Total free energy change during solidification Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)
𝚫G = ((4/3)*pi*r^3*𝚫Gv)+(4*pi*r^2*𝛾)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total free energy change - (Measured in Joule) - Total free energy change is the difference in free energy due to solidification including both volumetric and surface area contributions.
Radius of nucleus - (Measured in Meter) - Radius of nucleus is the radius of nucleus formed during the solidification.
Volume free energy - (Measured in Joule per Cubic Meter) - Volume free energy is the free energy difference between the solid and liquid phases.
Surface free energy - (Measured in Joule per Square Meter) - Surface free energy is the energy to create solid–liquid phase boundary during the solidification.
STEP 1: Convert Input(s) to Base Unit
Radius of nucleus: 10 Nanometer --> 1E-08 Meter (Check conversion here)
Volume free energy: -10000 Joule per Cubic Meter --> -10000 Joule per Cubic Meter No Conversion Required
Surface free energy: 0.2 Joule per Square Meter --> 0.2 Joule per Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝚫G = ((4/3)*pi*r^3*𝚫Gv)+(4*pi*r^2*𝛾) --> ((4/3)*pi*1E-08^3*(-10000))+(4*pi*1E-08^2*0.2)
Evaluating ... ...
𝚫G = 2.51285524385136E-16
STEP 3: Convert Result to Output's Unit
2.51285524385136E-16 Joule --> No Conversion Required
FINAL ANSWER
2.51285524385136E-16 2.5E-16 Joule <-- Total free energy change
(Calculation completed in 00.004 seconds)

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11 Kinetics of Phase Transformation Calculators

Total free energy change during solidification
Go Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)
Critical free energy for nucleation
Go Critical free energy = 16*pi*Surface free energy^3*Melting temperature^2/(3*Latent Heat of Fusion^2*Undercooling value^2)
Avrami equation
Go Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation)
Time taken for X percent reaction to complete
Go Reaction Time = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Rate Constant
Rate constant of first order reaction
Go Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time
Critical radius of nucleus
Go Critical radius of nucleus = 2*Surface free energy*Melting temperature/(Latent Heat of Fusion*Undercooling value)
Volume free energy
Go Volume free energy = Latent Heat of Fusion*Undercooling value/Melting temperature
Critical free energy for nucleation( from volume free energy)
Go Critical free energy = 16*pi*Surface free energy^3/(3*Volume free energy^2)
Energy of photon
Go Energy of photon = [hP]*[c]/Wavelength of photon
Critical radius of nucleus (from volume free energy)
Go Critical radius of nucleus = -2*Surface free energy/Volume free energy
Half Life period of first order reaction
Go Half Life Period = ln(2)/Rate Constant

Total free energy change during solidification Formula

Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)
𝚫G = ((4/3)*pi*r^3*𝚫Gv)+(4*pi*r^2*𝛾)

Nucleation and growth

The progress of solidification involves two distinct stages: nucleation and growth. Nucleation involves the appearance of very small particles, or nuclei of the solid (often consisting of only a few hundred atoms), which are capable of growing. During the growth stage these nuclei increase in size, which results in the disappearance of some (or all) of the parent phase. The transformation reaches completion if the growth of these new phase particles is allowed to proceed until the equilibrium fraction is reached.

How to Calculate Total free energy change during solidification?

Total free energy change during solidification calculator 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 calculate 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 calculate Total free energy change during solidification using this online calculator? To use this online calculator for Total free energy change during solidification, enter Radius of nucleus (r), Volume free energy (𝚫Gv) & Surface free energy (𝛾) and hit the calculate button. Here is how the Total free energy change during solidification calculation can be explained with given input values -> 2.5E-16 = ((4/3)*pi*1E-08^3*(-10000))+(4*pi*1E-08^2*0.2).

FAQ

What is Total free energy change during solidification?
Total free energy change during solidification is the difference in free energy due to solidification including both volumetric and surface area contributions and is represented as 𝚫G = ((4/3)*pi*r^3*𝚫Gv)+(4*pi*r^2*𝛾) or Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy). Radius of nucleus is the radius of nucleus formed during the solidification, Volume free energy is the free energy difference between the solid and liquid phases & Surface free energy is the energy to create solid–liquid phase boundary during the solidification.
How to calculate Total free energy change during solidification?
Total free energy change during solidification is the difference in free energy due to solidification including both volumetric and surface area contributions is calculated using Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy). To calculate Total free energy change during solidification, you need Radius of nucleus (r), Volume free energy (𝚫Gv) & Surface free energy (𝛾). With our tool, you need to enter the respective value for Radius of nucleus, Volume free energy & Surface free energy 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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