User Guide
24
This reduces to: P
a 
V
a 
/
Z
a 
T
a
 = P
s 
V
s 
/
Z
s 
T
s 
, eliminating R and n.
Our mass ow meters model gas ows based upon the non-ideal gas characteristics of the calibrated 
gas.  The ow corrections are normally made to 25 C and 14.696 PSIA and the compressibility factor 
of the gas under those conditions. This allows the user to multiply the mass ow rate by the density of 
the real gas at those standard conditions to get the mass ow rate in grams per minute.
Because  we  incorporate  the  compressibility  factor  into  our  ‘full  gas  model’;  attempts  to  manually 
compute mass ows from only the P, V, and T values shown on the display will sometimes result in 
modest errors. 
Note: Although the correct units for mass are expressed in grams, kilograms, etc. it has become standard 
that mass ow rate is specied in SLPM (standard liters / minute), SCCM (standard cubic centimeters 
/ minute) or SmL/M (standard milliliters / minute).
This means that mass ow rate is calculated by normalizing the volumetric ow rate to some standard 
temperature and pressure (STP). By knowing the density at that STP, one can determine the mass ow 
rate in grams per minute, kilograms per hour, etc.
STP  is  usually  specied  as  the  sea  level  conditions;  however,  no  single  standard  exists  for  this 
convention. Examples of common reference conditions include:
        0°C  and  14.696 PSIA
        25°C  and  14.696 PSIA
        0°C  and  760 torr (mmHG)
        70°F  and  14.696 PSIA
        68°F  and  29.92 inHG
        20°C  and  760 torr (mmHG)
M Series Flow Meters reference 25ºC and14.696 PSIA (101.32kPa) - unless ordered otherwise. 
Refer to the calibration sheet to conrm the reference point.
Standard  Gas  Data  Tables:  We  have  incorporated  the  latest  data  sets  from  NIST (including  their 
REFPROP 7 data) in our products’ built-in gas property models.  Be aware that calibrators that you may 
be spot checking against may be using older data sets such as the widely distributed Air Liquide data. 
This may generate apparent calibration discrepancies of up to 0.6% of reading on well behaved gases 
and as much as 3% of reading on some gases such as propane and butane, unless the standard was 
directly calibrated on the gas in question. As the older standards are phased out of the industry, this 
difference in readings will cease to be a problem. If you see a difference between the meter and your in-
house standard, in addition to calling Apex, call the manufacturer of your standard for clarication as to 
which data set they used in their calibration. This comparison will in all likelihood resolve the problem.










