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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} = C_{1}/T + C_{2} + C_{3}T + C_{4}T^{2} + C_{5}T^{3} + C_{6}T^{4} + C_{7} 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

*C _{1}* = –1.0214165 E+04

*C*= –4.8932428 E+00

_{2}*C*= –5.3765794 E–03

_{3}*C*= 1.9202377 E–07

_{4}*C*= 3.5575832 E–10

_{5}*C*= –9.0344688 E–14

_{6}*C*= 4.1635019 E+00

_{7}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:

- 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).