Heat Capacity of Air and Energy needed

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SUMMARY

The discussion focuses on calculating the energy required to heat a specific volume of air, specifically 10,000 cubic feet (283.17 m³), from an initial temperature of 0°C (32°F) to a final temperature of 21.1°C (70°F). The calculations utilize the density of air at 0°C (1.293 kg/m³) and the specific heat capacity (Cp) at that temperature (1.005 kJ/kg*K). The resulting energy requirement is calculated to be 7,764.11 kJ, confirming the accuracy of the method used for this thermal energy calculation.

PREREQUISITES
  • Understanding of specific heat capacity (Cp)
  • Knowledge of density calculations for gases
  • Familiarity with temperature conversion between Celsius and Kelvin
  • Basic proficiency in unit conversion (cubic feet to cubic meters)
NEXT STEPS
  • Research the impact of humidity on air density and heat capacity
  • Explore heating cost calculations based on energy consumption
  • Learn about thermal energy storage systems for air heating
  • Investigate alternative heating methods and their efficiencies
USEFUL FOR

Engineers, HVAC professionals, and anyone involved in energy management or heating system design will benefit from this discussion, particularly those focused on optimizing air heating processes.

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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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