A steel pipe of \(100 \mathrm{~mm}\) bore and \(10 \mathrm{~mm}\) wall thickness, carrying steam at \(250^{\circ} \mathrm{C}\), is insulated with \(30 \mathrm{~mm}\) of a molded high-temperature diatomaceous earth covering. This covering is in turn insulated with \(60 \mathrm{~mm}\) of asbestos felt. If the atmospheric temperature is \(22^{\circ} \mathrm{C}\), calculate the rate at which heat is lost by the steam per meter length of pipe. The heat transfer coefficients for the inside and outside surfaces are 520 and 28 \(\mathrm{W} / \mathrm{m}^{2} \mathrm{~K}\), respectively, and the thermal conductivity of steel, diatomaceous earth, and asbestos felt are 54, 0.12, and \(0.09 \mathrm{~W} / \mathrm{mK}\), respectively. Also, calculate the temperature of the outside surface.