In an aluminum pot, 0.15 kg of water at 100 C boils away
in four minutes. The bottom of the pot is 3.1 103 m thick and has a
surface area of 0.015 m2. 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 1.4 103 m 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.