Normalized cumulative gas mass versus entropy for the objects in our sample. For each object we plot the distributions for p = −2, −100, 1 (α = 0.5, 0.99, 2) and shade the region between them. The gas mass is normalized to the total gas mass. For comparison we show, as small rectangles following the same color coding of the gas mass distributions, the values of the entropy obtained from a single temperature analysis of our spectra. The gray vertical box corresponds to K = 30 − 33 keV cm². Note that only CC objects are expected to have mass distributions extending below this entropy.