(Left) Comparison of the infrared luminosities inferred using a power-law temperature distribution model with those inferred using a single dust temperature model. Symbols are the same as in Fig. 2. The black solid line shows the one-to-one relation. The green dotted-dashed line shows the bias introduced in our single dust temperature model by the use of a constant bolometric-correction term of 1.91 to convert L_IR [40−120   μm]  into L_IR [8−1000   μm] . To compute this line we measure L_IR [40−120   μm]  and L_IR [8−1000   μm]  on a power-law temperature template library normalized to reproduce the T_c − L_IR correlation (see the red dashed line in the right panel of Fig. 9). We then plot on the x-axis 1.91 × L_IR [40−120   μm]  and on the y-axis L_IR [8−1000   μm] . (Right) Comparison of the dust temperatures inferred using a power-law temperature distribution model (T_c) with those inferred using a single dust temperature model (T_dust). The red dashed line show a linear fit to the T_c–T_dust relation, T_c = 0.6 × T_dust + 3   K. Symbols are the same as in the left panel. Note that T_c indicates the temperature of the coldest dust component of the multi-component model while T_dust measures an effective dust temperature.