1. The problem statement, all variables and given/known data A gas in equilibrium has distribution function: f(p,r) = C0*(1+y*x)(2*pi*m*k*T)-3/2*exp(-p2/(2*m*k*T)) where x is the distance along an axis with fixed origin, and y is a constant. What's the nature of the force acting on this gas? 2. Relevant equations Maxwell bolztmann distribution for the momentum vector: f(p) = (2*pi*m*k*T)-3/2*exp(-p2/(2*m*k*T)) 3. The attempt at a solution I'm honestly not even sure what this question is asking. What does it mean by the "nature" of the force acting on the gas? I had initially thought this question was asking for like a qualitative description of what type of force could be acting on the gas, but I have the solution to this problem which goes: There is an effective temperature-dependent potential U(x) given through exp(-U/(k*T) ) = C0*(1+y*x) and I fail to see how that explains the nature of the force acting on the gas, so I think I must be not understanding what this question is looking for. Any ideas or tips would be greatly appreciated! Thanks!