Overall Excess Free Energy for Spherical Crystalline Body Calculator

✖Crystal Radius refers to the size of individual crystal grains or particles that form during the crystallization process.ⓘ Crystal Radius [r_crystal]			+10% -10%
✖Interfacial Tension, also known as surface tension, is a property of the interface between two immiscible substances, such as a liquid and a gas or two different liquids.ⓘ Interfacial Tension [σ]			+10% -10%
✖Free Energy Change Per Volume refers to the change in Gibbs free energy (ΔG) associated with the formation of a unit volume of a crystalline solid from a solution.ⓘ Free Energy Change Per Volume [ΔG_v]			+10% -10%

✖Overall Excess Energy refers to the total energy difference between the initial state of a system and the final state of the system when the crystallization process occurs.ⓘ Overall Excess Free Energy for Spherical Crystalline Body [ΔG]

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Overall Excess Free Energy for Spherical Crystalline Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume
ΔG = 4*pi*(r_crystal^2)*σ+(4*pi/3)*(r_crystal^3)*ΔG_v
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Overall Excess Energy - (Measured in Joule) - Overall Excess Energy refers to the total energy difference between the initial state of a system and the final state of the system when the crystallization process occurs.
Crystal Radius - (Measured in Meter) - Crystal Radius refers to the size of individual crystal grains or particles that form during the crystallization process.
Interfacial Tension - (Measured in Newton per Meter) - Interfacial Tension, also known as surface tension, is a property of the interface between two immiscible substances, such as a liquid and a gas or two different liquids.
Free Energy Change Per Volume - (Measured in Joule) - Free Energy Change Per Volume refers to the change in Gibbs free energy (ΔG) associated with the formation of a unit volume of a crystalline solid from a solution.

STEP 1: Convert Input(s) to Base Unit

Crystal Radius: 3.2 Micrometer --> 3.2E-06 Meter (Check conversion here)
Interfacial Tension: 0.0728 Newton per Meter --> 0.0728 Newton per Meter No Conversion Required
Free Energy Change Per Volume: -0.048 Joule --> -0.048 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔG = 4*pi*(r_crystal^2)*σ+(4*pi/3)*(r_crystal^3)*ΔG_v --> 4*pi*(3.2E-06^2)*0.0728+(4*pi/3)*(3.2E-06^3)*(-0.048)

Evaluating ... ...

ΔG = 9.36787084623024E-12

STEP 3: Convert Result to Output's Unit

9.36787084623024E-12 Joule --> No Conversion Required

FINAL ANSWER

9.36787084623024E-12 ≈ 9.4E-12 Joule <-- Overall Excess Energy

(Calculation completed in 00.004 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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Overall Excess Free Energy for Spherical Crystalline Body Formula

LaTeX Go

Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume
ΔG = 4*pi*(r_crystal^2)*σ+(4*pi/3)*(r_crystal^3)*ΔG_v

What is the Significance of Excess Free Energy in Crystallization?

The crystallization process involves the formation of ordered, three-dimensional arrangements of atoms or molecules from a disordered or supersaturated solution.

The overall excess energy can be thought of as the energy barrier that must be overcome for the crystallization process to occur. When this energy barrier is surpassed, the solute particles start to aggregate and form stable crystal structures, resulting in the release of heat.

How to Calculate Overall Excess Free Energy for Spherical Crystalline Body?

Overall Excess Free Energy for Spherical Crystalline Body calculator uses Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume to calculate the Overall Excess Energy, The Overall Excess Free Energy for Spherical Crystalline Body formula is defined as the total energy difference between the initial state of a system (typically a solution) and the final state of the system (a crystalline solid) when the crystallization process occurs. Overall Excess Energy is denoted by ΔG symbol.

How to calculate Overall Excess Free Energy for Spherical Crystalline Body using this online calculator? To use this online calculator for Overall Excess Free Energy for Spherical Crystalline Body, enter Crystal Radius (r_crystal), Interfacial Tension (σ) & Free Energy Change Per Volume (ΔG_v) and hit the calculate button. Here is how the Overall Excess Free Energy for Spherical Crystalline Body calculation can be explained with given input values -> 9.4E-12 = 4*pi*(3.2E-06^2)*0.0728+(4*pi/3)*(3.2E-06^3)*(-0.048).

FAQ

What is Overall Excess Free Energy for Spherical Crystalline Body?

The Overall Excess Free Energy for Spherical Crystalline Body formula is defined as the total energy difference between the initial state of a system (typically a solution) and the final state of the system (a crystalline solid) when the crystallization process occurs and is represented as ΔG = 4*pi*(r_crystal^2)*σ+(4*pi/3)*(r_crystal^3)*ΔG_v or Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume. Crystal Radius refers to the size of individual crystal grains or particles that form during the crystallization process, Interfacial Tension, also known as surface tension, is a property of the interface between two immiscible substances, such as a liquid and a gas or two different liquids & Free Energy Change Per Volume refers to the change in Gibbs free energy (ΔG) associated with the formation of a unit volume of a crystalline solid from a solution.

How to calculate Overall Excess Free Energy for Spherical Crystalline Body?

The Overall Excess Free Energy for Spherical Crystalline Body formula is defined as the total energy difference between the initial state of a system (typically a solution) and the final state of the system (a crystalline solid) when the crystallization process occurs is calculated using Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume. To calculate Overall Excess Free Energy for Spherical Crystalline Body, you need Crystal Radius (r_crystal), Interfacial Tension (σ) & Free Energy Change Per Volume (ΔG_v). With our tool, you need to enter the respective value for Crystal Radius, Interfacial Tension & Free Energy Change Per Volume 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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