Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value Calculator

✖Degree of supersaturation is a fundamental concept in crystallization, representing how oversaturated a solution is with solute.ⓘ Degree of Supersaturation [ΔC]			+10% -10%
✖Equilibrium Saturation Value refers to the maximum concentration of solute in a solvent that can be maintained in a stable solution at a specific temperature and pressure.ⓘ Equilibrium Saturation Value [C^x]			+10% -10%

✖Relative Supersaturation is a measure that compares the actual concentration of a solute in a solution to the maximum concentration it can hold at a given temperature and pressure.ⓘ Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value [φ]

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Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value

Formula

`"φ" = "ΔC"/"C"^{"x"}`

Example

`"0.076923"="0.05mol/m³"/"0.65mol/m³"`

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Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value
φ = ΔC/C^x
This formula uses 3 Variables

Variables Used

Relative Supersaturation - Relative Supersaturation is a measure that compares the actual concentration of a solute in a solution to the maximum concentration it can hold at a given temperature and pressure.
Degree of Supersaturation - (Measured in Mole per Cubic Meter) - Degree of supersaturation is a fundamental concept in crystallization, representing how oversaturated a solution is with solute.
Equilibrium Saturation Value - (Measured in Mole per Cubic Meter) - Equilibrium Saturation Value refers to the maximum concentration of solute in a solvent that can be maintained in a stable solution at a specific temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Degree of Supersaturation: 0.05 Mole per Cubic Meter --> 0.05 Mole per Cubic Meter No Conversion Required
Equilibrium Saturation Value: 0.65 Mole per Cubic Meter --> 0.65 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = ΔC/C^x --> 0.05/0.65

Evaluating ... ...

φ = 0.0769230769230769

STEP 3: Convert Result to Output's Unit

0.0769230769230769 --> No Conversion Required

FINAL ANSWER

0.0769230769230769 ≈ 0.076923 <-- Relative Supersaturation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Crystallization » Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value

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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

Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value Formula

Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value
φ = ΔC/C^x

What is Relative Supersaturation?

Relative supersaturation takes into account the presence of impurities or contaminants in the solution. These impurities can affect the solubility of the solute by either enhancing or inhibiting crystallization.

Relative supersaturation in crystallization is a parameter that assesses the extent to which a solution is supersaturated with respect to a solute, while considering the presence of impurities or foreign substances. It provides a more accurate representation of the crystallization potential in complex solutions with impurities.

What is Degree Of Saturation and Equilibrium Saturation Value?

The degree of saturation is a measure of how much a solution is supersaturated with respect to a particular solute or substance that you want to crystallize.�

DS>1 indicates a supersaturated solution, where the concentration of the solute exceeds its equilibrium solubility.
DS=1 indicates a saturated solution, where the concentration is equal to the equilibrium solubility.
DS<1 indicates an unsaturated solution, where the concentration is below the equilibrium solubility.

The equilibrium saturation value represents the maximum amount of solute that can dissolve in a solution at a given temperature and pressure.

How to Calculate Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value?

Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value calculator uses Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value to calculate the Relative Supersaturation, The Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value formula is defined as as the ratio of the actual concentration of the solute in the solution to the maximum concentration it could hold in the absence of impurities at the same temperature and pressure. Relative Supersaturation is denoted by φ symbol.

How to calculate Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value using this online calculator? To use this online calculator for Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value, enter Degree of Supersaturation (ΔC) & Equilibrium Saturation Value (C^x) and hit the calculate button. Here is how the Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value calculation can be explained with given input values -> 0.076923 = 0.05/0.65.

FAQ

What is Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value?

The Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value formula is defined as as the ratio of the actual concentration of the solute in the solution to the maximum concentration it could hold in the absence of impurities at the same temperature and pressure and is represented as φ = ΔC/C^x or Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value. Degree of supersaturation is a fundamental concept in crystallization, representing how oversaturated a solution is with solute & Equilibrium Saturation Value refers to the maximum concentration of solute in a solvent that can be maintained in a stable solution at a specific temperature and pressure.

How to calculate Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value?

The Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value formula is defined as as the ratio of the actual concentration of the solute in the solution to the maximum concentration it could hold in the absence of impurities at the same temperature and pressure is calculated using Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value. To calculate Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value, you need Degree of Supersaturation (ΔC) & Equilibrium Saturation Value (C^x). With our tool, you need to enter the respective value for Degree of Supersaturation & Equilibrium Saturation Value 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 Relative Supersaturation?

In this formula, Relative Supersaturation uses Degree of Supersaturation & Equilibrium Saturation Value. We can use 1 other way(s) to calculate the same, which is/are as follows -

Relative Supersaturation = Supersaturation Ratio-1

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