A well-insulated 4m x 4m x 5m room initially at 10 degree celsius is heated by the radiator of a steam heating system. The radiator has a vol. of 15 L and is filled with super-heated vapor at 200 kPa and 200 deg. cel. At the this moment both the inlet adn the exit valves to the radiator are closed. A 120-W fan is used to distribute the air in the room. The pressure of the steam is observed to drop to 100kPa after 30 min as a result of heat transfer to the room. Assuming constant specific heats for air at room temp, determine the average temp of air in 30 min. Assume the air pressure in the room remains constant at 100kPa.