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GPS-X Technical Reference

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Tools Object 340<br />

The dissociation constants used in these equations can also be input on the control form<br />

shown in Figure 12-2. The default dissociation constants are taken from the literature.<br />

The ammonium dissociation constant is corrected for temperature.<br />

To properly reflect the presence/absence of added alkalinity (lime addition, etc.) the<br />

alkalinity state variable salk is assumed to be all carbonate alkalinity that is available (and<br />

completely dissociated) for acid neutralization.<br />

In the above equations, totalCO 2 is the total CO 2 available (converted to equivalent<br />

charge). Because the alkalinity is assumed to be in the form of completely dissociated<br />

CaCO 3, a 2+ charge cation is also assumed present in the equilibrium system.<br />

The above equations are combined with the charge balance shown below:<br />

Equation 12.7<br />

An implicit nonlinear equation solver is used to solve this system of equations for [H+].<br />

The calculated pH values are bounded by the low bound and high bound parameters<br />

shown in Figure 12-1.<br />

Once the solution is complete and the concentrations of the ionized components have<br />

been calculated, the concentrations of the non-ionized components are calculated from<br />

the speciation equation shown above.<br />

The calculated pH and the concentrations of the individual components can be displayed<br />

on an output form similar to that shown in Figure 12-3. This pH model is also used in<br />

the HPO (High Purity Oxygen) object for pH estimation.<br />

Figure 12-3 – Sample pH Outputs<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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