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