Open AccessMethods for Computing the Boiling Temperature of Water at Varying Pressures
Author(s) -
Sam Miller
Publication year - 2017
Publication title -
bulletin of the american meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.367
H-Index - 197
eISSN - 1520-0477
pISSN - 0003-0007
DOI - 10.1175/bams-d-16-0174.1
Subject(s) - boiling , vaporization , boiling point , thermodynamics , evaporation , vapor pressure , latent heat , atmospheric pressure , polynomial , error function , chemistry , mathematics , meteorology , physics , mathematical analysis , algorithm
Boiling is an extreme form of evaporation that occurs when the saturation vapor pressure is equal to the total atmospheric pressure. This paper computes boiling temperature by four different methods and compares the results to data provided in the CRC Handbook of Physics and Chemistry. The first method utilizes a constant value for the latent heat of vaporization (lυ) in the Clausius–Clapeyron equation, and the second method uses a previously published temperature-dependent linear function for lυ. A third method is suggested that begins by deriving a new second-order function for lυ, and then applies this function in an error-reduction loop to determine boiling temperature as a function of pressure. This method for computing boiling temperature shows a mean bias of 0.31°C between mean sea level pressure and 100 hPa and a mean error of less than a tenth of a percent, which is a significant improvement over both of the first two methods. The fourth method uses a fifth-order polynomial, eliminating lυ and making pressure the independent variable, which is used to compute boiling temperature with a mean bias of 0.25°C and a mean error of 0.09% for pressures between mean sea level pressure and 100 hPa.