Heat Capacity of Air and Energy needed

AI Thread Summary
To calculate the energy required to heat 10,000 cubic feet of air from 0°C to 21.1°C, the volume converts to 283.17 m³, with a density of 1.293 kg/m³. This results in a mass of approximately 366.14 kg of air. Using the specific heat capacity of air at 0°C, which is 1.005 kJ/kg*K, the total energy needed is calculated as 7,764.11 kJ. The calculations appear accurate, confirming the energy requirement for heating air in this scenario. Understanding these calculations is essential for estimating heating costs effectively.
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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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