Supersaturation based on activities of Species A and B Calculator

✖Activity of Specie A is a thermodynamic measure that takes into account the effective concentration or "activity" of a species in a non-ideal solution.ⓘ Activity of Specie A [a_A]			+10% -10%
✖Stochiometric Value for A is the the number of moles of the cation, M, produced when one mole of the ionic compound AxBy(s), dissolves in water.ⓘ Stochiometric Value for A [x]			+10% -10%
✖Activity of Specie B is a thermodynamic measure that takes into account the effective concentration or "activity" of a species in a non-ideal solution.ⓘ Activity of Specie B [a_B]			+10% -10%
✖Stochiometric Value for B is defined as the number of moles of the Anion B produced when one mole of the ionic compound, AxBy(s), dissolves in water.ⓘ Stochiometric Value for B [y]			+10% -10%
✖Solubility product for Activity represents the equilibrium between a sparingly soluble ionic compound and its dissociated ions in a saturated solution at a specific temperature.ⓘ Solubility Product for Activity [K_a]			+10% -10%

✖Supersaturation Ratio quantifies how much a solution exceeds its equilibrium solubility with respect to a particular solute at a given temperature and pressure.ⓘ Supersaturation based on activities of Species A and B [S]

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Supersaturation based on activities of Species A and B

Formula

`"S" = (("a"_{"A"}^"x")*(("a"_{"B"}^"y"))/"K"_{"a"})^(1/("x"+"y"))`

Example

`"1.331551"=((("0.1185mol/m³")^"4")*((("1.002645mol/m³")^"3"))/"0.00002678")^(1/("4"+"3"))`

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Supersaturation based on activities of Species A and B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Supersaturation Ratio = ((Activity of Specie A^Stochiometric Value for A)*((Activity of Specie B^Stochiometric Value for B))/Solubility Product for Activity)^(1/(Stochiometric Value for A+Stochiometric Value for B))
S = ((a_A^x)*((a_B^y))/K_a)^(1/(x+y))
This formula uses 6 Variables

Variables Used

Supersaturation Ratio - Supersaturation Ratio quantifies how much a solution exceeds its equilibrium solubility with respect to a particular solute at a given temperature and pressure.
Activity of Specie A - (Measured in Mole per Cubic Meter) - Activity of Specie A is a thermodynamic measure that takes into account the effective concentration or "activity" of a species in a non-ideal solution.
Stochiometric Value for A - Stochiometric Value for A is the the number of moles of the cation, M, produced when one mole of the ionic compound AxBy(s), dissolves in water.
Activity of Specie B - (Measured in Mole per Cubic Meter) - Activity of Specie B is a thermodynamic measure that takes into account the effective concentration or "activity" of a species in a non-ideal solution.
Stochiometric Value for B - Stochiometric Value for B is defined as the number of moles of the Anion B produced when one mole of the ionic compound, AxBy(s), dissolves in water.
Solubility Product for Activity - Solubility product for Activity represents the equilibrium between a sparingly soluble ionic compound and its dissociated ions in a saturated solution at a specific temperature.

STEP 1: Convert Input(s) to Base Unit

Activity of Specie A: 0.1185 Mole per Cubic Meter --> 0.1185 Mole per Cubic Meter No Conversion Required
Stochiometric Value for A: 4 --> No Conversion Required
Activity of Specie B: 1.002645 Mole per Cubic Meter --> 1.002645 Mole per Cubic Meter No Conversion Required
Stochiometric Value for B: 3 --> No Conversion Required
Solubility Product for Activity: 2.678E-05 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((a_A^x)*((a_B^y))/K_a)^(1/(x+y)) --> ((0.1185^4)*((1.002645^3))/2.678E-05)^(1/(4+3))

Evaluating ... ...

