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Overall Excess Free Energy for Spherical Crystalline Body Formula

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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. Check FAQs

ΔG = 4 \cdot π \cdot ({r crystal}^{2}) \cdot σ + (4 \cdot \frac{π}{3}) \cdot ({r crystal}^{3}) \cdot ΔG v

ΔG - Overall Excess Energy?r_crystal - Crystal Radius?σ - Interfacial Tension?ΔG_v - Free Energy Change Per Volume?π - Archimedes' constant?

Overall Excess Free Energy for Spherical Crystalline Body Example

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Here is how the Overall Excess Free Energy for Spherical Crystalline Body equation looks like with Values.

Here is how the Overall Excess Free Energy for Spherical Crystalline Body equation looks like with Units.

Here is how the Overall Excess Free Energy for Spherical Crystalline Body equation looks like.

9.4E-12 = 4 \cdot 3.1416 \cdot ({3.2}^{2}) \cdot 0.0728 + (4 \cdot \frac{3.1416}{3}) \cdot ({3.2}^{3}) \cdot -0.048

9.4E-12J = 4 \cdot 3.1416 \cdot ({3.2μm}^{2}) \cdot 0.0728N/m + (4 \cdot \frac{3.1416}{3}) \cdot ({3.2μm}^{3}) \cdot -0.048J

9.4E-12 = 4 \cdot 3.1416 \cdot ({3.2}^{2}) \cdot 0.0728 + (4 \cdot \frac{3.1416}{3}) \cdot ({3.2}^{3}) \cdot -0.048

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Overall Excess Free Energy for Spherical Crystalline Body Solution

Follow our step by step solution on how to calculate Overall Excess Free Energy for Spherical Crystalline Body?

FIRST Step Consider the formula

ΔG = 4 \cdot π \cdot ({r crystal}^{2}) \cdot σ + (4 \cdot \frac{π}{3}) \cdot ({r crystal}^{3}) \cdot ΔG v

Next Step Substitute values of Variables

∴

ΔG = 4 \cdot π \cdot ({3.2μm}^{2}) \cdot 0.0728N/m + (4 \cdot \frac{π}{3}) \cdot ({3.2μm}^{3}) \cdot -0.048J

Next Step Substitute values of Constants

∴

ΔG = 4 \cdot 3.1416 \cdot ({3.2μm}^{2}) \cdot 0.0728N/m + (4 \cdot \frac{3.1416}{3}) \cdot ({3.2μm}^{3}) \cdot -0.048J

Next Step Convert Units

∴

ΔG = 4 \cdot 3.1416 \cdot ({3.2E-6m}^{2}) \cdot 0.0728N/m + (4 \cdot \frac{3.1416}{3}) \cdot ({3.2E-6m}^{3}) \cdot -0.048J

Next Step Prepare to Evaluate

∴

ΔG = 4 \cdot 3.1416 \cdot ({3.2E-6}^{2}) \cdot 0.0728 + (4 \cdot \frac{3.1416}{3}) \cdot ({3.2E-6}^{3}) \cdot -0.048

Next Step Evaluate

∴

ΔG = 9.36787084623024E-12J

LAST Step Rounding Answer

∴

ΔG = 9.4E-12J

Overall Excess Free Energy for Spherical Crystalline Body Formula Elements

Variables

Constants

Overall Excess Energy

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.

Symbol: ΔG

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Overall Excess Energy

Crystal Radius

Crystal Radius refers to the size of individual crystal grains or particles that form during the crystallization process.

Symbol: r_crystal

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Crystal Radius

Interfacial Tension

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.

Symbol: σ

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Interfacial Tension

Free Energy Change Per Volume

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.

Symbol: ΔG_v

Measurement: EnergyUnit: J

Note: Value should be less than 1E-11.

Formulas to find Free Energy Change Per Volume

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Crystallization category

Go Degree of Supersaturation given Solution Concentration and Equilibrium Saturation Value

ΔC = C - C x

Go Supersaturation Ratio given Solution Concentration and Equilibrium Saturation Value

S = \frac{C}{C x}

Go Relative Supersaturation given Degree of Saturation and Equilibrium Saturation Value

φ = \frac{ΔC}{C x}

Go Relative Supersaturation for given Supersaturation Ratio

φ = S - 1

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

Overall Excess Free Energy for Spherical Crystalline Body evaluator uses Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume to evaluate 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 evaluate Overall Excess Free Energy for Spherical Crystalline Body using this online evaluator? To use this online evaluator 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.

FAQs on Overall Excess Free Energy for Spherical Crystalline Body

What is the formula to find Overall Excess Free Energy for Spherical Crystalline Body?

The formula of Overall Excess Free Energy for Spherical Crystalline Body is expressed as Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume. Here is an example- 9.4E-12 = 4*pi*(3.2E-06^2)*0.0728+(4*pi/3)*(3.2E-06^3)*(-0.048).

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

With Crystal Radius (r_crystal), Interfacial Tension (σ) & Free Energy Change Per Volume (ΔG_v) we can find Overall Excess Free Energy for Spherical Crystalline Body using the formula - Overall Excess Energy = 4*pi*(Crystal Radius^2)*Interfacial Tension+(4*pi/3)*(Crystal Radius^3)*Free Energy Change Per Volume. This formula also uses Archimedes' constant .

Can the Overall Excess Free Energy for Spherical Crystalline Body be negative?

No, the Overall Excess Free Energy for Spherical Crystalline Body, measured in Energy cannot be negative.

Which unit is used to measure Overall Excess Free Energy for Spherical Crystalline Body?

Overall Excess Free Energy for Spherical Crystalline Body is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Overall Excess Free Energy for Spherical Crystalline Body can be measured.

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Overall Excess Free Energy for Spherical Crystalline Body Formula

Overall Excess Free Energy for Spherical Crystalline Body Example

Overall Excess Free Energy for Spherical Crystalline Body Solution

Overall Excess Free Energy for Spherical Crystalline Body Formula Elements

Other formulas in Crystallization category

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

FAQs on Overall Excess Free Energy for Spherical Crystalline Body

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