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 immerse in a fluid at T. and with heat transfer coefficient h. is bla exp(-at) + () [1 exp (-at)] 0; where ho a = hA. PVCp 9V b = pVCp pp 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 e substitution and define the a and b variables as above. When you get to a non-homogenous differential equation, make an additional substitution for 0 = 0 - That should produce an equation you can separate and integrate. a