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Vapor Saturation Pressure Over Ice Formulas and Calculator

Thermodynamics and Heat Transfer

Vapor Saturation Pressure Over Ice Formulas and Calculator

The saturation (sublimation) pressure over ice for the temperature range of –148 to 32°F is given by:

Equation 1
ln p_{w, s} = C₁/T + C₂ + C₃T + C₄T² + C₅T³ + C₆T⁴ + C₇ ln T

Formula given by IPAWS R7-97(2012) and R14-08 (2011).

Where:

p_{w, s} = saturation pressure, psia
T = absolute temperature, °R = °F + 459.67
C₁ = –1.0214165 E+04
C₂ = –4.8932428 E+00
C₃ = –5.3765794 E–03
C₄ = 1.9202377 E–07
C₅ = 3.5575832 E–10
C₆ = –9.0344688 E–14
C₇ = 4.1635019 E+00

Table 1 - Derived from Equation 1

Temperature		Saturation Pressure psia
˚ F	˚ R	ln pw,s	psia	Pa
32	491.7	-2.423169	8.864026E-02	6.112E+02
20	479.7	-2.986008	5.048857E-02	3.481E+02
8	467.7	-3.577958	2.793267E-02	1.926E+02
-4	455.7	-4.201264	1.497664E-02	1.033E+02
-16	443.7	-4.858408	7.762834E-03	5.352E+01
-28	431.7	-5.552146	3.879124E-03	2.675E+01
-40	419.7	-6.285543	1.863044E-03	1.285E+01
-52	407.7	-7.062021	8.570441E-04	5.909E+00
-64	395.7	-7.885409	3.761928E-04	2.594E+00
-76	383.7	-8.760009	1.568833E-04	1.082E+00
-88	371.7	-9.690670	6.185795E-05	4.265E-01
-100	359.7	-10.682881	2.293420E-05	1.581E-01
-112	347.7	-11.742879	7.945706E-06	5.478E-02
-124	335.7	-12.877779	2.554181E-06	1.761E-02
-136	323.7	-14.095740	7.556102E-07	5.210E-03
-148	311.7	-15.406163	2.037926E-07	1.405E-03

Related:

• Water Vapor Saturation Pressure Formulae and Calculator
• Steam Tables - Thermodynamics - Thermodynamics
• Water Saturation Pressure Temperature
• Partial Pressure of Water Vapor in Saturated Air Table Chart
• Saturation Thermodynamic
• Saturated Steam Tables Imperial Units
• Saturated Steam Table Chart Metric Units
• Thermodynamic Properties Saturated Water Pressure Entry Tables

References:

• Adapted from NASA (1976).