Selective Salt Recovery from Reverse Osmosis Brine - University of ...
Selective Salt Recovery from Reverse Osmosis Brine - University of ...
Selective Salt Recovery from Reverse Osmosis Brine - University of ...
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LIST OF EQUATIONS<br />
Equation 1: Ion Exchange Reaction .....................................................................................7<br />
Equation 2: Separation Factor, α (Equivalent based) ..........................................................9<br />
Equation 3: Ion Exchange Chemical Reaction ....................................................................9<br />
Equation 4: Selectivity Coefficient ......................................................................................9<br />
Equation 5: Conversion Between Separation Factor and Selectivity Coefficient ...............9<br />
Equation 6: Gibbs Energy Calculation for Ion Exchange Reaction ..................................12<br />
Equation 7: Calculation <strong>of</strong> Chemical Potential for Ions in Solution Phase .......................12<br />
Equation 8: Calculation <strong>of</strong> Chemical Potential for Ions in Resin Phase............................12<br />
Equation 9:Calculation <strong>of</strong> Excess Free Energy Change ....................................................12<br />
Equation 10: Excess molar partial free energy <strong>of</strong> Ion A in Resin Phase ..........................12<br />
Equation 11: Excess molar partial free energy <strong>of</strong> Ion B in Resin Phase ...........................12<br />
Equation 12: Selectivity Function <strong>from</strong> Marina ................................................................12<br />
Equation 13: Dependence <strong>of</strong> Activity Coefficient on Water Activity ...............................12<br />
Equation 14: Water Activity as a Function <strong>of</strong> Swelling Pressure ......................................12<br />
Equation 15: Solubility Constant .......................................................................................18<br />
Equation 16: Ion Activity Product .....................................................................................18<br />
Equation 17: Saturation Index ...........................................................................................18<br />
Equation 18: Vector Equation to Solve for Solution Phase Ion Equivalents, C ................24<br />
Equation 19: Vector Equation to Solve for Resin Phase Ion Equivalents .........................24<br />
Equation 20: Conversion <strong>of</strong> Solution and Resin Phase Ion Equivalents to Concentrations24<br />
Equation 21: Equation for Segment Volume .....................................................................24<br />
Equation 22: Cumulative Time Distribution (F) and Relative Time Distribution (E) for<br />
the TIS Model ............................................................................................................25<br />
Equation 23: Resin Phase Ion Concentration (Tests 1-3) ..................................................37<br />
Equation 24: Resin Phase Ion Concentration (Test 4) .......................................................37<br />
Equation 25: Solution Phase Ion Concentration (Test 4) ...................................................37<br />
Equation 26: Solution Phase Equivalent Fraction .............................................................37<br />
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