  In this work we explicitly calculate the thermal conductivity for a general
bidimensional dilute gas of neutral molecules by solving Boltzmann's equation.
Chapman-Enskog's method is used in order to analytically obtain this transport
coefficient to first approximation in terms of a collision integral for an
unspecified molecular interaction model. In the particular case of hard disks
interactions, the result is shown to be consistent with previous work by J. V.
Sengers \cite{Sengers}, yielding the expected $T^{1/2}$ dependence with the
temperature. This dependence is widely used for dense gases as the low density
limit in the Enskog expansion. The case of Maxwellian molecules is also
explored where a linear dependence with the temperature is obtained.
