Consider a stainless steel spoon (k = 8.7 Btu/h · ft · °F) partially immersed in boiling w...

Consider a stainless steel spoon (k = 8.7 Btu/h · ft · °F) partially immersed in boiling water at 200°F in a kitchen at 75°F. The handle of the spoon has a cross section of 0.08 in × 0.5 in, and extends 7 in in the air from the free surface of the water. If the heat transfer coefficient at the exposed surfaces of the spoon handle is 3 Btu/h · ft2 · °F, determine the temperature difference across the exposed surface of the spoon handle. State your assumptions.