Consider a unit volume (rigid walled container of surface area S) containing N molecules with diameter d, having a maxwellian speed distribution with a mean time between collisions t*. Allowing for a stable (i.e constant) equilibrium mono-layer distribution of some number of these molecules on the wall (say W); what are the answers to the following questions for the balance of molecules distributed throughout the containing volume, assuming only binary collisions. 1) For any time freeze instant, what fraction of the (N-W) translating molecules (a) are in physical contact with one other molecule? (b) have a nearest neighbor distance x such that d< x <= 2d ? (c) on average, what fraction of t* will a typical molecule be separated from its next, or last collision partner by x, where x ranges from d to 2d 2) For the above type gas it is commonly asserted that the "effective" exclusion volume per molecule is 4 times the actual molecular volume. Can anyone falsify this?