Asquare rod of cross-section ac=w2 is attached between two heat reservoirs, maintained at the same temperature tb. the rod loses heat by convection to the air at t[infinity]. the following is given: w = 1 cm, 2l = 20cm, k = 10 w/(m-k), h = 25 w/(m2-k), tb=100°c, and t[infinity] = 20°c. (a) determine the temperature at x = l/2 and at x = l using an exact analysis. the following two options are acceptable: 1) derive the required governing equation using a differential energy balance and find the temperature profiles, and 2) use the proper temperature profile formula from your textbook. (b) determine the total heat transfer from the bar into the environment. (c) the rod under consideration is not a fin per se, but can be analyzed as a fin, what is the efficiency of this fin?