A series of \(10 \mathrm{fins}\) is to be used to dissipate \(100 \mathrm{~W}\) from a piece of equipment whose surface temperature must be kept below \(80^{\circ} \mathrm{C}\). Air at \(300 \mathrm{~K}\) can be used to remove the heat providing a heat transfer coefficient of \(50 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). Rectangular fins of maximum base size of \(1 \mathrm{~cm} \times 1 \mathrm{~mm}\) are to be used. You can use aluminum or copper for the fins.

a. What length fins are required for the two materials?

b. What is the weight of the fins for both cases?

c. Based on current prices for the materials, what is the cost for each set of fins?