Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal Calculator

✖Chemical Potential of Fluid refers to the thermodynamic potential that determines the equilibrium conditions for the phase transitions between the fluid and the crystal phases.ⓘ Chemical Potential of Fluid [μ_F]			+10% -10%
✖Chemical Potential of Crystal is the thermodynamic potential associated with a component in the solid state.ⓘ Chemical Potential of Crystal [μ_C]			+10% -10%

✖Kinetic Driving Force refers to the thermodynamic or kinetic factors that promote or drive the process of crystal nucleation and growth.ⓘ Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal [Δμ]

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Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal

Formula

`"Δμ" = "μ"_{"F"}-"μ"_{"C"}`

Example

`"1.69626J/mol"="5.4875J/mol"-"3.79124J/mol"`

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Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Driving Force = Chemical Potential of Fluid-Chemical Potential of Crystal
Δμ = μ_F-μ_C
This formula uses 3 Variables

Variables Used

Kinetic Driving Force - (Measured in Joule Per Mole) - Kinetic Driving Force refers to the thermodynamic or kinetic factors that promote or drive the process of crystal nucleation and growth.
Chemical Potential of Fluid - (Measured in Joule Per Mole) - Chemical Potential of Fluid refers to the thermodynamic potential that determines the equilibrium conditions for the phase transitions between the fluid and the crystal phases.
Chemical Potential of Crystal - (Measured in Joule Per Mole) - Chemical Potential of Crystal is the thermodynamic potential associated with a component in the solid state.

STEP 1: Convert Input(s) to Base Unit

Chemical Potential of Fluid: 5.4875 Joule Per Mole --> 5.4875 Joule Per Mole No Conversion Required
Chemical Potential of Crystal: 3.79124 Joule Per Mole --> 3.79124 Joule Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δμ = μ_F-μ_C --> 5.4875-3.79124

Evaluating ... ...

Δμ = 1.69626

STEP 3: Convert Result to Output's Unit

1.69626 Joule Per Mole --> No Conversion Required

FINAL ANSWER

1.69626 Joule Per Mole <-- Kinetic Driving Force

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Crystallization » Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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

Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal Formula

Kinetic Driving Force = Chemical Potential of Fluid-Chemical Potential of Crystal
Δμ = μ_F-μ_C

What is the Significance of Chemical Potential in Crystallization?

The chemical potential in crystallization is a critical thermodynamic parameter that plays a significant role in determining the conditions under which crystallization occurs and influencing the characteristics of the resulting crystals.
The chemical potential difference between the solute in the fluid and the solute in the crystal serves as the driving force for the crystallization process. Crystallization initiates when the chemical potential in the solution exceeds the chemical potential in the crystal, leading to nucleation and crystal growth.
The chemical potential affects the nucleation rate, crystal growth rate, and final crystal size. By controlling the chemical potential through factors such as temperature, pressure, and solute concentration, it is possible to influence the characteristics of the resulting crystals, including size, shape, and purity.

How to Calculate Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal?

Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal calculator uses Kinetic Driving Force = Chemical Potential of Fluid-Chemical Potential of Crystal to calculate the Kinetic Driving Force, The Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal formula is defined as the driving force that encourages the transition from a supersaturated solution to the formation of solid crystals. Kinetic Driving Force is denoted by Δμ symbol.

How to calculate Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal using this online calculator? To use this online calculator for Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal, enter Chemical Potential of Fluid (μ_F) & Chemical Potential of Crystal (μ_C) and hit the calculate button. Here is how the Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal calculation can be explained with given input values -> 1.69626 = 5.4875-3.79124.

FAQ

What is Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal?

The Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal formula is defined as the driving force that encourages the transition from a supersaturated solution to the formation of solid crystals and is represented as Δμ = μ_F-μ_C or Kinetic Driving Force = Chemical Potential of Fluid-Chemical Potential of Crystal. Chemical Potential of Fluid refers to the thermodynamic potential that determines the equilibrium conditions for the phase transitions between the fluid and the crystal phases & Chemical Potential of Crystal is the thermodynamic potential associated with a component in the solid state.

How to calculate Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal?

The Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal formula is defined as the driving force that encourages the transition from a supersaturated solution to the formation of solid crystals is calculated using Kinetic Driving Force = Chemical Potential of Fluid-Chemical Potential of Crystal. To calculate Kinetic Driving Force in Crystallization given Chemical Potential of Fluid and Crystal, you need Chemical Potential of Fluid (μ_F) & Chemical Potential of Crystal (μ_C). With our tool, you need to enter the respective value for Chemical Potential of Fluid & Chemical Potential of Crystal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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