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Total free energy change during solidification Formula

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Total free energy change is the difference in free energy due to solidification including both volumetric and surface area contributions. Check FAQs

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

𝚫G - Total free energy change?r - Radius of nucleus?𝚫G_v - Volume free energy?𝛾 - Surface free energy?π - Archimedes' constant?

Total free energy change during solidification Example

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Here is how the Total free energy change during solidification equation looks like with Values.

Here is how the Total free energy change during solidification equation looks like with Units.

Here is how the Total free energy change during solidification equation looks like.

2.5E-16 = ((\frac{4}{3}) \cdot 3.1416 \cdot 10^{3} \cdot -10000) + (4 \cdot 3.1416 \cdot 10^{2} \cdot 0.2)

2.5E-16J = ((\frac{4}{3}) \cdot 3.1416 \cdot {10nm}^{3} \cdot -10000J/m³) + (4 \cdot 3.1416 \cdot {10nm}^{2} \cdot 0.2J/m²)

2.5E-16 = ((\frac{4}{3}) \cdot 3.1416 \cdot 10^{3} \cdot -10000) + (4 \cdot 3.1416 \cdot 10^{2} \cdot 0.2)

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Total free energy change during solidification Solution

Follow our step by step solution on how to calculate Total free energy change during solidification?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝚫G = ((\frac{4}{3}) \cdot π \cdot {10nm}^{3} \cdot -10000J/m³) + (4 \cdot π \cdot {10nm}^{2} \cdot 0.2J/m²)

Next Step Substitute values of Constants

∴

𝚫G = ((\frac{4}{3}) \cdot 3.1416 \cdot {10nm}^{3} \cdot -10000J/m³) + (4 \cdot 3.1416 \cdot {10nm}^{2} \cdot 0.2J/m²)

Next Step Convert Units

∴

𝚫G = ((\frac{4}{3}) \cdot 3.1416 \cdot {1E-8m}^{3} \cdot -10000J/m³) + (4 \cdot 3.1416 \cdot {1E-8m}^{2} \cdot 0.2J/m²)

Next Step Prepare to Evaluate

∴

𝚫G = ((\frac{4}{3}) \cdot 3.1416 \cdot {1E-8}^{3} \cdot -10000) + (4 \cdot 3.1416 \cdot {1E-8}^{2} \cdot 0.2)

Next Step Evaluate

∴

𝚫G = 2.51285524385136E-16J

LAST Step Rounding Answer

∴

𝚫G = 2.5E-16J

Total free energy change during solidification Formula Elements

Variables

Constants

Total free energy change

Total free energy change is the difference in free energy due to solidification including both volumetric and surface area contributions.

Symbol: 𝚫G

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Total free energy change

Radius of nucleus

Radius of nucleus is the radius of nucleus formed during the solidification.

Symbol: r

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Radius of nucleus

Volume free energy

Volume free energy is the free energy difference between the solid and liquid phases.

Symbol: 𝚫G_v

Measurement: Heat of Combustion (per Volume)Unit: J/m³

Note: Value can be positive or negative.

Formulas to find Volume free energy

Surface free energy

Surface free energy is the energy to create solid–liquid phase boundary during the solidification.

Symbol: 𝛾

Measurement: Heat DensityUnit: J/m²

Note: Value should be greater than 0.

Formulas to find Surface free energy

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 Kinetics of Phase Transformation category

Go Critical radius of nucleus

r * = 2 \cdot 𝛾 \cdot \frac{T m}{ΔH f \cdot ΔT}

Go Critical free energy for nucleation

ΔG * = 16 \cdot π \cdot 𝛾^{3} \cdot \frac{{T m}^{2}}{3 \cdot {ΔH f}^{2} \cdot {ΔT}^{2}}

Go Volume free energy

𝚫G v = ΔH f \cdot \frac{ΔT}{T m}

Go Critical radius of nucleus (from volume free energy)

r * = - 2 \cdot \frac{𝛾}{𝚫G v}

How to Evaluate Total free energy change during solidification?

Total free energy change during solidification evaluator uses Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy) to evaluate the Total free energy change, Total free energy change during solidification is the difference in free energy due to solidification including both volumetric and surface area contributions. Total free energy change is denoted by 𝚫G symbol.

How to evaluate Total free energy change during solidification using this online evaluator? To use this online evaluator for Total free energy change during solidification, enter Radius of nucleus (r), Volume free energy (𝚫G_v) & Surface free energy (𝛾) and hit the calculate button.

FAQs on Total free energy change during solidification

What is the formula to find Total free energy change during solidification?

The formula of Total free energy change during solidification is expressed as Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy). Here is an example- 2.5E-16 = ((4/3)*pi*1E-08^3*(-10000))+(4*pi*1E-08^2*0.2).

How to calculate Total free energy change during solidification?

With Radius of nucleus (r), Volume free energy (𝚫G_v) & Surface free energy (𝛾) we can find Total free energy change during solidification using the formula - Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy). This formula also uses Archimedes' constant .

Can the Total free energy change during solidification be negative?

Yes, the Total free energy change during solidification, measured in Energy can be negative.

Which unit is used to measure Total free energy change during solidification?

Total free energy change during solidification is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total free energy change during solidification can be measured.

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Total free energy change during solidification Formula

Total free energy change during solidification Example

Total free energy change during solidification Solution

Total free energy change during solidification Formula Elements

Other formulas in Kinetics of Phase Transformation category

How to Evaluate Total free energy change during solidification?

FAQs on Total free energy change during solidification

Variable Name