Relative Supersaturation for given Supersaturation Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Supersaturation = Supersaturation Ratio-1
ฯ† = S-1
This formula uses 2 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.
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.
STEP 1: Convert Input(s) to Base Unit
Supersaturation Ratio: 1.08 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ฯ† = S-1 --> 1.08-1
Evaluating ... ...
ฯ† = 0.0800000000000001
STEP 3: Convert Result to Output's Unit
0.0800000000000001 --> No Conversion Required
FINAL ANSWER
0.0800000000000001 โ‰ˆ 0.08 <-- Relative Supersaturation
(Calculation completed in 00.004 seconds)

Credits

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Created by Rishi Vadodaria
Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR
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Verified by Vaibhav Mishra
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 for given Supersaturation Ratio Formula

Relative Supersaturation = Supersaturation Ratio-1
ฯ† = S-1

What is Relative Supersaturation in Crystallization?

Relative Supersaturation is essential in crystallization processes because it influences the nucleation and growth of crystals. By adjusting factors such as temperature, concentration, and cooling rate, scientists and engineers can manipulate RS to control the size, shape, and purity of the crystals formed during crystallization processes for various industrial and research applications.

ฯ†>1 indicates that the solution is supersaturated, meaning it contains more solute than it can normally hold in equilibrium. This excess solute is the driving force for crystal nucleation and growth.

How to Calculate Relative Supersaturation for given Supersaturation Ratio?

Relative Supersaturation for given Supersaturation Ratio calculator uses Relative Supersaturation = Supersaturation Ratio-1 to calculate the Relative Supersaturation, The Relative Supersaturation for given Supersaturation Ratio formula is defined as the extent to which a solution is supersaturated with respect to a particular solute, often in the context of forming crystals. Relative Supersaturation is denoted by ฯ† symbol.

How to calculate Relative Supersaturation for given Supersaturation Ratio using this online calculator? To use this online calculator for Relative Supersaturation for given Supersaturation Ratio, enter Supersaturation Ratio (S) and hit the calculate button. Here is how the Relative Supersaturation for given Supersaturation Ratio calculation can be explained with given input values -> 0.08 = 1.08-1.

FAQ

What is Relative Supersaturation for given Supersaturation Ratio?
The Relative Supersaturation for given Supersaturation Ratio formula is defined as the extent to which a solution is supersaturated with respect to a particular solute, often in the context of forming crystals and is represented as ฯ† = S-1 or Relative Supersaturation = Supersaturation Ratio-1. Supersaturation Ratio quantifies how much a solution exceeds its equilibrium solubility with respect to a particular solute at a given temperature and pressure.
How to calculate Relative Supersaturation for given Supersaturation Ratio?
The Relative Supersaturation for given Supersaturation Ratio formula is defined as the extent to which a solution is supersaturated with respect to a particular solute, often in the context of forming crystals is calculated using Relative Supersaturation = Supersaturation Ratio-1. To calculate Relative Supersaturation for given Supersaturation Ratio, you need Supersaturation Ratio (S). With our tool, you need to enter the respective value for Supersaturation Ratio 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 Supersaturation Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value
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