Boy Gun Type Weapon Equivalent to 20,000 Tons of TNT

  37. Fat Man Bomb

  38. Fat Man Bomb

  39. Homework • Given the Equation: • 1N0 + 235U92236U92 144Ba56 + 89Kr36 + 3N + ENERGY • What percentage of the mass is converted to energy?

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