In an aluminum pot, 0.15 kg of water at 100 degrees c boils away in four minutes. The bottom of the pot is 3.1x10^-3m thick and has a surface area of 0.015m^2. To prevent the water from boiling too rapidly, a stainless steel plate has been placed between the pot and the heating element. The plate is 1.4x10^-3m thick, and its area matches that of the pot. Assuming that heat is conducted into the water only through the bottom of the pot, find the temperature at
(a) the aluminum-steel interface and
(b) the steel surface in contact with the heating element.