Difference between revisions of "Scaling Tendencies"
(Created page with " ===OLI Tips #39 What is a Scaling Tendency?=== A scaling tendency is the ratio of the real-solution solubility product to the thermodynamic limit based on the thermodynamic...") |
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Let’s consider a 1.0 molal NaHCO3 solution: | Let’s consider a 1.0 molal NaHCO3 solution: | ||
| − | IAP = | + | IAP = gamma.Na*m.Na*gamma.HCO3*m.HCO3 |
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Assuming Ideal Solution Activities | Assuming Ideal Solution Activities | ||
| − | + | gamma.Na = 1.0 gamma.HCO3 = 1.0 | |
| − | + | m.na = 1.0 m.HCO3 = 1.0 | |
IAP = (1.0)(1.0)(1.0)(1.0) | IAP = (1.0)(1.0)(1.0)(1.0) | ||
IAP = 1.0 | IAP = 1.0 | ||
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The Solubility Product (KSP) is the thermodynamic limit of ion availability | The Solubility Product (KSP) is the thermodynamic limit of ion availability | ||
| − | Ksp = | + | Ksp = gamma.Na*m.Na*gamma.HCO3*m.HCO3 |
KSP = 0.403780 | KSP = 0.403780 | ||
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The Scaling Tendency is then the ratio of available ions to the thermodynamic limit. | The Scaling Tendency is then the ratio of available ions to the thermodynamic limit. | ||
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ST = 1.0/0.403780 | ST = 1.0/0.403780 | ||
ST = 2.48 | ST = 2.48 | ||
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Was assuming ideal conditions valid?? | Was assuming ideal conditions valid?? | ||
The actual species concentration and activity coefficients are: | The actual species concentration and activity coefficients are: | ||
| − | + | gamma.Na = 0.598 gamma.HCO3 = 0.596 | |
| − | + | m.na = 0.894 m.HCO3 = 0.866 | |
This results in a different IAP | This results in a different IAP | ||
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ST = 0.276/0.40378 | ST = 0.276/0.40378 | ||
ST = 0.683 | ST = 0.683 | ||
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Why are the concentrations not equal to 1.0? Speciation and chemical equilibria tend to form complexes which provide a “Sink” for carbonate species. In this example: | Why are the concentrations not equal to 1.0? Speciation and chemical equilibria tend to form complexes which provide a “Sink” for carbonate species. In this example: | ||
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CO32- = 0.012 molal | CO32- = 0.012 molal | ||
NaCO3- = 0.004 molal | NaCO3- = 0.004 molal | ||
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What does the Scaling Tendency Mean? | What does the Scaling Tendency Mean? | ||
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Scaling Index = Log (ST) | Scaling Index = Log (ST) | ||
| − | The post-scaling tendency can go over 1.0 in special cases. If you have disabled a solid from forming (via the Menu Item: Chemistry: Model Options: Phases Tab) then it is possible to have a scaling tendency greater than 1.0. Also if the temperature is above a solid’s Temperature Range (TRANGE) then it can also be above 1.0. Please refer to the TRANGE support tip. | + | The post-scaling tendency can go over 1.0 in special cases. If you have disabled a solid from forming (via the Menu Item: Chemistry: Model Options: Phases Tab) then it is possible to have a scaling tendency greater than 1.0. Also if the temperature is above a solid’s Temperature Range ('''TRANGE''') then it can also be above 1.0. Please refer to the TRANGE support tip. |
Revision as of 14:35, 14 January 2014
OLI Tips #39 What is a Scaling Tendency?
A scaling tendency is the ratio of the real-solution solubility product to the thermodynamic limit based on the thermodynamic equilibrium constant.
For the usage of the term in the software, it is defined as
Definition for Pre-Scaling tendencies: They are scaling tendencies of a solid before we permit any other solid phases to appear, i.e. before we allow solids to form. This measure acts as if other solids do not exist. The common ion effect is not considered while these tendencies are calculated.
Post –Scaling tendencies: Effect of common ions is considered. These tendencies are calculated after solids are formed. Technically the scaling tendencies which you see in the plot in analyzers are these post scaling tendencies.
Pre-scaling tendency is the same formula except for a situation when solids are not allowed to form. The mass transfer between LIQ phase to SOL is not considered while calculating these values. That is the only way to predict 'pre-scaling' tendencies.
For Example, Consider this dissolution
NaHCO3(s) = Na+ + HCO3-
The Ion Activity Product (IAP) is defined as the product of specific ions (in this case the ions resulting from the dissociation of a particular solid).
Let’s consider a 1.0 molal NaHCO3 solution:
IAP = gamma.Na*m.Na*gamma.HCO3*m.HCO3
Assuming Ideal Solution Activities
gamma.Na = 1.0 gamma.HCO3 = 1.0
m.na = 1.0 m.HCO3 = 1.0
IAP = (1.0)(1.0)(1.0)(1.0)
IAP = 1.0
The Solubility Product (KSP) is the thermodynamic limit of ion availability
Ksp = gamma.Na*m.Na*gamma.HCO3*m.HCO3
KSP = 0.403780
The Scaling Tendency is then the ratio of available ions to the thermodynamic limit.
ST = IAP/KSP ST = 1.0/0.403780 ST = 2.48
Was assuming ideal conditions valid??
The actual species concentration and activity coefficients are: gamma.Na = 0.598 gamma.HCO3 = 0.596 m.na = 0.894 m.HCO3 = 0.866
This results in a different IAP
IAP= (0.598)(0.894)(0.596)(0.866) IAP=0.276
The new Scaling Tendency is therefore:
ST = IAP/Ksp ST = 0.276/0.40378 ST = 0.683
Why are the concentrations not equal to 1.0? Speciation and chemical equilibria tend to form complexes which provide a “Sink” for carbonate species. In this example:
CO2o = 0.016 molal NaHCO3o = 0.101 molal CO32- = 0.012 molal NaCO3- = 0.004 molal
What does the Scaling Tendency Mean?
If ST < 1, then the solid is under-saturated If ST > 1, then the solid is super-saturated If ST = 1, then the solid is at saturation Scaling Index = Log (ST)
The post-scaling tendency can go over 1.0 in special cases. If you have disabled a solid from forming (via the Menu Item: Chemistry: Model Options: Phases Tab) then it is possible to have a scaling tendency greater than 1.0. Also if the temperature is above a solid’s Temperature Range (TRANGE) then it can also be above 1.0. Please refer to the TRANGE support tip.
