Consider pressurized liquid water flowing at m = 0.1 kg/s in a circular tube of diameter D = 0.1 m and length L = 6m.

(a) If the water enters at T_m,i = 500 K and the surface temperature of the tube is T_s = 510 K, determine the water outlet temperature T_m,o.
(b) If the water enters at T_m,i = 300 K and the surface temperature of the tube is T_s = 310 K, determine the water outlet temperature T_m,o.
(c) If the water enters at T_m,i = 300 K and the surface temperature of the tube is T_s = 647 K, discuss whether the flow is laminar or turbulent.