One-dimensional plane wall of thickness 2L=80 mm experiences uniform thermal generation of q dot =1000 W/m^3 and is convectively cooled at x=±40m by an ambient fluid characterized by T [infinity] = 30 degrees C. If the steady-state temperature distribution within the wall is T(x) = a(L2-x2)+b where a = 15o C/m^2 and b=40oC, what is the thermal conductivityof the wall? What is the value of the convection heat transfer coefficient?

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.