S = 1.33155089938656

STEP 3: Convert Result to Output's Unit

1.33155089938656 --> No Conversion Required

FINAL ANSWER

1.33155089938656 ≈ 1.331551 <-- Supersaturation Ratio

(Calculation completed in 00.004 seconds)

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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< 24 Crystallization Calculators

Supersaturation based on activities of Species A and B

Go Supersaturation Ratio = ((Activity of Specie A^Stochiometric Value for A)*((Activity of Specie B^Stochiometric Value for B))/Solubility Product for Activity)^(1/(Stochiometric Value for A+Stochiometric Value for B))

Supersaturation based on Concentration of Species A and B along with Solubility Product

Go Supersaturation Ratio = ((Concentration of Specie A^Stochiometric Value for A)*((Concentration of specie B^Stochiometric Value for B))/Solubility Product)^(1/(Stochiometric Value for A+Stochiometric Value for B))

Solubility Product given Activity Coefficient and Mole Fraction of Species A and B

Go Solubility Product for Activity = ((Activity Coefficient of A*Mole Fraction A)^Stochiometric Value for A)*((Activity Coefficient of B*Mole Fraction B)^Stochiometric Value for B)

Overall Excess Free Energy for Spherical Crystalline Body

Go Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume

Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction

Go Reaction Rate Constant = Mass Density of Crystal Surface/((Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction)

Mass Flux Density given Reaction Rate Constant and Order of Integration Reaction

Go Mass Density of Crystal Surface = Reaction Rate Constant*(Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction

Solubility Product given Activities of Species A and B

Go Solubility Product for Activity = (Activity of Specie A^Stochiometric Value for A)*(Activity of Specie B^Stochiometric Value for B)

Solubility Product given Concentration of Species A and B

Go Solubility Product = ((Concentration of Specie A)^Stochiometric Value for A)*(Concentration of specie B)^Stochiometric Value for B

Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient

Go Mass Density of Crystal Surface = Mass Transfer Coefficient*(Bulk Solution Concentration-Interface Concentration)

Mass Transfer Coefficient given Mass Flux Density and Concentration Gradient

Go Mass Transfer Coefficient = Mass Density of Crystal Surface/(Bulk Solution Concentration-Interface Concentration)

Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation

Go Nucleation Rate = Number of Particles/(Supersaturation Volume*Supersaturation Time)

Number of Particles given Nucleation Rate and Supersaturation Volume and Time

Go Number of Particles = Nucleation Rate*(Supersaturation Volume*Supersaturation Time)

Supersaturation Volume given Nucleation Rate and Supersaturation Time

Go Supersaturation Volume = Number of Particles/(Nucleation Rate*Supersaturation Time)

Supersaturation Time given Nucleation Rate and Supersaturation Volume

Go Supersaturation Time = Number of Particles/(Nucleation Rate*Supersaturation Volume)

Supersaturation Ratio given Partial Pressure for Ideal Gas Condition

Go Supersaturation Ratio = Partial Pressure at Solution Concentration/Partial Pressure at Saturation Concentration

Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal

Go Kinetic Driving Force = Chemical Potential of Fluid-Chemical Potential of Crystal

Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value

Go Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value

Equilibrium Saturation Value given Relative Supersaturation and Degree of Saturation

Go Equilibrium Saturation Value = Degree of Supersaturation/Relative Supersaturation

Degree of Supersaturation given Solution Concentration and Equilibrium Saturation Value

Go Degree of Supersaturation = Solution Concentration-Equilibrium Saturation Value

Solution Concentration given Degree of Supersaturation and Equilibrium Saturation Value

Go Solution Concentration = Degree of Supersaturation+Equilibrium Saturation Value

Equilibrium Saturation Value given Solution Concentration and Degree of Saturation

Go Equilibrium Saturation Value = Solution Concentration-Degree of Supersaturation

Supersaturation Ratio given Solution Concentration and Equilibrium Saturation Value

Go Supersaturation Ratio = Solution Concentration/Equilibrium Saturation Value

Suspension Density given Solid Density and Volumetric Holdup

Go Suspension Density = Solid Density*Volumetric Holdup

Relative Supersaturation for given Supersaturation Ratio

Go Relative Supersaturation = Supersaturation Ratio-1

Supersaturation based on activities of Species A and B Formula

What is Significance of Supersaturation in Crystallization?

