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

✖Concentration of specie A is dependent on the solubility product constant and the concentration of specie B (the anion) in the solution.ⓘ Concentration of Specie A [C_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%
✖Concentration of specie B is dependent on the solubility product constant and the concentration of specie B (the anion) in the solution.ⓘ Concentration of specie B [C_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 represents the equilibrium between a sparingly soluble ionic compound and its dissociated ions in a saturated solution at a specific temperature.ⓘ Solubility Product [K_C]			+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 Concentration of Species A and B along with Solubility Product [S]

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

Formula

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

Example

`"1.000516"=((("1.45mol/m³")^"4")*((("4.25mol/m³")^"3"))/"338.12")^(1/("4"+"3"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
S = ((C_A^x)*((C_B^y))/K_C)^(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.
Concentration of Specie A - (Measured in Mole per Cubic Meter) - Concentration of specie A is dependent on the solubility product constant and the concentration of specie B (the anion) in the 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.
Concentration of specie B - (Measured in Mole per Cubic Meter) - Concentration of specie B is dependent on the solubility product constant and the concentration of specie B (the anion) in the 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 - Solubility product 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

Concentration of Specie A: 1.45 Mole per Cubic Meter --> 1.45 Mole per Cubic Meter No Conversion Required
Stochiometric Value for A: 4 --> No Conversion Required
Concentration of specie B: 4.25 Mole per Cubic Meter --> 4.25 Mole per Cubic Meter No Conversion Required
Stochiometric Value for B: 3 --> No Conversion Required
Solubility Product: 338.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((C_A^x)*((C_B^y))/K_C)^(1/(x+y)) --> ((1.45^4)*((4.25^3))/338.12)^(1/(4+3))

Evaluating ... ...

S = 1.00051589195196

STEP 3: Convert Result to Output's Unit

1.00051589195196 --> No Conversion Required

FINAL ANSWER

1.00051589195196 ≈ 1.000516 <-- 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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DJ Sanghvi College of Engineering (DJSCE), Mumbai

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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 Concentration of Species A and B along with Solubility Product Formula

What is Crystallization?

Crystallization is a process in chemistry and material science that involves the formation of solid, ordered structures called crystals from a liquid, gas, or even a supersaturated solution. During crystallization, atoms, ions, or molecules in the liquid or gas come together in a highly organized and repeating pattern, forming a solid material with a characteristic geometric shape and well-defined properties.

What is the Significance of Supersaturation Ratio And Solubility Product in Crystallization?

Solubility Product is essential because it helps predict whether or not a particular compound will precipitate and form crystals when a solution becomes saturated with the compound. When the ion product exceeds the solubility product constant for a given compound, the excess ions will combine to form solid crystals, leading to crystallization. Conversely, if the ion product is less than, the solution remains unsaturated, and no crystallization occurs.

How to Calculate Supersaturation based on Concentration of Species A and B along with Solubility Product?

Supersaturation based on Concentration of Species A and B along with Solubility Product calculator uses 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)) to calculate the Supersaturation Ratio, The Supersaturation based on Concentration of Species A and B along with Solubility Product formula is defined as the driving force for the formation of crystals. Supersaturation Ratio is denoted by S symbol.

How to calculate Supersaturation based on Concentration of Species A and B along with Solubility Product using this online calculator? To use this online calculator for Supersaturation based on Concentration of Species A and B along with Solubility Product, enter Concentration of Specie A (C_A), Stochiometric Value for A (x), Concentration of specie B (C_B), Stochiometric Value for B (y) & Solubility Product (K_C) and hit the calculate button. Here is how the Supersaturation based on Concentration of Species A and B along with Solubility Product calculation can be explained with given input values -> 1.704446 = ((1.45^4)*((4.25^3))/338.12)^(1/(4+3)).

FAQ

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

The Supersaturation based on Concentration of Species A and B along with Solubility Product formula is defined as the driving force for the formation of crystals and is represented as S = ((C_A^x)*((C_B^y))/K_C)^(1/(x+y)) or 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)). Concentration of specie A is dependent on the solubility product constant and the concentration of specie B (the anion) in the 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, Concentration of specie B is dependent on the solubility product constant and the concentration of specie B (the anion) in the 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 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 Concentration of Species A and B along with Solubility Product?

The Supersaturation based on Concentration of Species A and B along with Solubility Product formula is defined as the driving force for the formation of crystals is calculated using 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)). To calculate Supersaturation based on Concentration of Species A and B along with Solubility Product, you need Concentration of Specie A (C_A), Stochiometric Value for A (x), Concentration of specie B (C_B), Stochiometric Value for B (y) & Solubility Product (K_C). With our tool, you need to enter the respective value for Concentration of Specie A, Stochiometric Value for A, Concentration of specie B, Stochiometric Value for B & Solubility Product 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 Concentration of Specie A, Stochiometric Value for A, Concentration of specie B, Stochiometric Value for B & Solubility Product. 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 = ((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 Ratio = Partial Pressure at Solution Concentration/Partial Pressure at Saturation Concentration

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