You use a horizontal, 4 mm diameter, 100 mm long heater rod to boil water under atmospheric pressure. The rod material is of emissivity 0.5 and maintains its surface temperature at 455˚C during operation. Estimate the power dissipation of the heater rod (W).

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.