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Boltzmann-Planck Equation Formula

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Entropy is a scientific concept that is most commonly associated with a state of disorder, randomness, or uncertainty. Check FAQs

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

S - Entropy?W - Number of Microstates in a Distribution?[BoltZ] - Boltzmann constant?

Boltzmann-Planck Equation Example

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Here is how the Boltzmann-Planck Equation equation looks like with Values.

Here is how the Boltzmann-Planck Equation equation looks like with Units.

Here is how the Boltzmann-Planck Equation equation looks like.

4.7E-23 = 1.4E-23 \cdot \ln (30)

4.7E-23J/K = 1.4E-23J/K \cdot \ln (30)

4.7E-23 = 1.4E-23 \cdot \ln (30)

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Boltzmann-Planck Equation Solution

Follow our step by step solution on how to calculate Boltzmann-Planck Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = [BoltZ] \cdot \ln (30)

Next Step Substitute values of Constants

∴

S = 1.4E-23J/K \cdot \ln (30)

Next Step Prepare to Evaluate

∴

S = 1.4E-23 \cdot \ln (30)

Next Step Evaluate

∴

S = 4.69585813121973E-23J/K

LAST Step Rounding Answer

∴

S = 4.7E-23J/K

Boltzmann-Planck Equation Formula Elements

Variables

Constants

Functions

Entropy

Entropy is a scientific concept that is most commonly associated with a state of disorder, randomness, or uncertainty.

Symbol: S

Measurement: EntropyUnit: J/K

Note: Value can be positive or negative.

Formulas to find Entropy

Number of Microstates in a Distribution

Number of Microstates in a Distribution describes the precise positions and momenta of all the individual particles or components that make up the distribution.

Symbol: W

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Microstates in a Distribution

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 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 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 Boltzmann-Planck Equation?

Boltzmann-Planck Equation evaluator uses Entropy = [BoltZ]*ln(Number of Microstates in a Distribution) to evaluate the Entropy, The Boltzmann-Planck Equation formula is defined as a probability equation relating the entropy a probability equation relating the entropy , also written as , of an ideal gas to the multiplicity(W), the number of real microstates corresponding to a gas's macrostate. Entropy is denoted by S symbol.

How to evaluate Boltzmann-Planck Equation using this online evaluator? To use this online evaluator for Boltzmann-Planck Equation, enter Number of Microstates in a Distribution (W) and hit the calculate button.

FAQs on Boltzmann-Planck Equation

What is the formula to find Boltzmann-Planck Equation?

The formula of Boltzmann-Planck Equation is expressed as Entropy = [BoltZ]*ln(Number of Microstates in a Distribution). Here is an example- 4.7E-23 = [BoltZ]*ln(30).

How to calculate Boltzmann-Planck Equation?

With Number of Microstates in a Distribution (W) we can find Boltzmann-Planck Equation using the formula - Entropy = [BoltZ]*ln(Number of Microstates in a Distribution). This formula also uses Boltzmann constant and Natural Logarithm (ln) function(s).

Can the Boltzmann-Planck Equation be negative?

Yes, the Boltzmann-Planck Equation, measured in Entropy can be negative.

Which unit is used to measure Boltzmann-Planck Equation?

Boltzmann-Planck Equation is usually measured using the Joule per Kelvin[J/K] for Entropy. Joule per Kilokelvin[J/K], Joule per Fahrenheit[J/K], Joule per Celsius[J/K] are the few other units in which Boltzmann-Planck Equation can be measured.

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