The 8-mm-thick bottom of a 220-mm-diameter pan may be made from aluminum \((k=240 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\) or copper \((k=390 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\). When used to boil water, the surface of the bottom exposed to the water is nominally at \(110^{\circ} \mathrm{C}\). If heat is transferred from the stove to the pan at a rate of \(600 \mathrm{~W}\), what is the temperature of the surface in contact with the stove for each of the two materials?