A thick soup is being boiled in a pan and because of inadequacy of stirring a layer of soup builds up on the
bottom of the pan to a thickness of 2 mm. The hot plate is at an average temperature of 500°C, the heat-
transfer coefficient from the plate to the pan is 600 J m-2 s-1 °C-1, and that from the soup layer to the surface
of the bulk soup is 1400 J m-2 s-1 °C-1. The pan is of aluminium 2 mm thick. Find the temperature between
the layer of soup and the pan surface. Assume the thermal conductivity of the soup layer approximates that of
water.
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