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Appendix F  Calculations and theory 
Page F.4
Equation F.1#3b:
V.O.S. of the measured gas (pure of composition) for S.G. method 
Using: 
(
)
¸
¸
¹
·
¨
¨
©
§
+
=
C
G
G
G
C
K
C
C
K
C
*
1
*
1
1
τ
τ
Where:  
 
G
C
  = V.O.S. of the measured gas (in m/s) 
 
  
C
C
  = V.O.S. of the calibration gas (in m/s)……………………..……..{See Equation F.1#2}
 
     
τ
  = Periodic time of density transducer output signal (in 
μs)
 
       = Density transducer VOS constant 
= 2.10 * 10
4
for a 7812 Gas density transducer 
= (1.35 * 10
4
  for a 7810 Gas density transducer) 
= (2.62 * 10
4
  for a 7811 Gas density transducer) 
And:  
1
G
C
 = 
(
)
»
»
»
¼
º
«
«
«
¬
ª
¸¸
¸
¹
·
¨¨
¨
©
§
»
¼
º
«
¬
ª
+
»
¼
º
«
¬
ª
¸
¸
¹
·
¨
¨
©
§
+
+
g
c
t
SG
SG
K
K
273
*
293
*
*
1
0
0
4
3
λ
λ
ρ
Where: 
      
= Calibration temperature 
SG  
= Specific gravity 
  
 [ ] 
c
 
= For calibration gas 
 
 [ ] 
g
 
= For measured gas 
 
  
0
γ
  = Low pressure ratio of specific heats (or ‘Gamma’)………………  (See notes below) 
And:  
3
 and 
4
 are constants that must be SET into the 795x……….………(See notes below) 
Notes:
• K
3
 and K
4
 are normally taken from the calibration certificate that was issued with the gas density transducer.  
Alternatively, the following table has typical values that can be used. 
•  ‘Ideal’ values for Specific Gravity can be taken from Table F.2.  In practice, the live Specific Gravity 
measurements may be more appropriate. 
•  For a measured pure gas, a value for
0
γ  can be taken from Table F.2. 
•  For a measured composition of gas, a value for
0
γ can be taken from Table F.2 but needs to modified in 
proportion to the volumetric fraction (percentage) of each gas component. 
Table F.3: K3 and K4 Values 
Gas Composition 
Density 
K
3
K
4
Nitrogen-Methane 
10 to 60 kg/m
3
 830.222 
59.006 
Nitrogen-Methane 
60 to 200 kg/m
3
 1389.4 205.455 
Argon-Methane 
60 to 200 kg/m
3
 2186.01 
310.079