A 30-L electrical radiator containing heating oil is placed in a 50-m3 room. Both the room and the oil in the radiator are initially at 10°C. The radiator with a rating of 1.8 kW is now turned on. At the same time, heat is lost from the room at an average rate of 0.35 kJ/s. After some time. the average temperature is easured to be 20°C for the air in the room, and 50°C for the oil in the radiator. Taking the density and the specific heat of the oil to be kg/m' and 2.2 kl/kg : DC, respectively, determine how long the heater is kept on. Assume the room is well-sealed so that there are no air leaks.
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