Its significance lies in its role as the driving force for crystal formation and the control of crystal size and quality. The solution contains more solute than it should be able to hold at a given temperature and pressure. This excess solute provides the driving force for crystal nucleation, the process by which tiny clusters of solute particles come together to form the initial solid crystalline structures.

How to Calculate Supersaturation based on activities of Species A and B?

Supersaturation based on activities of Species A and B calculator uses Supersaturation Ratio = ((Activity of Specie A^Stochiometric Value for A)*((Activity of Specie B^Stochiometric Value for B))/Solubility Product for Activity)^(1/(Stochiometric Value for A+Stochiometric Value for B)) to calculate the Supersaturation Ratio, The Supersaturation based on activities of Species A and B formula is defined as the driving force for crystal formation and the control of crystal size and quality. Supersaturation Ratio is denoted by S symbol.

How to calculate Supersaturation based on activities of Species A and B using this online calculator? To use this online calculator for Supersaturation based on activities of Species A and B, enter Activity of Specie A (a_A), Stochiometric Value for A (x), Activity of Specie B (a_B), Stochiometric Value for B (y) & Solubility Product for Activity (K_a) and hit the calculate button. Here is how the Supersaturation based on activities of Species A and B calculation can be explained with given input values -> 1.682776 = ((0.1185^4)*((1.002645^3))/2.678E-05)^(1/(4+3)).

FAQ

What is Supersaturation based on activities of Species A and B?

The Supersaturation based on activities of Species A and B formula is defined as the driving force for crystal formation and the control of crystal size and quality and is represented as S = ((a_A^x)*((a_B^y))/K_a)^(1/(x+y)) or Supersaturation Ratio = ((Activity of Specie A^Stochiometric Value for A)*((Activity of Specie B^Stochiometric Value for B))/Solubility Product for Activity)^(1/(Stochiometric Value for A+Stochiometric Value for B)). Activity of Specie A is a thermodynamic measure that takes into account the effective concentration or "activity" of a species in a non-ideal solution, Stochiometric Value for A is the the number of moles of the cation, M, produced when one mole of the ionic compound AxBy(s), dissolves in water, Activity of Specie B is a thermodynamic measure that takes into account the effective concentration or "activity" of a species in a non-ideal solution, Stochiometric Value for B is defined as the number of moles of the Anion B produced when one mole of the ionic compound, AxBy(s), dissolves in water & Solubility product for Activity represents the equilibrium between a sparingly soluble ionic compound and its dissociated ions in a saturated solution at a specific temperature.

How to calculate Supersaturation based on activities of Species A and B?

The Supersaturation based on activities of Species A and B formula is defined as the driving force for crystal formation and the control of crystal size and quality is calculated using Supersaturation Ratio = ((Activity of Specie A^Stochiometric Value for A)*((Activity of Specie B^Stochiometric Value for B))/Solubility Product for Activity)^(1/(Stochiometric Value for A+Stochiometric Value for B)). To calculate Supersaturation based on activities of Species A and B, you need Activity of Specie A (a_A), Stochiometric Value for A (x), Activity of Specie B (a_B), Stochiometric Value for B (y) & Solubility Product for Activity (K_a). With our tool, you need to enter the respective value for Activity of Specie A, Stochiometric Value for A, Activity of Specie B, Stochiometric Value for B & Solubility Product for Activity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Supersaturation Ratio?

In this formula, Supersaturation Ratio uses Activity of Specie A, Stochiometric Value for A, Activity of Specie B, Stochiometric Value for B & Solubility Product for Activity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Supersaturation Ratio = Solution Concentration/Equilibrium Saturation Value
Supersaturation Ratio = ((Concentration of Specie A^Stochiometric Value for A)*((Concentration of specie B^Stochiometric Value for B))/Solubility Product)^(1/(Stochiometric Value for A+Stochiometric Value for B))
Supersaturation Ratio = Partial Pressure at Solution Concentration/Partial Pressure at Saturation Concentration

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