The fluorescence quantum intensities of normal and oxygen-free solutions of para-terphenyl in toluene have been measured as a function of concentration c and of excitation wavelength λ from 2200 Å to 3300 Å. The absorption spectra of toluene and terphenyl have been observed. The energy transfer coefficient f from excited toluene molecules to terphenyl molecules has thus been obtained.f is found to depend on λ. For a given c, f=f₁ in region 1 (λ=2500-2650 Å), f=f₂>f₁ in region 2 (λ=2200-2350 Å), and f₂>f>f₁ for intermediate λ. Regions 1 and 2 correspond to the first and second excited electronic singlet states of toluene. The solvent-solute energy transfer from the second excited state, which occurs in approximately 10^-11 sec, competes efficiently with conversion to the 1st excited state of toluene.