International one-atmosphere equation of state of seawater
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The density measurements by Millero, Gonzalez and Ward (1976, Journal of Marine Research,34, 61–93) and Poisson, Brunet and Brun-Cottan (1980, Deep-Sea Research, 27, 1013–1028), from 0 to 40°C and 0.5 to 43 salinity, have been used to determine a new 1-atm equation of state for seawater. The equation is of the form (t°C; S; ϱ kg m−3)
ρ=ρ0+AS+BS32+CS
, where
A=8.24493×10−1−4.0899×10−3t+7.6438×10−5t2−8.2467×10−7t3+5.3875×10−9t4
B=−5.72466×10−3+1.0227×10−4t−1.6546×10−6t2
C=4.8314×10−4
and ϱ0 is the density of water (Bigg, 1967, British Journal of Applied Physics, 8, 521–537).
ρ0=999.842594+6.793952×10−2t−9.095290×−3t2+1.001685×10−4t3−1.120083×10−6t4+6.536336×10−9t5
. The standard error of the equation is 3.6 × 10−3 kg m−3. This equation will become the new 1-atm equation of state of seawater that has been suggested for use by the UNESCO (United Nations Educational, Scientific and Cultural Organization) joint panel on oceanographic tables and standards.
[1] P. H. Bigg. Density of water in SI units over the range 0-40°C , 1967 .
[2] A. Poisson,et al. Density of standard seawater solutions at atmospheric pressure , 1980 .
[3] Frank J. Millero,et al. A new high pressure equation of state for seawater , 1980 .
[4] F. Millero,et al. DENSITY OF SEAWATER SOLUTIONS AT ONE ATMOSPHERE AS A FUNCTION OF TEMPERATURE AND SALINITY. , 1976 .