This will be the first part of a two week problem thatis to be worked on with your homework group, and turned in on thebulletin board (there is no need to turn in with the rest of yourhomework assignment). A thermoelectric cooling device dissipates heatthrough a 3 cm X 3 cm heat sink machined from platinum (veryexpensive!). The base of the heat sink is 2 mm thick and the top ofthe heat sink base is covered with 10 plate fins that have arectangular profile. The fins have a length, L, of 15 mm, and athickness, t, of 1.5 mm (and extends over the entire width, W, ofthe heat sink). The 10 fins are equally spaced over the top of theheat sink base such that the gaps between that all 9 of the gapsare uniform. The ambient cooling air that is blown between the finsis at 20 oC and the maximum temperature that the thermoelectric isallowed to reach is 75 oC. The flow velocity upstream of the heatsink is 1.5 m/s, and you may assume that the flow remains channeledthrough the fins, and does not escape out the top of the fins. Forthis week: 

a) Estimate the average heat transfer coefficient on thefins 

b) Using the heat transfer coefficient from part

a), determine and plot the fin temperature profile using theinsulated tip assumption 

c) Determine the fin efficiency 

d)Determine the heat dissipated from a single fin 

e) Determine theheat dissipated from a single gap between fins 

f) Find the totalheat transfer from the heat sink 

g) Treating the heat sink as aheat exchanger, estimate the heat sink (exchanger)effectiveness