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Total Number of Microstates in All Distributions Calculator

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Distinguishable Particles Indistinguishable Particles

✖Total Number of Particles is defined as the entire composition of the particles present in a system.ⓘ Total Number of Particles [N']			+10% -10%
✖Number of Quanta of Energy is the quantity of energy in the maximum energy level.ⓘ Number of Quanta of Energy [E]			+10% -10%

✖Total Number of Microstates is the number of microstates present in all distributions.ⓘ Total Number of Microstates in All Distributions [W_tot]

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Total Number of Microstates in All Distributions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Number of Microstates = ((Total Number of Particles+Number of Quanta of Energy-1)!)/((Total Number of Particles-1)!*(Number of Quanta of Energy!))
W_tot = ((N'+E-1)!)/((N'-1)!*(E!))
This formula uses 3 Variables

Variables Used

Total Number of Microstates - Total Number of Microstates is the number of microstates present in all distributions.
Total Number of Particles - Total Number of Particles is defined as the entire composition of the particles present in a system.
Number of Quanta of Energy - Number of Quanta of Energy is the quantity of energy in the maximum energy level.

STEP 1: Convert Input(s) to Base Unit

Total Number of Particles: 5 --> No Conversion Required
Number of Quanta of Energy: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_tot = ((N'+E-1)!)/((N'-1)!*(E!)) --> ((5+4-1)!)/((5-1)!*(4!))

Evaluating ... ...

W_tot = 70

STEP 3: Convert Result to Output's Unit

70 --> No Conversion Required

FINAL ANSWER

70 <-- Total Number of Microstates

(Calculation completed in 00.005 seconds)

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Determination of Entropy using Sackur-Tetrode Equation

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Total Number of Microstates in All Distributions

LaTeX Go Total Number of Microstates = ((Total Number of Particles+Number of Quanta of Energy-1)!)/((Total Number of Particles-1)!*(Number of Quanta of Energy!))

Translational Partition Function

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

Translational Partition Function using Thermal de Broglie Wavelength

LaTeX Go Translational Partition Function = Volume/(Thermal de Broglie Wavelength)^3

Total Number of Microstates in All Distributions Formula

LaTeX Go

Total Number of Microstates = ((Total Number of Particles+Number of Quanta of Energy-1)!)/((Total Number of Particles-1)!*(Number of Quanta of Energy!))
W_tot = ((N'+E-1)!)/((N'-1)!*(E!))

What is Statistical Thermodynamics?

Statistical thermodynamics is a theory that uses molecular properties to predict the behavior of macroscopic quantities of compounds. While the origins of statistical thermodynamics predate the development of quantum mechanics, the modern development of statistical thermodynamics assumes that the quantized energy levels associated with a particular system are known. From these energy-level data, a temperature-dependent quantity called the partition function can be calculated. From the partition function, all of the thermodynamic properties of the system can be calculated.
Statistical thermodynamics has also been applied to the general problem of predicting reaction rates. This application is called transition state theory or the theory of absolute reaction rates.

How to Calculate Total Number of Microstates in All Distributions?

Total Number of Microstates in All Distributions calculator uses Total Number of Microstates = ((Total Number of Particles+Number of Quanta of Energy-1)!)/((Total Number of Particles-1)!*(Number of Quanta of Energy!)) to calculate the Total Number of Microstates, The Total Number of Microstates in All Distributions formula is defined as number of microstates present in all the distribution present in the system. Total Number of Microstates is denoted by W_tot symbol.

How to calculate Total Number of Microstates in All Distributions using this online calculator? To use this online calculator for Total Number of Microstates in All Distributions, enter Total Number of Particles (N') & Number of Quanta of Energy (E) and hit the calculate button. Here is how the Total Number of Microstates in All Distributions calculation can be explained with given input values -> 70 = ((5+4-1)!)/((5-1)!*(4!)).

FAQ

What is Total Number of Microstates in All Distributions?

The Total Number of Microstates in All Distributions formula is defined as number of microstates present in all the distribution present in the system and is represented as W_tot = ((N'+E-1)!)/((N'-1)!*(E!)) or Total Number of Microstates = ((Total Number of Particles+Number of Quanta of Energy-1)!)/((Total Number of Particles-1)!*(Number of Quanta of Energy!)). Total Number of Particles is defined as the entire composition of the particles present in a system & Number of Quanta of Energy is the quantity of energy in the maximum energy level.

How to calculate Total Number of Microstates in All Distributions?

The Total Number of Microstates in All Distributions formula is defined as number of microstates present in all the distribution present in the system is calculated using Total Number of Microstates = ((Total Number of Particles+Number of Quanta of Energy-1)!)/((Total Number of Particles-1)!*(Number of Quanta of Energy!)). To calculate Total Number of Microstates in All Distributions, you need Total Number of Particles (N') & Number of Quanta of Energy (E). With our tool, you need to enter the respective value for Total Number of Particles & Number of Quanta of Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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