In the final stages of production, a pharmaceutical is sterilized by heating it from 25 to 75°c as it moves at 0.14 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? fluid properties may be approximated as 1000 kg/m3, 4000 j/kg·k, 2 × 10-3 kg/s·m, 0.8 w/m·k, and 10.