2. Using the lumped capacitance assumption, show that the normalized temperature 0/0 for an object with generation , density P, heat capacity Cp, surface area As, volume V, and initial temperature T; that is suddenly immersed in a fluid at T. and with heat transfer coefficient h, is = exp(-at) + (42) 11 - exp [1 - exp (-at)] e where has a = PVCp av b = pvcp p Hint: our lumped capacitance solution in class did not include generation, but you can generalize that approach to one that includes generation. Make the same o substitution and define the a and b variables as above. When you get to a non-homogenous differential equation, make an additional substitution for O' = 0 - 9 That should produce an equation you can separate and integrate. a