The Sackur-Tetrode Equation calculator calculates the entropy of an ideal gas for distinguishable and indistinguishable molecules.

## Sackur-Tetrode Equation (Indistinguishable Molecules):

S=N$\kappa\left[ln(\frac{V}{N}(\frac{4\pi mU}{3Nh^{2}})^{3/2})+\frac{5}{2}\right]$

*(V)* Volume of gas (in $m^{3}$):

*(N)* Number of particles of gas: (**Note:** for 6.022x$10^{23}$, you should write 6.022e+23)

*(m)* Mass of gas (in kg):

*(U)* Internal energy of gas (in joule):

Result:

## Sackur-Tetrode Equation (Distinguishable Molecules):

S=N$\kappa\left[ln(V(\frac{4\pi mU}{3Nh^{2}})^{3/2})+\frac{3}{2}\right]$

*(V)* Volume of gas (in $m^{3}$):

*(N)* Number of particles of gas: (**Note:** for 6.022x$10^{23}$, you should write 6.022e+23)

*(m)* Mass of gas (in kg):

*(U)* Internal energy of gas (in joule):

Result:

## Instructions to Use

- Enter the volume
*(V)*of gas in $m^{3}$. - Enter number of particles
*(N)*of gas. (**Note:**for 6.022x$10^{23}$, you should write 6.022e+23) - Mass of gas
*(m)*(in kg). - Internal energy
*(U)*of gas (in joule):.

## About Equation

S=N$\kappa\left[ln(\frac{V}{N}(\frac{4\pi mU}{3Nh^{2}})^{3/2})+\frac{5}{2}\right]$

Here,

- V is the volume of the gas
- N is the total number of particles in gas
- h is the plank’s constant
- m is the mass of gas
- U is the internal energy of gas
- k is Boltzmann’s constant

See Also | Entropy of a Black Hole | Calculator

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