31H (tritium) can be produced in water surrounding a strong source of neutrons, such as that occuring in nuclear reactors. One of the ways tritium can form is via neutron capture by deuterium.
(a) Write down the equation for this capture reaction.
(b) Tritium has a half-life of 12.33 years. What percentage of a sample containing will remain after exactly 6 years?
(c) Determine the gamma-ray energy emitted during the capture (assuming the tritium ends up in its ground state and the incoming neutron kinetic energy is negligible).
(d) Write down the reaction for the subsequent beta decay of the tritium and determine the stable daughter identity.
(e) If all the energy released in the beta decay went into the beta particle, determine its energy.