Heat capacity ratio of air

γair=1.4 —\gamma_{\mathrm{air}} = 1.4\ \text{—}
Value1.4 —
StatusConventional / typical value
SourceNIST Chemistry WebBook; ASHRAE Handbook-Fundamentals
CategoriesThermodynamicEngineering & Trade
Heat capacity ratio of air in every dimensionless unit
part per trillion1,400,000,000,000 ppt
part per billion1,400,000,000 ppb
part per million1,400,000 ppm
per cent mille140,000 pcm
basis point14,000 bp
per mille1,400 per mille
percent140 %
ratio1.4 —

Learning zone

The ratio of specific heats governs what happens when a gas is compressed too fast to exchange heat: pV^γ stays constant, and the temperature rises. It is why a bicycle pump gets hot, why diesel engines ignite without a spark, and why the discharge of an air compressor needs an aftercooler. It also sets the speed of sound, a = √(γRT), giving 343 m/s in air at 20 °C.

The value 1.400 is not arbitrary. Nitrogen and oxygen are diatomic, with three translational and two rotational degrees of freedom active at room temperature, so equipartition predicts γ = (5+2)/5 = 1.4 exactly — one of the cleanest confirmations of kinetic theory. It falls slowly as temperature rises and vibrational modes wake up: about 1.40 at 20 °C, 1.35 at 500 °C, 1.30 at 1000 °C.