Question
In: Physics
In a nuclear fusion reactor two nuclei of deuterium merge, forming a nucleus of helium. The...
In
a nuclear fusion reactor two nuclei of deuterium merge, forming a
nucleus of helium. The mass of the deuterium nucleus, expressed in
units of atomic mass (u), is 2.0136u and of the helium nucleus is
equal to 4.0015u (1u = 1.6605 × 10-27 kg). Determine the amount of
energy released when 1.0 kg of deuterium is merged. Answer: 5,74 ×
1014 J.
Solutions
Expert Solution
Energy released when 2 atoms of deuterium fuses to form an atom of helium is the mass difference between initial atoms and the final atoms
and using Einstein's mass-energy formula, we have
where c is the speed of light
This is the energy released by 2 atoms of deuterium
Hence the energy released 2 moles of deuterium is
2 moles of deuterium is
Hence the energy released by 1 kg or 1000 grams of deuterium is
genius_generous answered 2 years agoRelated Solutions
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