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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 pw, s = C1/T + C2 + C3T + C4T2 + C5T3 + C6T4 + C7 ln T

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

Where:

pw, 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
psia
Pa
32
491.7
9.5518E-11
6.586E-07
20
479.7
5.3685E-11
3.701E-07
8
467.7
2.9355E-11
2.024E-07
-4
455.7
1.5584E-11
1.075E-07
-16
443.7
8.0145E-12
5.526E-08
-28
431.7
3.9823E-12
2.746E-08
-40
419.7
1.9065E-12
1.314E-08
-52
407.7
8.7655E-13
6.044E-09
-64
395.7
3.8567E-13
2.659E-09
-76
383.7
1.6174E-13
1.115E-09
-88
371.7
6.4351E-14
4.437E-10
-100
359.7
2.4166E-14
1.666E-10
-112
347.7
8.5156E-15
5.871E-11
-124
335.7
2.7966E-15
1.928E-11
-136
323.7
8.4938E-16
5.856E-12
-148
311.7
2.3644E-16
1.630E-12

 

Related:

References:

  • Adapted from NASA (1976).