  We report about the current status of our ongoing study of the chiral limit
of two-flavor QCD at finite temperature with twisted mass quarks. We estimate
the pseudo-critical temperature $T_c$ for three values of the pion mass in the
range of $m_\mathrm{PS} \simeq 300$ and $500 \mathrm{MeV}$ and discuss
different chiral scenarios.
  Furthermore, we present first preliminary results for the trace anomaly,
pressure and energy density. We have studied several discretizations of
Euclidean time up to $N_\tau=12$ in order to assess the continuum limit of the
trace anomaly. From its interpolation we evaluate the pressure and energy
density employing the integral method. Here, we have focussed on two pion
masses with $m_\mathrm{PS} \simeq 400$ and $700 \mathrm{MeV}$.
