  We calculate the finite-temperature corrections in the dilated chiral quark
model using the effective potential formalism. Assuming that the dilaton limit
is applicable at some short length scale, we interpret the results to represent
the behavior of hadrons in dense {\it and} hot matter. We obtain the scaling
law, $\frac{f_{\pi}(T)}{f_{\pi}} = \frac{m_Q (T)}{m_Q}
  \simeq \frac{m_{\sigma}(T)}{m_{\sigma}}$ while we argue, using PCAC, that
pion mass does not scale within the temperature range involved in our
Lagrangian. It is found that the hadron masses and the pion decay constant drop
faster with temperature in the dilated chiral quark model than in the
conventional linear sigma model that does not take into account the QCD scale
anomaly. We attribute the difference in scaling in heat bath to the effect of
baryonic medium on thermal properties of the hadrons. Our finding would imply
that the AGS experiments (dense {\it and} hot matter) and the RHIC experiments
(hot and dilute matter) will ``see" different hadron properties in the
hadronization phase.
