2. (25 points). A solid aluminum alloy rod (k = 200 W/m K) of diameter D = 5 mm and total length 2L = 120 mm is at an initial temperature of T;= 100C. The rod is suddenly cooled in a large bath of fluid of ambient temperature T = 0C with h = 100 W/mK. The specific heat of the rod is c = 875 J/kg K and its density if p= 2770 kg/m. a. (10 points). May the lumped capacitance method be used to calculate the average rod temperature at t = 60 seconds? Show your calculation. b. (15 points). Calculate the average rod temperature at t = 60 seconds.