Amout of energy needed to warm air

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SUMMARY

The calculation of energy required to warm air from 20 °C to 100 °C in a constant volume of 1680 cm³ is determined using the specific heat of dry air and its density. The specific heat is 1.0 kJ/kg-K, and the density is 0.0013 g/cm³. The mass of air in 1680 cm³ is calculated to be 2.2 g or 2.2E-3 kg. Therefore, the energy needed to increase the temperature by 80 K is 0.18 kJ or 180 J.

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troymcfont
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Hi,

How do I calculate the amount of energy needed to warm air from 20 °C to 100 °C in a constant volume (1680 cm3)?

Thank you.
 
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The specific heat of dry air is about 1.0 kJ/kg-K, and the density of dry air is .0013 g/cm^3, so the air in 1680 cm^3 will weigh 2.2 g or 2.2E-3 kg. So to heat it up 80 C will take:

E = 1.0 kJ/kg-K * 2.2E-3 kg * 80 K = 0.18 kJ = 180J.

Here's a good source for some of these constants.
 
Thank you!
 

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