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 2mm. The hot plate on which the pan is standing is at an average temperature of 500oC, the heat transfer coefficient from the plate to the pan is 600 Jm-2s-1oC1, and that from the soup layer to the surface of the bulk soup is 1400 Jm-2s-1oC1. The pan is of aluminium 2mm 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.