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Density of Water

The document describes the density of water as a function of temperature and salinity concentration. It provides equations to calculate water density based on temperature alone or both temperature and salinity concentration. Graphs are also included showing trends in density at different temperatures and concentrations.

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Jean Pajuelo
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421 views5 pages

Density of Water

The document describes the density of water as a function of temperature and salinity concentration. It provides equations to calculate water density based on temperature alone or both temperature and salinity concentration. Graphs are also included showing trends in density at different temperatures and concentrations.

Uploaded by

Jean Pajuelo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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Water density as function of temperature and concentration

McCutcheon, S.C., Martin, J.L, Barnwell, T.O. Jr. 1993. Water


Quality in Maidment, D.R. (Editor). Handbood of Hydrology,
McGraw-Hill, New York, NY (p. 11.3 )

Enter temperature (T) and


Water density as a function of temperature only concentration (Rho)
rho = density in kg/m^3 as a function of temperature
T = temperature in C T 4
rho = 1000(1 - (T+288.9414)/(508929.2*(T+68.12963))*(T-3.9863)^2) Rho 1,000.000

Water density as a function of temperature and salinity


rhos = density in kg/m^3 as a function of temperature and salinity
S = salinity in g/kg S 100
rhos = rho + AS + BS^(3/2) + CS^2 Rhos 1,080.421
A = 8.24493E-1 - 4.0899E-3*T + 7.6438E-5*T^2 -8.2467E-7*T^3 + 5.3675E-9*T^4 A 0.809305
B = -5.724E-3 + 1.0227E-4*T - 1.6546E-6*T^2 B -0.0053414
C = 4.8314E-4

Source: www.earthwardconsulting.com/density.xls
mperature (T) and
ation (Rho)

(Deg. C)
(kg/m^3)

(gm/kg)
(kg/m^3)
Density versus Concentration

1100.0

Temp = 10 Deg. C
1080.0
Temp = 20 Deg. C
Density (kg/m^3)

Temp = 30 Deg. C

1060.0 Temp = 40 Deg. C

1040.0

1020.0

1000.0

980.0

960.0

940.0
0 20,000 40,000 60,000 80,000 100,000 120,000
Concentration (mg/kg)
Density versus Temperature

1100.0

1080.0
Density (kg/m^3)

1060.0
Conc = 100 mg/kg
Conc = 0 mg/kg
1040.0 Conc = 1000 mg/kg
Conc = 10000 mg/kg
Conc = 100000 mg/kg

1020.0

1000.0

980.0

960.0

940.0
5 10 15 20 25 30 35 40 45 50 55
Temperature (Deg. C)
T S Rhos(T,S) Rho(T) S A B Labels
(Deg. C) (mg/kg) (kg/m^3) (kg/m^3) (gm/kg)
10 0 999.728 999.728 0 0.7904668 -0.004867 Conc = 0 mg/kg
20 0 998.234 998.234 0 0.7675316 -0.00434 Conc = 0 mg/kg
30 0 995.678 995.678 0 0.7526718 -0.004145 Conc = 0 mg/kg
40 0 992.247 992.247 0 0.7441597 -0.004281 Conc = 0 mg/kg
50 0 988.063 988.063 0 0.7415561 -0.004747 Conc = 0 mg/kg
10 100 999.807 999.728 0.1 0.7904668 -0.004867 Conc = 100 mg/kg
20 100 998.310 998.234 0.1 0.7675316 -0.00434 Conc = 100 mg/kg
30 100 995.753 995.678 0.1 0.7526718 -0.004145 Conc = 100 mg/kg
40 100 992.322 992.247 0.1 0.7441597 -0.004281 Conc = 100 mg/kg
50 100 988.137 988.063 0.1 0.7415561 -0.004747 Conc = 100 mg/kg
10 1,000 1000.514 999.728 1 0.7904668 -0.004867 Conc = 1000 mg/kg
20 1,000 998.997 998.234 1 0.7675316 -0.00434 Conc = 1000 mg/kg
30 1,000 996.427 995.678 1 0.7526718 -0.004145 Conc = 1000 mg/kg
40 1,000 992.988 992.247 1 0.7441597 -0.004281 Conc = 1000 mg/kg
50 1,000 988.801 988.063 1 0.7415561 -0.004747 Conc = 1000 mg/kg
10 10,000 1007.527 999.728 10 0.7904668 -0.004867 Conc = 10000 mg/kg
20 10,000 1005.820 998.234 10 0.7675316 -0.00434 Conc = 10000 mg/kg
30 10,000 1003.122 995.678 10 0.7526718 -0.004145 Conc = 10000 mg/kg
40 10,000 999.602 992.247 10 0.7441597 -0.004281 Conc = 10000 mg/kg
50 10,000 995.377 988.063 10 0.7415561 -0.004747 Conc = 10000 mg/kg
10 100,000 1078.739 999.728 100 0.7904668 -0.004867 Conc = 100000 mg/kg
20 100,000 1075.478 998.234 100 0.7675316 -0.00434 Conc = 100000 mg/kg
30 100,000 1071.632 995.678 100 0.7526718 -0.004145 Conc = 100000 mg/kg
40 100,000 1067.214 992.247 100 0.7441597 -0.004281 Conc = 100000 mg/kg
50 100,000 1062.303 988.063 100 0.7415561 -0.004747 Conc = 100000 mg/kg

10 0 999.728 999.728 0 0.7904668 -0.004867 Temp = 10 Deg. C


10 100 999.807 999.728 0.1 0.7904668 -0.004867 Temp = 10 Deg. C
10 1,000 1000.514 999.728 1 0.7904668 -0.004867 Temp = 10 Deg. C
10 10,000 1007.527 999.728 10 0.7904668 -0.004867 Temp = 10 Deg. C
10 100,000 1078.739 999.728 100 0.7904668 -0.004867 Temp = 10 Deg. C
20 0 998.234 998.234 0 0.7675316 -0.00434 Temp = 20 Deg. C
20 100 998.310 998.234 0.1 0.7675316 -0.00434 Temp = 20 Deg. C
20 1,000 998.997 998.234 1 0.7675316 -0.00434 Temp = 20 Deg. C
20 10,000 1005.820 998.234 10 0.7675316 -0.00434 Temp = 20 Deg. C
20 100,000 1075.478 998.234 100 0.7675316 -0.00434 Temp = 20 Deg. C
30 0 995.678 995.678 0 0.7526718 -0.004145 Temp = 30 Deg. C
30 100 995.753 995.678 0.1 0.7526718 -0.004145 Temp = 30 Deg. C
30 1,000 996.427 995.678 1 0.7526718 -0.004145 Temp = 30 Deg. C
30 10,000 1003.122 995.678 10 0.7526718 -0.004145 Temp = 30 Deg. C
30 100,000 1071.632 995.678 100 0.7526718 -0.004145 Temp = 30 Deg. C
40 0 992.247 992.247 0 0.7441597 -0.004281 Temp = 40 Deg. C
40 100 992.322 992.247 0.1 0.7441597 -0.004281 Temp = 40 Deg. C
40 1,000 992.988 992.247 1 0.7441597 -0.004281 Temp = 40 Deg. C
40 10,000 999.602 992.247 10 0.7441597 -0.004281 Temp = 40 Deg. C
40 100,000 1067.214 992.247 100 0.7441597 -0.004281 Temp = 40 Deg. C

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