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

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Helmholtz Free Energy is a concept in thermodynamics where the work of a closed system with constant temperature and volume is measured using thermodynamic potential. Check FAQs

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

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

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

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

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

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

122.2992 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot (\ln (\frac{110.65}{6E+23}) + 1)

122.2992KJ = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot (\ln (\frac{110.65}{6E+23}) + 1)

122.2992 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot (\ln (\frac{110.65}{6E+23}) + 1)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = - 6E+23 \cdot [BoltZ] \cdot 300K \cdot (\ln (\frac{110.65}{6E+23}) + 1)

Next Step Substitute values of Constants

∴

A = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot (\ln (\frac{110.65}{6E+23}) + 1)

Next Step Prepare to Evaluate

∴

A = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot (\ln (\frac{110.65}{6E+23}) + 1)

Next Step Evaluate

∴

A = 122299.225488437J

Next Step Convert to Output's Unit

∴

A = 122.299225488438KJ

LAST Step Rounding Answer

∴

A = 122.2992KJ

Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles Formula Elements

Variables

Constants

Functions

Helmholtz Free Energy

Helmholtz Free Energy is a concept in thermodynamics where the work of a closed system with constant temperature and volume is measured using thermodynamic potential.

Symbol: A

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Helmholtz 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 Gibbs Free energy using Molecular PF for Indistinguishable Particles

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

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 Helmholtz Free Energy using Molecular PF for Indistinguishable Particles?

Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles evaluator uses Helmholtz Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*(ln(Molecular Partition Function/Number of Atoms or Molecules)+1) to evaluate the Helmholtz Free Energy, The Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles formula is defined as as the method in which the Helmholtz free energy for n- indistinguishable particles can be found using the molecular partition function. Helmholtz Free Energy is denoted by A symbol.

How to evaluate Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles using this online evaluator? To use this online evaluator for Determination of Helmholtz 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 Helmholtz Free Energy using Molecular PF for Indistinguishable Particles

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

The formula of Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles is expressed as Helmholtz Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*(ln(Molecular Partition Function/Number of Atoms or Molecules)+1). Here is an example- 0.407664 = -6.02E+23*[BoltZ]*300*(ln(110.65/6.02E+23)+1).

How to calculate Determination of Helmholtz 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 Helmholtz Free Energy using Molecular PF for Indistinguishable Particles using the formula - Helmholtz Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*(ln(Molecular Partition Function/Number of Atoms or Molecules)+1). This formula also uses Boltzmann constant and Natural Logarithm Function function(s).

Can the Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles be negative?

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

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

Determination of Helmholtz 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 Helmholtz Free Energy using Molecular PF for Indistinguishable Particles can be measured.

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

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

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

Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles Formula Elements

Other formulas in Indistinguishable Particles category

How to Evaluate Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles?

FAQs on Determination of Helmholtz Free Energy using Molecular PF for Indistinguishable Particles

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