Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction Calculator

✖Mass Density of Crystal Surface is a measure of the amount of mass or charge per unit area of the crystal's surface.ⓘ Mass Density of Crystal Surface [m]			+10% -10%
✖Interfacial Concentration refers to the concentration of solute molecules or ions at the interface between the liquid phase (solution) and the solid phase (crystal).ⓘ Interfacial Concentration [C_i]			+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%
✖Order of Integration Reaction describes how the rate of a chemical reaction depends on the concentration of reactants.ⓘ Order of Integration Reaction [r]			+10% -10%

✖The reaction rate constant represents the speed or rate at which a solute transforms from a liquid or solution phase into a solid crystalline phase.ⓘ Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction [k_r]

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Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction

Formula

`"k"_{"r"} = "m"/(("C"_{"i"}-"C"^{"x"})^"r")`

Example

`"227.5mol/m³*s"="0.364kg/s/m²"/(("0.69mol/m³"-"0.65mol/m³")^"2")`

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Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reaction Rate Constant = Mass Density of Crystal Surface/((Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction)
k_r = m/((C_i-C^x)^r)
This formula uses 5 Variables

Variables Used

Reaction Rate Constant - (Measured in Mole per Cubic Meter Second) - The reaction rate constant represents the speed or rate at which a solute transforms from a liquid or solution phase into a solid crystalline phase.
Mass Density of Crystal Surface - (Measured in Kilogram per Second per Square Meter) - Mass Density of Crystal Surface is a measure of the amount of mass or charge per unit area of the crystal's surface.
Interfacial Concentration - (Measured in Mole per Cubic Meter) - Interfacial Concentration refers to the concentration of solute molecules or ions at the interface between the liquid phase (solution) and the solid phase (crystal).
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.
Order of Integration Reaction - Order of Integration Reaction describes how the rate of a chemical reaction depends on the concentration of reactants.

STEP 1: Convert Input(s) to Base Unit

Mass Density of Crystal Surface: 0.364 Kilogram per Second per Square Meter --> 0.364 Kilogram per Second per Square Meter No Conversion Required
Interfacial Concentration: 0.69 Mole per Cubic Meter --> 0.69 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
Order of Integration Reaction: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_r = m/((C_i-C^x)^r) --> 0.364/((0.69-0.65)^2)

Evaluating ... ...

k_r = 227.500000000001

STEP 3: Convert Result to Output's Unit

227.500000000001 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

227.500000000001 ≈ 227.5 Mole per Cubic Meter Second <-- Reaction Rate Constant

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Crystallization » Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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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

Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction Formula

Reaction Rate Constant = Mass Density of Crystal Surface/((Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction)
k_r = m/((C_i-C^x)^r)

What is Reaction Rate Constant and Order of Reaction?

The reaction rate constant (often denoted as "k") represents the speed or rate at which a solute (the substance being crystallized) transforms from a liquid or solution phase into a solid crystalline phase. It is a fundamental parameter in the kinetic study of crystallization processes. Order of integration reaction describes how the rate of a chemical reaction depends on the concentration of reactants.

What is Significance of Mass Flux Density?

The mass density of the crystal surface would refer to the distribution of mass per unit area on the surface of the crystal. This can be important in various scientific and engineering applications, such as surface chemistry, material science, and semiconductor physics. The mass density of a crystal surface can vary depending on the type of crystal, its structure, and the arrangement of atoms or ions on the surface. It may also be influenced by factors like impurities or defects on the surface.

How to Calculate Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction?

Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction calculator uses Reaction Rate Constant = Mass Density of Crystal Surface/((Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction) to calculate the Reaction Rate Constant, The Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction formula is defined as the rate at which crystals forms for a known quantity of Mass Flux and Order of Reaction. Reaction Rate Constant is denoted by k_r symbol.

How to calculate Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction using this online calculator? To use this online calculator for Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction, enter Mass Density of Crystal Surface (m), Interfacial Concentration (C_i), Equilibrium Saturation Value (C^x) & Order of Integration Reaction (r) and hit the calculate button. Here is how the Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction calculation can be explained with given input values -> 227.5 = 0.364/((0.69-0.65)^2).

FAQ

What is Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction?

The Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction formula is defined as the rate at which crystals forms for a known quantity of Mass Flux and Order of Reaction and is represented as k_r = m/((C_i-C^x)^r) or Reaction Rate Constant = Mass Density of Crystal Surface/((Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction). Mass Density of Crystal Surface is a measure of the amount of mass or charge per unit area of the crystal's surface, Interfacial Concentration refers to the concentration of solute molecules or ions at the interface between the liquid phase (solution) and the solid phase (crystal), 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 & Order of Integration Reaction describes how the rate of a chemical reaction depends on the concentration of reactants.

How to calculate Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction?

The Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction formula is defined as the rate at which crystals forms for a known quantity of Mass Flux and Order of Reaction is calculated using Reaction Rate Constant = Mass Density of Crystal Surface/((Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction). To calculate Reaction Rate Constant in Crystallization given Mass Flux Density and Order of Reaction, you need Mass Density of Crystal Surface (m), Interfacial Concentration (C_i), Equilibrium Saturation Value (C^x) & Order of Integration Reaction (r). With our tool, you need to enter the respective value for Mass Density of Crystal Surface, Interfacial Concentration, Equilibrium Saturation Value & Order of Integration Reaction 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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