A long cylinder 10 cm in diameter with an initial temperature of 700 K is suddenly immersed into water with a temperature of 300 K giving a convective heat transfer coefficient of 80 W/m2-K. Assume k = 22 W/m-K, Cp=536 J/kg-K, and a density of 8050 kg/m3 for the cylinder material. a. Determine the surface and centerline temperatures of the cylinder 10 minutes after immersion
b. Calculate the heat transferred from the cylinder during this time interval.
c. Calculate the maximum heat transfer (Q max).

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 the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct.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.