An aluminum pan whose thermal conductivity is 237 has a flat bottom whose diameter is 20 cm and thickness 0.4 cm. Heat is transferred steadily to the boiling water through the bottom of the pan. The temperature on the underside of the pan is 105°C; the bulk of the boiling water is at 100°C. The convective heat transfer coefficient of the boiling water is 5,000 .
a. How much heat flows through the bottom of the pan? ( HINT: Do not assume that the temperature on the bottom of the pan is 100°C.)
b. What is the temperature on the inside bottom surface of the pan, to 4 significant figures?