Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient Calculator

✖Mass Transfer Coefficient is defined as the rate at which solute molecules are transported from the bulk solution to the surface of growing crystals or vice versa.ⓘ Mass Transfer Coefficient [k_d]			+10% -10%
✖Bulk Solution Concentration is defined as the concentration gradient of the solute within the solution surrounding the growing crystals.ⓘ Bulk Solution Concentration [c]			+10% -10%
✖Interface Concentration is defined as as the solute concentration at the crystal-liquid interface or solid-liquid interface.ⓘ Interface Concentration [c_i]			+10% -10%

✖Mass Density of Crystal Surface is a measure of the amount of mass or charge per unit area of the crystal's surface.ⓘ Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient [m]

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Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient

Formula

`"m" = "k"_{"d"}*("c"-"c"_{"i"})`

Example

`"0.336kg/s/m²"="1.4m/s"*("0.98kg/m³"-"0.74kg/m³")`

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Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Density of Crystal Surface = Mass Transfer Coefficient*(Bulk Solution Concentration-Interface Concentration)
m = k_d*(c-c_i)
This formula uses 4 Variables

Variables Used

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.
Mass Transfer Coefficient - (Measured in Meter per Second) - Mass Transfer Coefficient is defined as the rate at which solute molecules are transported from the bulk solution to the surface of growing crystals or vice versa.
Bulk Solution Concentration - (Measured in Kilogram per Cubic Meter) - Bulk Solution Concentration is defined as the concentration gradient of the solute within the solution surrounding the growing crystals.
Interface Concentration - (Measured in Kilogram per Cubic Meter) - Interface Concentration is defined as as the solute concentration at the crystal-liquid interface or solid-liquid interface.

STEP 1: Convert Input(s) to Base Unit

Mass Transfer Coefficient: 1.4 Meter per Second --> 1.4 Meter per Second No Conversion Required
Bulk Solution Concentration: 0.98 Kilogram per Cubic Meter --> 0.98 Kilogram per Cubic Meter No Conversion Required
Interface Concentration: 0.74 Kilogram per Cubic Meter --> 0.74 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = k_d*(c-c_i) --> 1.4*(0.98-0.74)

Evaluating ... ...

m = 0.336

STEP 3: Convert Result to Output's Unit

0.336 Kilogram per Second per Square Meter --> No Conversion Required

FINAL ANSWER

0.336 Kilogram per Second per Square Meter <-- Mass Density of Crystal Surface

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Crystallization » Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient

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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

Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient Formula

Mass Density of Crystal Surface = Mass Transfer Coefficient*(Bulk Solution Concentration-Interface Concentration)
m = k_d*(c-c_i)

What is the 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.

What is the Significance of Mass Transfer Coefficient?

The mass transfer coefficient plays a critical role in determining the rate at which solute molecules are transported from the bulk solution to the surface of growing crystals or vice versa. It is a measure of the effectiveness of mass transfer

How to Calculate Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient?

Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient calculator uses Mass Density of Crystal Surface = Mass Transfer Coefficient*(Bulk Solution Concentration-Interface Concentration) to calculate the Mass Density of Crystal Surface, The Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient formula is defined as the distribution of mass per unit area on the surface of the crystal for a known Bulk Concentration of Solution. Mass Density of Crystal Surface is denoted by m symbol.

How to calculate Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient using this online calculator? To use this online calculator for Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient, enter Mass Transfer Coefficient (k_d), Bulk Solution Concentration (c) & Interface Concentration (c_i) and hit the calculate button. Here is how the Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient calculation can be explained with given input values -> 0.336 = 1.4*(0.98-0.74).

FAQ

What is Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient?

The Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient formula is defined as the distribution of mass per unit area on the surface of the crystal for a known Bulk Concentration of Solution and is represented as m = k_d*(c-c_i) or Mass Density of Crystal Surface = Mass Transfer Coefficient*(Bulk Solution Concentration-Interface Concentration). Mass Transfer Coefficient is defined as the rate at which solute molecules are transported from the bulk solution to the surface of growing crystals or vice versa, Bulk Solution Concentration is defined as the concentration gradient of the solute within the solution surrounding the growing crystals & Interface Concentration is defined as as the solute concentration at the crystal-liquid interface or solid-liquid interface.

How to calculate Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient?

The Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient formula is defined as the distribution of mass per unit area on the surface of the crystal for a known Bulk Concentration of Solution is calculated using Mass Density of Crystal Surface = Mass Transfer Coefficient*(Bulk Solution Concentration-Interface Concentration). To calculate Mass Flux Density given Mass Transfer Coefficient and Concentration Gradient, you need Mass Transfer Coefficient (k_d), Bulk Solution Concentration (c) & Interface Concentration (c_i). With our tool, you need to enter the respective value for Mass Transfer Coefficient, Bulk Solution Concentration & Interface Concentration 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 Mass Density of Crystal Surface?

In this formula, Mass Density of Crystal Surface uses Mass Transfer Coefficient, Bulk Solution Concentration & Interface Concentration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mass Density of Crystal Surface = Reaction Rate Constant*(Interfacial Concentration-Equilibrium Saturation Value)^Order of Integration Reaction

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