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5) Calculate the binding energy per nucleon for Au¹98 using the Weizsäcker formula.

5) Calculate the binding energy per nucleon for Au¹98 using the Weizsäcker formula.

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5) Calculate the binding energy per nucleon for Au¹⁹8 using the Weizsäcker formula.
Transcribed Image Text:5) Calculate the binding energy per nucleon for Au¹⁹8 using the Weizsäcker formula.
Expert Solution
Concept and Principle:
  • The binding energy of a nucleus is the amount of energy that is required to separate the nucleons inside the nucleus. Binding energy per nucleon is the amount of energy that is stored in each nucleon.

 

  • The Weizsaecker formula is used to calculate the binding energy of the atomic nuclei based on the liquid-drop model of the atomic nuclei. The Weizsäcker formula is given by,

B=avA−asA23−acZ(Z−1)A13−as((N−Z)2A)±ap1A12

Here av is the volume term constant and has a value of 15.5 MeV, as is the surface term constant and has a value of 16.8 MeV, ac is the coulomb term constant and has a value of 0.72 MeV, asy is the symmetric term constant and has a value of 23 MeV, ap is the pairing term constant and has a value of 34 MeV, A is the mass number, Z atomic number, and N is the number of neutrons.

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