So, let me get this straight. Space has some small, but nonzero density and zero pressure. Let's say ideal gas law holds:
P = ρ*k*T/m,
where:
ρ is the average mass density,
m is the average mass of the molecules,
k = 1.3807x10-23 J/K is Boltzmann constant and
T is the absolute temperature.
So, according to what you said before, T = 0 K! But, this is impossible according to the Laws of Thermodynamics?!