Brooks Instrument 5860E - Manual (Page 28)

4-6
Installation and Operation Manual
X-TMF-5860E-MFM-eng
Part Number: 541B106AAG
November, 2008 Brooks ® Model 5860E
Section 4 Maintenance
4-5 Use of the Conversion Tables
If a mass flowmeter is operated on a gas other than the gas it was
calibrated with, a scale shift will occur in the relationship between the
output signal and the mass flow rate. This is due to the difference in heat
capacities between the two gases. This scale shift can be approximated by
using the ratio of the molar specific heat of the two gases, or sensor
conversion factor. A list of sensor conversion factors is given in Table 4-3.
To change to a new gas, multiply the output reading by the ratio of the gas
factor for the desired gas to the gas factor for the calibration gas.
Actual gas = Output x factor of the new gas
flow rate reading factor of the calibrated gas
Example:
The flowmeter is calibrated for Nitrogen.
The desired gas is Carbon Dioxide.
The output reading is 75 sccm when Carbon Dioxide is flowing.
Then 75 x 0.78 = 58.50 sccm
In order to calculate the conversion factor for a gas mixture, the following
formula should be used:
Where,
P1 = percentage (%) of gas 1 (by volume)
P2 = percentage (%) of gas 2 (by volume)
Pn = percentage (%) of gas n (by volume)
Example: The desired gas is 20% Helium (He) and 80% Chlorine
(Cl) by volume. The desired full scale flow rate of the mixture is 20
slpm.
Sensor conversion factor for the mixture is:
Air equivalent flow = 20/.903 = 22.15 slpm air
It is generally accepted that the mass flow rate derived from this equation
is only accurate to ±5%. The sensor conversion factors given in Table 4-3
are calculated based on a gas temperature of 21°C and a pressure of one
atmosphere. The specific heat of most gases are not strongly pressure and
temperature dependent, however gas conditions that vary widely from
these reference conditions may cause an additional error due to the
change in specific heat due to temperature and/or pressure.