Reconsider Prob. 17€“107E. Using an appropriate software, investigate the effects of the thermal conductivity of the spoon material and the length of its extension in the air on the temperature difference across the exposed surface of the spoon handle. Let the thermal conductivity vary from 5 Btu/h·ft·°F to 225 Btu/h·ft·°F and the length from 5 in to 12 in. Plot the temperature difference as the functions of thermal conductivity and length, and discuss the results.

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Spoon T = 75°F 7 in Bolling water 200°F