In the final stages of production, a pharmaceutical is sterilized by heating it from 25 to 75°c as it moves at 0.17 m/s through a straight thin-walled stainless steel tube of 12.7-mm diameter. a uniform heat flux is maintained by an electric resistance heater wrapped around the outer surface of the tube. if the tube is 10 m long, what is the required heat flux? if fluid enters the tube with a fully developed velocity profile and a uniform temperature profile, what is the surface temperature at the tube exit and at a distance of 0.5 m from the entrance? fluid properties may be approximated as rho = 1000 kg/m3, cp = 4000 j/kg k, mu = 2 times 10-3 kg/s m, k = 0.8 w/m k, and pr = 10.