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A hot fluid flows at a rate of 0.1kg/s through a horizontal, long, thin-walled tube with circular cross section (diameter D=0.005m,L=20m ). The inlet mean temperature of the fluid flow is unknown Tm.i and mean temperature outlet temperature is unknown Tm.o. Assume the flow is fully developed for the entire length of the tube (very small entry length). The system is at steady state. The entire exterior tube surface has constant temperature Ts=40C. The tube is exposed on all sides to the same fluid, which is static (quiescent) and constant T=20C. The fluid inside the tube and outside the tube never contact each other. Ignore any resistance to heat transfer associated with the thin tube wall. Assume the properties of the fluid are: =3103kg/ms;k=0.6W/mK;cp=4.2kJ/kgK;Pr=21=1000kg/m3;=2104C1 (a) Calculate the total heat transfer rate from the surface of the entire length of the tube. (b) Calculate two quantities: the mean inlet fluid temperature (Tm.i) and the mean outlet fluid temperature (Tm.o) in C. (c) Show that the ratio (TsTm.o)/(TsTm.i) is independent of the tube diameter for these internal flow conditions