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Nuclear Transmutation, Decay

nuclear transmutations - changing the atom’s identity  

  • 1st conversion done by Rutherford
  • nuclear reactions can start by striking nuclei w/ particles
  • particle accelerators - slams charged particles against nuclei
    • needs high speed to overcome electrostatic repulsion between particles and nuclei
    • not used for neutrons (not repelled by nuclei)
  • transuranium elements - elements w/ atomic number greater than 92

Xenon-118 undergoes electron capture to become what?  

  • atomic number decreases by 1
  • atomic mass stays the same
  • 118Xe + -1e0 >> 118I

Carbon-14 undergoes betay decay to produce what?  

  • atomic number increases by 1
  • atomic mass stays the same
  • 14C >> 14N + -1e0

radioactive decay rates - 1st-order kinetic process

  • half-life - time required for 1/2 of given quantity to react
  • k = 0.693 / t1/2
  • ln (Nt / N0) = -kt

An old piece of wood has carbon-14 activity of 11.7 disintegrations per minute per gram. Current carbon-14 activity is 15.3 disintegrations per minute per gram. The half-life of carbon-14 is 5714 years. How old is that old piece of wood?  

  • Given:
    • t1/2 = 5714
    • Nt = 11.7
    • N0 = 15.3
  • k = 0.693 / 5714 = 1.2 x 10-4
  • ln (11.7 / 15.3) = -(1.2 x 10-4)t
  • t = 2212 years old
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