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Supersaturation based on activities of Species A and B Formula

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GoSupersaturation Ratio given Solution Concentration and Equilibrium Saturation Value Formula

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

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Supersaturation Ratio quantifies how much a solution exceeds its equilibrium solubility with respect to a particular solute at a given temperature and pressure. Check FAQs

S = {(({a A}^{x}) \cdot \frac{({a B}^{y})}{K a})}^{\frac{1}{x + y}}

S - Supersaturation Ratio?a_A - Activity of Specie A?x - Stochiometric Value for A?a_B - Activity of Specie B?y - Stochiometric Value for B?K_a - Solubility Product for Activity?

Supersaturation based on activities of Species A and B Example

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Here is how the Supersaturation based on activities of Species A and B equation looks like with Values.

Here is how the Supersaturation based on activities of Species A and B equation looks like with Units.

Here is how the Supersaturation based on activities of Species A and B equation looks like.

1.3316 = {(({0.1185}^{4}) \cdot \frac{({1.0026}^{3})}{2.7E-5})}^{\frac{1}{4 + 3}}

1.3316 = {(({0.1185mol/m³}^{4}) \cdot \frac{({1.0026mol/m³}^{3})}{2.7E-5})}^{\frac{1}{4 + 3}}

1.3316 = {(({0.1185}^{4}) \cdot \frac{({1.0026}^{3})}{2.7E-5})}^{\frac{1}{4 + 3}}

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Supersaturation based on activities of Species A and B Solution

Follow our step by step solution on how to calculate Supersaturation based on activities of Species A and B?

FIRST Step Consider the formula

S = {(({a A}^{x}) \cdot \frac{({a B}^{y})}{K a})}^{\frac{1}{x + y}}

Next Step Substitute values of Variables

∴

S = {(({0.1185mol/m³}^{4}) \cdot \frac{({1.0026mol/m³}^{3})}{2.7E-5})}^{\frac{1}{4 + 3}}

Next Step Prepare to Evaluate

∴

S = {(({0.1185}^{4}) \cdot \frac{({1.0026}^{3})}{2.7E-5})}^{\frac{1}{4 + 3}}

Next Step Evaluate

∴

S = 1.33155089938656

LAST Step Rounding Answer

∴

S = 1.3316

Supersaturation based on activities of Species A and B Formula Elements

Variables

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Supersaturation Ratio

Open Variable

Activity of Specie A

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.

Symbol: a_A

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Activity of Specie A

Open Variable

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.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stochiometric Value for A

Open Variable

Activity of Specie B

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.

Symbol: a_B

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Activity of Specie B

Open Variable

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.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stochiometric Value for B

Open Variable

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.

Symbol: K_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Solubility Product for Activity

Open Variable

Other Formulas to find Supersaturation Ratio

Go Supersaturation Ratio given Solution Concentration and Equilibrium Saturation Value

S = \frac{C}{C x}

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

S = {(({C A}^{x}) \cdot \frac{({C B}^{y})}{K C})}^{\frac{1}{x + y}}

Go Supersaturation Ratio given Partial Pressure for Ideal Gas Condition

S = \frac{p}{p o}

Other formulas in Crystallization category

Go Degree of Supersaturation given Solution Concentration and Equilibrium Saturation Value

ΔC = C - C x

Go Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value

φ = \frac{ΔC}{C x}

Go Relative Supersaturation for given Supersaturation Ratio

φ = S - 1

Go Overall Excess Free Energy for Spherical Crystalline Body

ΔG = 4 \cdot π \cdot ({r crystal}^{2}) \cdot σ + (4 \cdot \frac{π}{3}) \cdot ({r crystal}^{3}) \cdot ΔG v

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

Supersaturation based on activities of Species A and B evaluator 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 evaluate 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 evaluate Supersaturation based on activities of Species A and B using this online evaluator? To use this online evaluator 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.

FAQs on Supersaturation based on activities of Species A and B

What is the formula to find Supersaturation based on activities of Species A and B?

The formula of Supersaturation based on activities of Species A and B is expressed as 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)). Here is an example- 1.682776 = ((0.1185^4)*((1.002645^3))/2.678E-05)^(1/(4+3)).

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

With 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) we can find Supersaturation based on activities of Species A and B using the formula - 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)).

What are the other ways to Calculate Supersaturation Ratio?

Here are the different ways to Calculate Supersaturation Ratio-

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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