Sackur-Tetrode Equation Calculator – Entropy of an Ideal Gas

Tools & Calculators | Bottom Science

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

[box title=”Sackur-Tetrode Equation Calculator” style=”glass” box_color=”#047f88″ title_color=”#FFFFFF” radius=”5″]

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:

 

[/box]

 

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

One thought on “Sackur-Tetrode Equation Calculator – Entropy of an Ideal Gas”

Leave a Reply

Your email address will not be published.