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Translational Partition Function using Thermal de Broglie Wavelength Formula

GoTranslational Partition Function Formula

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Translational Partition Function is the contribution to the total partition function due to translational motion. Check FAQs

q trans = \frac{V}{{(Λ)}^{3}}

q_trans - Translational Partition Function?V - Volume?Λ - Thermal de Broglie Wavelength?

Translational Partition Function using Thermal de Broglie Wavelength Example

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Here is how the Translational Partition Function using Thermal de Broglie Wavelength equation looks like with Values.

Here is how the Translational Partition Function using Thermal de Broglie Wavelength equation looks like with Units.

Here is how the Translational Partition Function using Thermal de Broglie Wavelength equation looks like.

1.4E+30 = \frac{0.0221}{{(2.5E-11)}^{3}}

1.4E+30 = \frac{0.0221m³}{{(2.5E-11m)}^{3}}

1.4E+30 = \frac{0.0221}{{(2.5E-11)}^{3}}

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Translational Partition Function using Thermal de Broglie Wavelength Solution

Follow our step by step solution on how to calculate Translational Partition Function using Thermal de Broglie Wavelength?

FIRST Step Consider the formula

q trans = \frac{V}{{(Λ)}^{3}}

Next Step Substitute values of Variables

∴

q trans = \frac{0.0221m³}{{(2.5E-11m)}^{3}}

Next Step Prepare to Evaluate

∴

q trans = \frac{0.0221}{{(2.5E-11)}^{3}}

Next Step Evaluate

∴

q trans = 1.38348990389807E+30

LAST Step Rounding Answer

∴

q trans = 1.4E+30

Translational Partition Function using Thermal de Broglie Wavelength Formula Elements

Variables

Translational Partition Function

Translational Partition Function is the contribution to the total partition function due to translational motion.

Symbol: q_trans

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Translational Partition Function

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

Thermal de Broglie Wavelength

Thermal de Broglie Wavelength is roughly the average de Broglie wavelength of particles in an ideal gas at the specified temperature.

Symbol: Λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Thermal de Broglie Wavelength

Other Formulas to find Translational Partition Function

Go Translational Partition Function

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

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

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°}))

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)

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}})

How to Evaluate Translational Partition Function using Thermal de Broglie Wavelength?

Translational Partition Function using Thermal de Broglie Wavelength evaluator uses Translational Partition Function = Volume/(Thermal de Broglie Wavelength)^3 to evaluate the Translational Partition Function, The Translational Partition Function using Thermal de Broglie Wavelength formula is defined as contribution to the total partition function due to translational motion where de broglie wavelength is involved. Translational Partition Function is denoted by q_trans symbol.

How to evaluate Translational Partition Function using Thermal de Broglie Wavelength using this online evaluator? To use this online evaluator for Translational Partition Function using Thermal de Broglie Wavelength, enter Volume (V) & Thermal de Broglie Wavelength (Λ) and hit the calculate button.

FAQs on Translational Partition Function using Thermal de Broglie Wavelength

What is the formula to find Translational Partition Function using Thermal de Broglie Wavelength?

The formula of Translational Partition Function using Thermal de Broglie Wavelength is expressed as Translational Partition Function = Volume/(Thermal de Broglie Wavelength)^3. Here is an example- 1.4E+30 = 0.02214/(2.52E-11)^3.

How to calculate Translational Partition Function using Thermal de Broglie Wavelength?

With Volume (V) & Thermal de Broglie Wavelength (Λ) we can find Translational Partition Function using Thermal de Broglie Wavelength using the formula - Translational Partition Function = Volume/(Thermal de Broglie Wavelength)^3.

What are the other ways to Calculate Translational Partition Function?

Here are the different ways to Calculate Translational Partition Function-

Translational Partition Function=Volume*((2*pi*Mass*[BoltZ]*Temperature)/([hP]^2))^(3/2)

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Translational Partition Function using Thermal de Broglie Wavelength Formula

​GoTranslational Partition Function Formula

Translational Partition Function using Thermal de Broglie Wavelength Example

Translational Partition Function using Thermal de Broglie Wavelength Solution

Translational Partition Function using Thermal de Broglie Wavelength Formula Elements

Other Formulas to find Translational Partition Function

Other formulas in Distinguishable Particles category

How to Evaluate Translational Partition Function using Thermal de Broglie Wavelength?

FAQs on Translational Partition Function using Thermal de Broglie Wavelength

Variable Name

GoTranslational Partition Function Formula