$8-53$ cas In a heating system, liquid water flows in a circular tube with a length of $3$ m and an inner diameter of $12\mathrm{.}5$ mm $.$ The water enters the tube at $15C,$ where it is heated at a rate of $1\mathrm{.}5$ kW $.$ The tube surface is maintained at a constant temperature. The flow is laminar, and it experiences a pressure loss of $5$ Pa in the tube. According to the service restrictions of the ASME Boiler and Pressure Vessel Code $($ASME BPVC$.$IV$-2015,$ HG$-101),$ hot water heaters should not be operating at temperatures exceeding $120C$ at or near the heater outlet. The tube's inner surface is lined with polyvinylidene fluoride $($PVDF$)$ lining. According to the ASME Code for Process Piping $($ASME B$31\mathrm{.}3-2014,$ Table A$323\mathrm{.}4\mathrm{.}3),$ the recommended maximum temperature for PVDF lining is $135C.$ To comply with both ASME codes, determine $($a$)$ whether the water exiting the tube is at a temperature below $120C,$ and $(b)$ whether the inner surface temperature of the tube exceeds $135C.$ Evaluate the fluid properties at $80C.$ Is this an appropriate temperature at which to evaluate the fluid projerties?