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Supersaturation based on activities of Species A and B Formula

2

GoSupersaturation Ratio given Solution Concentration and Equilibrium Saturation Value Formula

3

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.

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.

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.

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.

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.

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.

Credits

Creator Image

Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

Rishi Vadodaria has created this Formula and 200+ more formulas!

Verifier Image

Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has verified this Formula and 200+ more formulas!

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

See More

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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