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Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Formula

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Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum amount of work, other than pressure-volume work at constant temperature and pressure. Check FAQs

G = - N A \cdot [BoltZ] \cdot T \cdot \ln (\frac{q}{N A})

G - Gibbs Free Energy?N_A - Number of Atoms or Molecules?T - Temperature?q - Molecular Partition Function?[BoltZ] - Boltzmann constant?

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Example

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Here is how the Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles equation looks like with Values.

Here is how the Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles equation looks like with Units.

Here is how the Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles equation looks like.

124.7927 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (\frac{110.65}{6E+23})

124.7927KJ = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot \ln (\frac{110.65}{6E+23})

124.7927 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (\frac{110.65}{6E+23})

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Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Solution

Follow our step by step solution on how to calculate Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles?

FIRST Step Consider the formula

G = - N A \cdot [BoltZ] \cdot T \cdot \ln (\frac{q}{N A})

Next Step Substitute values of Variables

∴

G = - 6E+23 \cdot [BoltZ] \cdot 300K \cdot \ln (\frac{110.65}{6E+23})

Next Step Substitute values of Constants

∴

G = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot \ln (\frac{110.65}{6E+23})

Next Step Prepare to Evaluate

∴

G = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (\frac{110.65}{6E+23})

Next Step Evaluate

∴

G = 124792.676715557J

Next Step Convert to Output's Unit

∴

G = 124.792676715557KJ

LAST Step Rounding Answer

∴

G = 124.7927KJ

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Formula Elements

Variables

Constants

Functions

Gibbs Free Energy

Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum amount of work, other than pressure-volume work at constant temperature and pressure.

Symbol: G

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Gibbs Free Energy

Number of Atoms or Molecules

Number of Atoms or Molecules represents the quantitative value of the total atoms or molecules present in a substance.

Symbol: N_A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Atoms or Molecules

Temperature

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius or Kelvin.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Molecular Partition Function

Molecular Partition Function enables us to calculate the probability of finding a collection of molecules with a given energy in a system.

Symbol: q

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Molecular Partition Function

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Indistinguishable Particles category

Go Mathematical Probability of Occurrence of Distribution

ρ = \frac{W}{W tot}

Go Boltzmann-Planck Equation

S = [BoltZ] \cdot \ln (W)

Go Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles

A = - N A \cdot [BoltZ] \cdot T \cdot (\ln (\frac{q}{N A}) + 1)

Go Determination of Number of Particles in I-th State for Bose-Einstein Statistics

n i = \frac{g}{\exp (α + β \cdot ε i) - 1}

How to Evaluate Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles?

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles evaluator uses Gibbs Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*ln(Molecular Partition Function/Number of Atoms or Molecules) to evaluate the Gibbs Free Energy, The Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles formula is defined as technique in which we can determine the gibbs free energy for indistinguishable particles using molecular partition function. Gibbs Free Energy is denoted by G symbol.

How to evaluate Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles using this online evaluator? To use this online evaluator for Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles, enter Number of Atoms or Molecules (N_A), Temperature (T) & Molecular Partition Function (q) and hit the calculate button.

FAQs on Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles

What is the formula to find Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles?

The formula of Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles is expressed as Gibbs Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*ln(Molecular Partition Function/Number of Atoms or Molecules). Here is an example- 0.415976 = -6.02E+23*[BoltZ]*300*ln(110.65/6.02E+23).

How to calculate Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles?

With Number of Atoms or Molecules (N_A), Temperature (T) & Molecular Partition Function (q) we can find Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles using the formula - Gibbs Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*ln(Molecular Partition Function/Number of Atoms or Molecules). This formula also uses Boltzmann constant and Natural Logarithm (ln) function(s).

Can the Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles be negative?

Yes, the Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles, measured in Energy can be negative.

Which unit is used to measure Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles?

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles can be measured.

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Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Formula

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Example

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Solution

Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles Formula Elements

Other formulas in Indistinguishable Particles category

How to Evaluate Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles?

FAQs on Determination of Gibbs Free energy using Molecular PF for Indistinguishable Particles

Variable Name