In 1989, researchers claimed to have achieved fusion in an electrochemical cell at room temperature. They claimed a power output of 4 W from deuterium fusion reactions in the palladium electrode of their apparatus.

(a) If the two most likely reactions are

²H + ²H → ³He + n + 3.27 MeV

and

²H + ²H → ³H + ¹H + 4.03 MeV

With 50% of the reactions going by each branch, how many neutrons per second would we expect to be emitted in the generation of 4 W of power?