Let a molarity (the number of moles in the unit volume) at height z be ρ(z), the equation of state is p(z)=ρ(z)RT. Let the base area of the container be A, and consider the balance of forces acting on the gas inside the infinitesimal region A⋅Δz. Derive the expression for pressure p(z) at height z in terms of p0, μ, g, R, and T.