Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation Calculator

✖Number of Particles refers to the total count or quantity of individual particles, typically molecules or ions, that come together to form a crystal in a crystallization process.ⓘ Number of Particles [N_T]			+10% -10%
✖Supersaturation Volume refers to the volume of a solution that contains a concentration of solute that exceeds its thermodynamic solubility limit at a given temperature and pressure.ⓘ Supersaturation Volume [ΔV]			+10% -10%
✖Supersaturation Time refers to the amount of time that a solution remains in a supersaturated state before the nucleation of crystals begins.ⓘ Supersaturation Time [Δt]			+10% -10%

✖Nucleation rate refers to the rate at which tiny crystal nuclei form in a supercooled or supersaturated solution.ⓘ Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation [B]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Mass Transfer Operations Formula PDF PDF Image

Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nucleation Rate = Number of Particles/(Supersaturation Volume*Supersaturation Time)
B = N_T/(ΔV*Δt)
This formula uses 4 Variables

Variables Used

Nucleation Rate - Nucleation rate refers to the rate at which tiny crystal nuclei form in a supercooled or supersaturated solution.
Number of Particles - Number of Particles refers to the total count or quantity of individual particles, typically molecules or ions, that come together to form a crystal in a crystallization process.
Supersaturation Volume - (Measured in Cubic Meter) - Supersaturation Volume refers to the volume of a solution that contains a concentration of solute that exceeds its thermodynamic solubility limit at a given temperature and pressure.
Supersaturation Time - (Measured in Second) - Supersaturation Time refers to the amount of time that a solution remains in a supersaturated state before the nucleation of crystals begins.

STEP 1: Convert Input(s) to Base Unit

Number of Particles: 2100 --> No Conversion Required
Supersaturation Volume: 5.42 Cubic Meter --> 5.42 Cubic Meter No Conversion Required
Supersaturation Time: 66 Second --> 66 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = N_T/(ΔV*Δt) --> 2100/(5.42*66)

Evaluating ... ...

B = 5.87051325058705

STEP 3: Convert Result to Output's Unit

5.87051325058705 --> No Conversion Required

FINAL ANSWER

5.87051325058705 ≈ 5.870513 <-- Nucleation Rate

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mass Transfer Operations » Crystallization » Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation

Credits

Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

Rishi Vadodaria has created this Calculator and 200+ more calculators!

Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has verified this Calculator and 200+ more calculators!

< Crystallization Calculators

Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value

LaTeX Go Relative Supersaturation = Degree of Supersaturation/Equilibrium Saturation Value

Degree of Supersaturation given Solution Concentration and Equilibrium Saturation Value

LaTeX Go Degree of Supersaturation = Solution Concentration-Equilibrium Saturation Value

Supersaturation Ratio given Solution Concentration and Equilibrium Saturation Value

LaTeX Go Supersaturation Ratio = Solution Concentration/Equilibrium Saturation Value

Relative Supersaturation for given Supersaturation Ratio

LaTeX Go Relative Supersaturation = Supersaturation Ratio-1

Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation Formula

LaTeX Go

Nucleation Rate = Number of Particles/(Supersaturation Volume*Supersaturation Time)
B = N_T/(ΔV*Δt)

What is Nucleation Rate in Crystallization?

In the context of crystallization, the nucleation rate specifically refers to the rate at which tiny crystal nuclei form in a supercooled or supersaturated solution, leading to the growth of larger crystals. Crystallization is the process by which atoms, ions, or molecules arrange themselves into a highly ordered, three-dimensional structure known as a crystal lattice. Nucleation is the initial step in this process.

What is Volume of Supersaturation in Crystallization?

It's the volume of the solution in which the solute is dissolved to a greater extent than it would be in a saturated solution at the same conditions.

Supersaturation is a crucial concept in crystallization because it sets the stage for nucleation, which is the initial formation of crystal nuclei from the supersaturated solution. When the supersaturation level is high, the solution becomes more prone to nucleation, and crystals are more likely to form.

How to Calculate Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation?

Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation calculator uses Nucleation Rate = Number of Particles/(Supersaturation Volume*Supersaturation Time) to calculate the Nucleation Rate, The Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation formula is defined as the rate at which clusters of atoms, ions, or molecules come together and arrange themselves in a structured manner, forming the initial building blocks or nuclei for the growth of larger crystals. Nucleation Rate is denoted by B symbol.

How to calculate Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation using this online calculator? To use this online calculator for Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation, enter Number of Particles (N_T), Supersaturation Volume (ΔV) & Supersaturation Time (Δt) and hit the calculate button. Here is how the Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation calculation can be explained with given input values -> 5.870513 = 2100/(5.42*66).

FAQ

What is Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation?

The Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation formula is defined as the rate at which clusters of atoms, ions, or molecules come together and arrange themselves in a structured manner, forming the initial building blocks or nuclei for the growth of larger crystals and is represented as B = N_T/(ΔV*Δt) or Nucleation Rate = Number of Particles/(Supersaturation Volume*Supersaturation Time). Number of Particles refers to the total count or quantity of individual particles, typically molecules or ions, that come together to form a crystal in a crystallization process, Supersaturation Volume refers to the volume of a solution that contains a concentration of solute that exceeds its thermodynamic solubility limit at a given temperature and pressure & Supersaturation Time refers to the amount of time that a solution remains in a supersaturated state before the nucleation of crystals begins.

How to calculate Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation?

The Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation formula is defined as the rate at which clusters of atoms, ions, or molecules come together and arrange themselves in a structured manner, forming the initial building blocks or nuclei for the growth of larger crystals is calculated using Nucleation Rate = Number of Particles/(Supersaturation Volume*Supersaturation Time). To calculate Nucleation Rate for given Number of Particles and Volume of Constant Supersaturation, you need Number of Particles (N_T), Supersaturation Volume (ΔV) & Supersaturation Time (Δt). With our tool, you need to enter the respective value for Number of Particles, Supersaturation Volume & Supersaturation Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search