A space station in outer space $($a long way away from the Sun$)$ has a total surface area of $580$ m$2$ with emissivity of $0\mathrm{.}62.$ The temperature of the outside surface is $156$ K$.$ The walls are $0\mathrm{.}25$ m thick with an average thermal conductivity of $0\mathrm{.}038$ Wm$-1$K$-1.$ Find the temperature of the inner wall of the space station, assuming that the outside surface radiates into an environment that is very cold$—$essentially at $0\mathrm{.}0$ K$.$