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

GoDetermination of Helmholtz Free Energy using Sackur-Tetrode Equation 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 (q)

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 Distinguishable Particles Example

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

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

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

-11.7351 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (110.65)

-11.7351KJ = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot \ln (110.65)

-11.7351 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (110.65)

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

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

FIRST Step Consider the formula

A = - N A \cdot [BoltZ] \cdot T \cdot \ln (q)

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

A = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (110.65)

Next Step Evaluate

∴

A = -11735.1092044904J

Next Step Convert to Output's Unit

∴

A = -11.7351092044904KJ

LAST Step Rounding Answer

∴

A = -11.7351KJ

Determination of Helmholtz Free Energy using Molecular PF for Distinguishable 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 to find Helmholtz Free Energy

Go Determination of Helmholtz Free Energy using Sackur-Tetrode Equation

A = - R \cdot T \cdot (\ln (\frac{[BoltZ] \cdot T}{p} \cdot {(\frac{2 \cdot π \cdot m \cdot [BoltZ] \cdot T}{{[hP]}^{2}})}^{\frac{3}{2}}) + 1)

Other formulas in Distinguishable Particles category

Go Total Number of Microstates in All Distributions

W tot = \frac{(N' + E - 1)!}{(N' - 1)! \cdot (E!)}

Go Translational Partition Function

q trans = V \cdot {(\frac{2 \cdot π \cdot m \cdot [BoltZ] \cdot T}{{[hP]}^{2}})}^{\frac{3}{2}}

Go Translational Partition Function using Thermal de Broglie Wavelength

q trans = \frac{V}{{(Λ)}^{3}}

Go Determination of Entropy using Sackur-Tetrode Equation

S° m = R \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (A r) + (\frac{5}{2}) \cdot \ln (T) - \ln (\frac{p}{p°}))

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

Determination of Helmholtz Free Energy using Molecular PF for Distinguishable Particles evaluator uses Helmholtz Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*ln(Molecular Partition Function) to evaluate the Helmholtz Free Energy, Determination of Helmholtz Free Energy using Molecular PF for Distinguishable Particles formula is defined as the method in which we can calculate the Helmholtz free energy from the molecular partition function. Helmholtz Free Energy is denoted by A symbol.

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

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

The formula of Determination of Helmholtz Free Energy using Molecular PF for Distinguishable Particles is expressed as Helmholtz Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*ln(Molecular Partition Function). Here is an example- -0.039117 = -6.02E+23*[BoltZ]*300*ln(110.65).

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

What are the other ways to Calculate Helmholtz Free Energy?

Here are the different ways to Calculate Helmholtz Free Energy-

Helmholtz Free Energy=-Universal Gas Constant*Temperature*(ln(([BoltZ]*Temperature)/Pressure*((2*pi*Mass*[BoltZ]*Temperature)/[hP]^2)^(3/2))+1)

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

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

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

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

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

​GoDetermination of Helmholtz Free Energy using Sackur-Tetrode Equation Formula

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

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

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

Other Formulas to find Helmholtz Free Energy

Other formulas in Distinguishable Particles category

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

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

Variable Name

GoDetermination of Helmholtz Free Energy using Sackur-Tetrode Equation Formula