Calculations are presented for the transport properties of a two‐temperature argon plasma based on the Chapman‐Enskog and perturbed‐Lorentzian solutions of the Boltzmann equations. The convergence problems known to exist in the Chapman‐Enskog solution for the properties of a one‐temperature argon plasma also occur here; this difficulty is removed by using the perturbed Lorentzian solution at low and moderate degrees of ionization. Also, it is found that the lowest order perturbed Lorentzian and Chapman‐Enskog approximate solutions provide upper and lower bounds to the actual solution at low and moderate degrees of ionization. Finally, owing to the Ramsauer minimum in the electron‐atom cross section, the electrical conductivity of the two‐temperature argon plasma is found to decrease with increasing electron temperature (at fixed heavy particle temperature and electron density) at low degrees of ionization, and increase with increasing electron temperature at higher degrees of ionization.