OLR as a function of the surface temperature by only using the physical properties of other gases in the convective scheme calculation (top panel), in the radiative transfer calculation only (middle panel) and in both of them (bottom panel). The full blue line corresponds to the curve presented in the top panel of Fig. 3 with the true value of the nitrogen molecular weight. The dotted lines correspond to M_n and c_p values of other gases (see Table 2). Here, we used the Conv_D16 scheme and the Exo_k-RT radiative transfer method assuming 1 bar of background gas.