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CALCULATING EXPECTED GPD/LPD FROM THE REVERSE OSMOSIS RO MEMBRANE
Membranes produce the rated gallons per day (GPD) at 60 psi (4.1 bars) operating pressure, 77°F (25°C) operating temperature
and 500 ppm total dissolved solids. Membrane output gallons per day (GPD) depends on operating pressure, water temperature
and the ppm TDS in the feed water.
Expected GPD = Rated GPD × PCF × TCF × OCF
where PCF is the pressure correction factor, TCF is the temperature correction factor and OCF is the osmotic correction factor.
1. Calculation of PCF:
The output GPD from the membrane are directly proportional to the applied pressure. Note: The membrane is rated to produce
the rated GPD at 60 psi. For any pressure other than 60 psi the output GPD is multiplied by the PCF (Pressure correction factor).
PCF = Pressure available (in psi) ÷ 60
2. Calculation of TCF:
The output GPD also decreases with decrease in temperature. This is because the water viscosity increases with decrease in
water temperature. The GPD increases by approximately 3% for every °C rise in temperature. (Refer to the following table for
TCF values).
Table 1: Temperature Correction Factors (TCF)
°F (°C) TCF °F (°C) TCF °F (°C) TCF
41.0 (5) 0.521 59.0(15) 0.730 77.0 (25) 1.000
42.8 (6) 0.540 60.8 (16) 0.754 78.8 (26) 1.031
44.6 (7) 0.560 62.6 (17) 0.779 80.6 (27) 1.063
46.4 (8) 0.578 64.4 (18) 0.804 82.4 (28) 1.094
48.2 (9) 0.598 66.2 (19) 0.830 84.2 (29) 1.127
50.0 (10) 0.620 68.0 (20) 0.857 86.0 (30) 1.161
51.8 (11) 0.640 69.8 (21) 0.884 87.8 (31) 1.196
53.6 (12) 0.661 71.6 (22) 0.912 89.6 (32) 1.232
55.4 (13) 0.684 73.4 (23) 0.941 91.4 (33) 1.267
57.2 (14) 0.707 75.2 (24) 0.970 93.2 (34) 1.304
3. Calculation of OCF:
The output GPD of the system decreases with an increase in ppm TDS of tap water. This is because the osmotic pressure increases
with increase in ppm TDS, and the increased osmotic pressure reduces the net driving force for pure water passage through
the membrane. The osmotic pressure is approximately 1 psi for every 100 ppm TDS.
Note: Generally speaking, the effect of osmotic pressure can be neglected for most tap water supplies and the OCF can be assumed
to be 1.
Example: What is the expected GPD from a 50 GPD CHP system at 40 psi pressure and 60°F water temperature?
PCF = 40 ÷ 60 = 0.666
TCF = 0.754 (from Table 1)
OCF = 1
Expected GPD = 50 x 0.666 x 0.754 x 1 = 25.10 GPD
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About Reverse Osmosis
What is reverse osmosis? reverse osmosis is the process of water flow through a semipermeable membrane that does not allow
penetration of salts or other dissolved materials this is when two channels of water are separated by a semipermeable membrane.
Water will flow from the side of Low solute concentration to the side of higher solute concentration. If there are solute
molecules only on one side of the system the pressure that stops the flow is called osmotic pressure. The solute molecules
generate osmotic pressure on all the solution boundaries including the membrane, but when water flows between the two sides,it
is the pressure on the moving free surface of the solution which is pushing it upward and is responsible for water pumping
from the other side. More RO diagrams and details
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