Table A2
123
At base conditions
of °C & bars
At sample gas conditions of °C & bars
Gas
Type
Mol.
Mass
M
γ
at sample
conds.
4
Z
s
5
ρ
s
true
6
V
F
7
Z
8
Z
F
9
E
F
10
Δ
F
%
11
E
1
12
Δ
1
%
13
E
2
14
Δ
2
%
15
ρ
s
ind.
Cal
methane
16.04 1.32 0.9977
X
0.7171
0.9916 0.9876 0.9899
x
0.9816
1.84
x
0.9816
0
x
0.9816
0
X
0.7171
Cal
Nitrogen
28.01 1.41 0.9995
Y
1.2500
0.9862 0.9983 0.9988
y
0.9850
1.50
y
0.9850
0
E
2y
0.9712
-1.38
Y’
1.2328
Sample
A
16.96 1.32 0.9976
A
0.7583
0.9911 0.9871 0.9895
a
0.9807
1.93
E
1a
0.9820
0.13
E
2a
0.9803
-0.04
A’
0.7580
Sample
B
17.32 1.32 0.9977
B
0.7743
0.9909 0.9873 0.9896
b
0.9806
1.94
E
1b
0.9822
0.16
E
2b
0.9798
-0.08
B’
0.7737
Sample
C
19.28 1.30 0.9972
C
0.8624
0.9897 0.9849 0.9877
c
0.9775
2.25
E
1c
0.9829
0.54
c
0.9775
0
C’
0.8624
Column 2: Data is derived from page x.x or other suitable tables.
Column 3: Data is interpolated from Gas Tables (e.g. IUPAC) at SAMPLE GAS conditions.
Column 4: Data is interpolated from Gas Tables (e.g. IUPAC) at BASE GAS conditions.
Column 5: Calculated using
ρ
s
s
ss
PM
xT xZ
=
00831434.
Column 6: Calculated using V
M
x
F
=−1 0000695
γ
.
Column 7: Calculated using Z=1-0.000238P for Nitrogen.
Z=1+P(0.00017+6E-05xM-1.13E-05xM²+7.2E-03x
I) for CH
4
P is pressure in bars absolute,
I is volume/mole fraction of inert gases
Column 8: Calculated using Z
F
= Col 7 / Col 4
Column 9: Calculated using E
F
= Col 6 x Col 8
Column 10: Calculated using
Δ
F
%= (1-Col 9)x100%
Column 11: E
1
= x or y or calculated for E
1a
,E
1b
or E
1c
(see Eqn. A10)
Column 12: Calculated using
Δ
1
%= (Col 11-Col 9)x100%
Column 13: E
1
= x or c or calculated for E
2y
,E
2a
or E
2b
(see Eqn. A11)
Column 14: Calculated using
Δ
2
%= (Col 13-Col 9)x100%
Column 15: Calculated using
ρ
s
ind
x=
+100
100
Col 14
Col 5
Eqn. A10
E
Xx
A
AXY y X x
AY X
a1
1
1
11
=−
−
−
−−−−
−
()
()[()()]
()
E
Xx
B
BXY y X x
BY X
b1
1
111
=−
−
−
−−−−
−
()( )[()()]
()
E
Xx
C
CXY y X x
CY X
c1
1
1
11
=−
−
−
−−−−
−
()
()[()()]
()
Eqn. A11
E
Xx
Y
YXC c X x
YC X
y2
1
111
=−
−
−
−−−−
−
()( )[()()]
()
E
Xx
A
AXC c X x
AC X
a2
1
111
=−
−
−
−−−−
−
()( )[()()]
()
E
Xx
B
BXC c X x
BC X
b2
1
111
=−
−
−
−−−−
−
()( )[()()]
()
Note: Use Eqn. A10 with methane/Nitrogen reference gases, Eqn. A11 for methane/sample gas C
as references