The heat capacity of air is much smaller than that of water, and relatively mode

Question

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 regions, though very hot during the day, are bitterly cold at night. The heat capacity of air at 25.0 Celsius and 1.00 atm pressure is approximately 21 J/mol-K. First, figure out how much energy in J is required to raise the temperature of the air in a room of dimensions 7.00 m x 6.00 m x 8.00 m by 1.0 degrees Celsius. Then, if losses to the walls are neglected, how long in seconds will it take a heater rated at 1.00 kilowatts (kW) to achieve that increase? (1W= 1J/s)

Explanation / Answer

volume=7*6*8 =336m3=336000 L no of moles=PV/RT =13750.2 energy req= 21*13750.2*1=288754.3 time taken = energy/power=288.7543 Sec

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