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How to Correct for Different Gases
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Performance for steam-air eductors is determined
by tests using gases of a specific molecular weight and temperature.
The term Dry Air Equivalent (DAE) is a way of presenting
data so that corrections can be made for temperature and molecular
weight. The actual gas being pumped will generally be at some
temperature and composition other than air at 70°F. As it
is not practical to maintain testing facilities for an infinite
number of gases and temperatures of those gases, the method described
here has been devised to correct all gases to a standard set
of conditions. This allows eductors to be designed under given
circumstances, then applied to the actual process conditions
they will work under.
This method is described by the Heat Exchange Institute HEI
in the book "Standards for Steam Jet Vacuum Systems, Fourth
Edition 1988" and is synopsized below. If a more detailed
explanation is needed, please refer to the previously mentioned
publication.
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Calculating average molecular weight of the mixture
and finding correction factors |
This method deals with the gases in terms of weight
of flow in a given period of time. The most commonly used is
Lb (of gas)/Hr. To proceed, the units of each gas component should
be converted to Lb/Hr. (Conversion Factors for several different
units are found on the back cover of this brochure.) Water vapor
(steam) is handled as a separate component in this calculation
because the temperature correction factor is different for
condensable gases.
To find the average molecular weight for the gas components,
take the Lb/Hr flow for each gas component and divide it by the
molecular weight of that component. This will result in
the number of moles of each component. Then add together
the Lb/Hr flows of each component (except the water vapor).
This
will result in the total Lb/Hr flow of gas to be pumped. Then
add together the total moles of each component. The result
will be the total moles of gas to be pumped. Finally, divide
the total Lb/Hr flow to be pumped by the total moles to be pumped.
The result will be the average molecular weight of the mixture.
The average molecular weight of the mixture is then used to
obtain a gas weight correction factor from the Molecular
Weight Entrainment Ratio Table.
The correction factor of the water vapor is obtained by reading
the correction factor from the "Molecular Weight Entrainment
Ratio Table."
For the more common gases the molecular weight of each component
may be obtained from this page. If your gas is not here, you
can calculate it by adding the weight of the atoms of each element
in the gas. (Then if the gas is diatomic, multiply by 2, etc.)
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Finding Temperature Correction Factors |
Go to the "Temperature Entrainment Ratio Table" on
page 9 and find the temperature of the suction gas. From the table,
obtain the temperature correction factors for gas and steam. These
will be put into the correction calculation. |
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Final Correction Formula |
Take the total flow rate (Lb/Hr) of the gases
to be pumped minus the flow rate (Lb/HT) of the water vapor,
divide this by the gas flow rate (Lb/Hr) correction factor times
the gas temperature correction factor. The result will be the
non-condensable gas load for the ejector.
Then take the weight of the water vapor, divide it by the molecular
weight correction factor times the temperature correction factor
for steam.
Then add the results of these two calculations
together. The final result will be the total gas load Lb/HT
required of the eductor in Dry Air Equivalent. This number is
used as the desired suction flow (Qs) in the table.
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Example: |
50 Lb/Hr of a mixed gas and steam at a temperature
of 300°F contains 15 Lb/Hr of 0 2,10 Lb/Hr of Air, 5 Lb/Hr
of H 2, 5 Lb/HT Of CO 2, and 15 Lb/Hr of steam.
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The molecular weights of these gases are as follows: |
O2 = 32 Lb/Mole |
Air = 29 Lb/Mole |
H2 = 2 Lb/Mole |
CO2 = 44 Lb/Mole |
H2O = 18 Lb/Mole |
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To find the moles of gas per Hr take the actual flow
and divide by the Lb/mole |
15 Lb/Hr of 0 2/32 Lb/Mole = 0.469 Moles/Hr 0 2 |
10 Lb/Hr of Air/29 Lb/Mole = 0.345 Moles Hr Air |
5 Lb/Hr of H 2/2 Lb/Mole = 2.500 Moles/Hr H 2 |
5 Lb/Hr of C0 2/44 Lb/Mole = 0.114 Moles/Hr C0 2 |
(15 + 10 + 5 +5)/(0.469 + 0.345 + 2.50 + 0.114) =10.21
Average Mole Weight of mixed gases |
Gas Molecular Weight Correction Factor for 10.21=
0.61 (by interpolation) Steam Molecular Weight Correction Factor
for 18 = 0.81 (by interpolation) Temperature Correction Factor
for Gases at 300°F = 0.945 |
Temperature Correction Factor for Steam At 300°F
= 0.925 |
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Final Calculation of Example: |
((15 + 10 + 5 + 5)/(0.61 x 0.945)) + (15/(0.81 x
0.925)) = 80.74 Lb/Hr Dry Air Equivalent. |
To choose the correct eductor, pick a unit that will pump 80.74
Lb/Hr of DAE at your desired suction pressure. |
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Note: Gases with low molecular weight will
cause the DAE to be higher than the actual weight being pumped.
It is imperative the actual DAE be calculated for gases containing
these low molecular weight gases. |
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