  Using high-resolution numerical simulations we investigate the plasma heating
driven by periodic two-fluid acoustic waves that originate at the bottom of the
photosphere and propagate into the gravitationally stratified and partially
ionized solar atmosphere. We consider ions+electrons and neutrals as separate
fluids that interact between themselves via collision forces. The latter play
an important role in the chromosphere, leading to significant damping of
short-period waves. Long-period waves do not essentially alter the photospheric
temperatures, but they exhibit the capability of depositing a part of their
energy in the chromosphere. This results in up about a five times increase of
ion temperature that takes place there on a time-scale of a few minutes. The
most effective heating corresponds to waveperiods within the range of about
30-200 s with a peak value located at 80 s. However, we conclude that for the
amplitude of the driver chosen to be equal to 0.1 km s$^{-1}$, this heating is
too low to balance the radiative losses in the chromosphere.
