Why is fusion exothermic?

1 Answer
May 5, 2014

Fusion is exothermic because the mass of the products is lower than the mass of the two reacting nuclei.

Here are some typical masses:

  • neutron = 1.009 u
  • deuterium nucleus = 2.014 u.
  • tritium nucleus = 3.016 u
  • helium nucleus = 4.003 u

In a fusion reaction, two light nuclei fuse together and form a heavier nucleus.

The mass of the products is less than the mass of the two reacting nuclei.

For example, deuterium and tritium nuclei fuse to form a helium nucleus (α particle) and a neutron.

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The difference in masses is

(#α + n#) – (D + T) = (4.003 u + 1.009 u) – (2.014 u + 3.016 u) = 5.012 u – 5.030 u = -0.018 u.

The product nuclei have less mass than the reactants.

This difference in mass is given off in the form of energy (#E = mc^2#).

A fusion reaction is exothermic.