apy gravity.docx
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AmericanpetroleumInstitute's invertedscalefor denoting the 'lightness' or 'heaviness' ofcrude
oilsand otherliquidhydrocarbons. Calibrated inAPI degrees(ordegreesAPI), it is used
universally to expresses a crude'srelative densityin an inversemeasurelighter the crude, higher
the API gravity, and vice versa because lighter the crude higher itsmarket value.Oilwith APIgreater than 30 is termed light; between 22 and 30, medium; below 22, heavy; and below 10,
extra heavy.Asphaltonaveragehas an API gravity of 8,Brent Crudeof 35.5, andgasolineof50.Formula: {(141.5 relative density of the crude (at 15.5C or 60F)} - 131.5.
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Density of Fluids - Changing Pressure and
Temperature
Calculating density of fluids when changing pressure andtemperature
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The density of a fluid changes with temperature and pressure. The density of water versustemperature and pressure is indicated in the chart below:
Density and change in Temperature
When temperature is changed the density of a fluid can be expressed as
http://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.htmlhttp://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.htmlhttp://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.htmlhttp://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.htmlhttp://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.htmlhttp://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.html -
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1= 0/ (1 + (t1 - t0)) (1)
where
1 = final density (kg/m3)
0 = initial density (kg/m3)
= volumetric temperature expansion coefficient (m3/m
3 oC)
t1 = final temperature (oC)
t0 = initial temperature (oC)
Volumetric Temperature Coefficients -
water: 0.0002 (m
3
/m
3 o
C) at 20
o
C ethyl alcohol : 0.0011 (m3/m3 oC)
Note! - volumetric temperature coefficients varies strongly with temperature.
Density and change in Pressure
When pressure is changed the density of a fluid can be expressed as
1= 0 / (1 - (p1 - p0) / E) (2)
where
E = bulk modulus fluid elasticity (N/m2)
1 = final density (kg/m3)
0 = initial density (kg/m3)
p1 = final pressure (N/m2)
p0 = initial pressure (N/m2)
Bulk Modulus Fluid Elasticity some common Fluids - E
water : 2.15 109 (N/m2) ethyl alcohol : 1.06 109 (N/m2) oil : 1.5 109 (N/m2)
Density of a fluid changing both Temperature and Pressure
http://www.engineeringtoolbox.com/water-thermal-properties-d_162.htmlhttp://www.engineeringtoolbox.com/bulk-modulus-elasticity-d_585.htmlhttp://www.engineeringtoolbox.com/bulk-modulus-elasticity-d_585.htmlhttp://www.engineeringtoolbox.com/water-thermal-properties-d_162.html -
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The density of a fluid when changing both temperature and pressure can be expressed with (1)
and (2) by substituting0 in eq. 2 with the expression for1in eq. 1.
1 =1(from eq.1) / (1 - (p1 - p0) / E)
=0/ (1 + (t1 - t0)) / (1 - (p1 - p0) / E) (3)
Example - Density of Water at 100 bar and 20oC
density of water 0oC: 999.8 (kg/m3) expansion coefficent of water at 10oC: 0.000088 (m3/m3oC) (average value between 0 and
20oC)
bulk modulus of water: 2.15 109 (N/m2)Density of water can be calculated with (3):
1 = 999.8 (kg/m3
) / (1 + 0.000088 (m3
/m3o
C) (20 (o
C) - 0 (o
C))) / (1 - (100 105
(Pa) - 110
5(Pa)) / 2.15 10
9(N/m
2))
= 998.0 / 0.995
= 1002.7 (kg/m3)