Consider the same problem as homework $9,$ except that now the temperature of the outsidewall is unknown. The inside surface is at $27\backslash$deg C$.$ The wall thickness is $25$ cm and conductivityis $4$ W$/$m$/$K$.$ The outside surface of the wall exchanges heat by radiation with the surroundingsurfaces at $40\backslash$deg C$,$ and by convection with air at $40\backslash$deg C with a convection heat transfer coefficientof $8$ W$/$m$2$K$.$ Solar radiation is incident on the surface at a rate of $200$ W$/$m$2.$ Both theemissivity and the solar absorptivity of the outer surface are $0\mathrm{.}8.$a$)$ Find the temperature of the outside wall.b$)$ Find the rate of heat transfer across the wall.