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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Formula

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

Formula

k r = \frac{m}{{(C i - C x)}^{r}}

Example

227.5 mol/m³*s = \frac{0.364 kg/s/m²}{{(0.69 mol/m³ - 0.65 mol/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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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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