Monte Carlo methods have been utilized to determine the neutron and alpha-particle spectra in a deuterium-tritium plasma at temperatures of 10, 20, and 30 keV. Results show that the deuteron and triton energy spectra, their variable angles of interaction, and the variable angle of particle emission broaden the energy of the nominal 14.1-MeV neutron and of the nominal 3.5-MeV associated alpha particle by ±1 MeV at a plasma temperature of 30 keV.