Heat capacity ratio of steam

γsteam=1.33 —\gamma_{\mathrm{steam}} = 1.33\ \text{—}
Value1.33 —
StatusReference value; the source states no uncertainty
SourceIAPWS-95 (IAPWS R6-95(2018)), computed with CoolProp: 1.337 for water vapour at 100 °C and 1 atm
CategoriesThermodynamicEngineering & Trade
Heat capacity ratio of steam in every dimensionless unit
UnitValue
ratio1.33 —
percent133 %
part per trillion1,330,000,000,000 ppt
part per billion1,330,000,000 ppb
part per million1,330,000 ppm
per cent mille133,000 pcm
basis point13,300 bp
per mille1,330 per mille

Learning zone

Water vapour is a bent triatomic molecule with three rotational degrees of freedom instead of two, so cv is larger and γ falls to about 1.33 near 100 °C and atmospheric pressure. It keeps sliding downward with pressure and temperature as vibrational modes contribute, reaching roughly 1.28 in superheated steam at typical turbine inlet conditions.

The number matters in steam nozzle and safety-valve sizing, where the critical pressure ratio for choked flow is [2/(γ+1)]^(γ/(γ−1)): 0.545 for steam against 0.528 for air. Steam engineering also uses polytropic exponents that look like γ but are not: n ≈ 1.135 for wet steam and 1.3 for superheated steam are Zeuner's empirical expansion exponents, not ratios of specific heats.

Revised 1 November 2026
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formula.expert. (2026, November 1). Heat capacity ratio of steam. https://formula.expert/constants/heat-capacity-ratio-steam