# Sackur-Tetrode Equation Calculator – Entropy of an Ideal Gas

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

Sackur-Tetrode Equation Calculator

## 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):.

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