It is possible to estimate the activation energy for fusion by calculating the energy required to bring two deuterons close enough to one another to form an alpha particle. This energy can be obtained by using Coulomb’s law in the form E = 8.99 × 109 q1q2/r, where q1 and q2 are the charges of the deuterons (1.60 × 10–19 C), r is the radius of the He nucleus, about 2 × 10–15 m, and E is the energy in joules.
(a) Estimate E in joules per alpha particle.
(b) Using the equation E = mv2/2, estimate the velocity (meters per second) each deuteron must have if a collision between the two of them is to supply the activation energy for fusion (m is the mass of the deuteron in kilograms).
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