Problem 1 (25 points): A pin fin (with a thermal conductivity of 400W/m.K, a uniform cross sectional area, a diameter of Smm, and a length of Sem) is attached to a base at a temperature of 203C. The fin is exposed to a fluid at a temperature of 33C and heat transfer coefficient of 25W/m.K: 1. Calculate the heat transfer rate from the fin. 2. Calculate the effectiveness of the fin. 3. If 500 of such fins are attached to the base, which has dimensions of Imxlm, calculate the heat transfer rate from the fin array