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Appendix E Data tables
Page E.6
For practical purposes, when the liquid volume changes from
0
V to
1
V as the gauge pressure changes from
zero (atmospheric) to
1
P , the above equation is simplified to:
T
1
1
0
P
V
V
1
»
¼
º
«
¬
ª
∂
−=β
ISO Document TC 28/SC3/N248, (Generation of New Compressibility Tables for International Use) gives the
following equations relating
β
to the compressibility data:
ρ−ρ−+=
eee
logT0161654.0log02909.3T00343804.038315.1Clog
and
16
bar10C
−
××=β
Where: T = oil temperature in °C
r = oil density in kg/litre at 15°C
The new equation (from the
API Manual of Petroleum Measurement Standards, Chapter 11.2.1M) gives (after
converting to units of kg/m and bar):
1
10t2092.41087096.0
t00021592.062080.1
4
bare10
15
2
3
15
2
6
−
¸
¸
¹
·
¨
¨
©
§
ρ
××
+
ρ
×
+×+−
−
=β
Where: T = temperature in °C
r
15
= density (in kg/m
3
) at 15°C and at atmospheric pressure
This equation is valid for the density range of 638 kg/m
3
to 1074 kg/m
3
. For a density range of 350 kg/m
3
to 637
kg/m
3
refer to Chapter 11.2.2M in the API Manual.
Velocity of sound in liquids
The velocity of sound in dilational waves in unbound fluids is given by:
()
2
1
a
c
−
ρβ=
Where:
c
= velocity of sound
a
β
= adiabatic compressibility
ρ
= density