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

GoDetermination of Gibbs Free Energy using Sackur-Tetrode Equation 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 (q) + p \cdot V

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

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

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

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

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

-9.2969 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (110.65) + 1.123 \cdot 0.0221

-9.2969KJ = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot \ln (110.65) + 1.123at \cdot 0.0221m³

-9.2969 = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (110.65) + 1.123 \cdot 0.0221

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

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

FIRST Step Consider the formula

G = - N A \cdot [BoltZ] \cdot T \cdot \ln (q) + p \cdot V

Next Step Substitute values of Variables

∴

G = - 6E+23 \cdot [BoltZ] \cdot 300K \cdot \ln (110.65) + 1.123at \cdot 0.0221m³

Next Step Substitute values of Constants

∴

G = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot \ln (110.65) + 1.123at \cdot 0.0221m³

Next Step Convert Units

∴

G = - 6E+23 \cdot 1.4E-23J/K \cdot 300K \cdot \ln (110.65) + 110128.6795Pa \cdot 0.0221m³

Next Step Prepare to Evaluate

∴

G = - 6E+23 \cdot 1.4E-23 \cdot 300 \cdot \ln (110.65) + 110128.6795 \cdot 0.0221

Next Step Evaluate

∴

G = -9296.86024036038J

Next Step Convert to Output's Unit

∴

G = -9.29686024036038KJ

LAST Step Rounding Answer

∴

G = -9.2969KJ

Determination of Gibbs Free energy using Molecular PF for Distinguishable 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

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: at

Note: Value can be positive or negative.

Formulas to find Pressure

Volume

Volume is the amount of space that a substance or object occupies, or that is enclosed within a container.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume

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 Gibbs Free Energy

Go Determination of Gibbs Free Energy using Sackur-Tetrode Equation

G = - 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}})

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 Gibbs Free energy using Molecular PF for Distinguishable Particles?

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

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

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

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

The formula of Determination of Gibbs Free energy using Molecular PF for Distinguishable Particles is expressed as Gibbs Free Energy = -Number of Atoms or Molecules*[BoltZ]*Temperature*ln(Molecular Partition Function)+Pressure*Volume. Here is an example- -0.036679 = -6.02E+23*[BoltZ]*300*ln(110.65)+110128.6795*0.02214.

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

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

What are the other ways to Calculate Gibbs Free Energy?

Here are the different ways to Calculate Gibbs Free Energy-

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

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

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

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

Determination of Gibbs 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 Gibbs Free energy using Molecular PF for Distinguishable Particles can be measured.

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

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

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

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

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

Other Formulas to find Gibbs Free Energy

Other formulas in Distinguishable Particles category

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

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

Variable Name

GoDetermination of Gibbs Free Energy using Sackur-Tetrode Equation Formula