Consider a rectangular fin (k=180 w/m·k) of length l=10 mm, thickness t=1 mm, and width w≫t. the base temperature of the fin is tb=110°c, and the fin is exposed to a fluid of temperature [infinity] t[infinity]=25°c. assuming a uniform convection coefficient of h=80 w/m2·k over the entire fin surface, determine the fin heat transfer rate per unit width qf′ ,efficiency ηf, effectiveness εf, thermal resistance per unit width rt, f′and the tip temperature t(l) for convection heat transfer at the tip, adiabatic tip and infinite fin.