The heat capacity of air is much smaller than that of water, and relatively modest amounts of heat are needed to change its temperature. This is one of the reasons why desert region, although very hot during the day, are bitterly cold at night. The heat capacity of air at room temperature and pressure is appoximately 21 J/K*mol. How much energy is required to raise the temperature of a room of dimensions 5.5m x 6.5m x 3.0m by 10 degrees Celsius? If losses are neglected, how long will it take a heater rated at 1.5 kW to achieve that increase given that 1 W = 1 J/s?
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