Heat Capacity of Air and Energy needed

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Trying to determine the amount of energy required to heat a specific volume of air by a certain change in temperature. So far this is what I gotten.

Vol: 10,000 cubic feet = 283.17 m^3
Orig Temp: 0C (32F)
Final Temp: 21.1C (70F)
deltaT: 21.1 K or C
Density of air @ 0C: 1.293 kg/m^3
Cp @0C: 1.005 kJ/kg*K

So my math is

283.17 m^3 * 1.293 kg/m^3 = 366.14 kg
1.005 kJ/kg*K * 366.14 kg * 21.1 K = 7,764.11 kJ

Does this seem correct to the eyes of others?

Been puzzling over heating costs and this is one step.
 
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