A proposed design for a nuclear power plant uses molten lead to remove heat from the reactor core. The heated lead is then used to boil water that drives a steam turbine. Water at 5 atm pressure (Tsat=152C) enters a heated section of a pipe at 60C with a mass flow rate of m=2kg/s. The pipe is stainless steel (kS=15 W/mK ) with a wall thickness of 12mm and a 62mm O.D. The outside surface of the pipe is surrounded by an almost-stationary pool of molten lead at 477C. a. At a point where the liquid water has a bulk temperature Tb= 80C, estimate the inside and outside wall temperatures of the pipe, Twi and Two, to within about 5C. Neglect entry length and variable properties effects and take 0.000118K1 for lead. Hint: Guess an outside wall temperature above 370C when computing h for the lead. b. At what distance from the inlet will the inside wall of the pipe reach Tsat ? What redesign may be needed