We have measured the temperature dependence of the 10.98 MHz longitudinal s
ound velocity of solid He-3 in the nuclear-ordered U2D2 phase and in the pa
ramagnetic phase along the melting curve. The temperature dependence of the
sound was attributed to the contributions from the nuclear spin system and
the molar volume change along the melting curve. The sound velocity increa
sed with temperature as T-4 in the U2D2 phase and the sound anisotropy due
to the exchange interaction was found to be about 10% among single-domain c
rystals investigated. The average value of the Gruneisen constant of the sp
in wave velocity in the ordered phase was <(gamma)over bar>(c) = 16 and is
compared to the calculated value of the multiple-exchange model.