You are using a silver spoon to stir water that just startedboiling so that you can achieve a more even heat distribution inyour water. The spoon is partially immersed in boiling water and athermometer in your kitchen reads 27 °C. The handle of the spoonhas a cross section of 2mm × 1cm and extends 15 cm in the air fromthe free surface of the water. The heat transfer coefficient at theexposed surfaces of the spoon handle is 3 W/m2×K.

A) Determine the temperature difference across the exposedsurface of the spoon handle.

B) Can the lumped sum analysis be applied to the water as itcools? Provide justification to support your answer.

******Note:

Your answer must provide the following:

1. Assumptions: state all assumptions necessary to solve theproblem, explain their relevance and

   validate them where necessary.

2. Schematic: draw a schematic showing the flow of energy in yoursystem

3. What are the modes of heat transfer that the spoon is exposedto?

4. Is this a time dependent or steady state problem? Why or whynot?

5. Is this a 1-D, 2-D or 3-D problem? Why or why not?

6. What is the thermal conductivity of the material? Can you assumeit constant and if so, for what

   ranges?

7. The heat transfer coefficient is a function of many variables.Discuss the variables and whether the

   heat transfer coefficient can be assumed to be constant

8. What boundary condition are you applying and why?

9. Concluding remarks: explain the meaning of the answersobtained