Thermodynamic Equilibrium of N2 Molecule in Electrical Discharge

[asdf1]

for the following question:
spectroscopic observation of molecular N2 in an electrical discharge shows that the relative numbers of molecules in excited bivrational states with energies given by (epsilon)i=(i+1/2)hv
are i 0 1 2 3
ni/n 1.00 0.25 0.062 0.016
show that the gas in the thermodynamic equilivrium with respect to the distributioonn of vibrational energy, and calculate the temperature of the gas.

 

[SpaceTiger]

You have over 400 posts and you don't know to show some work on homework problems?

How are energy states distributed in equilibrium? Is there a particular formula that might provide the nuts and bolts (hint hint) for constructing a solution to the problem?

 

[asdf1]

@@
sorry about that~
the only formula i know is the Boltzmann formula (S=kln(omega))
but i think it has nothing to do with that, right?

 

[SpaceTiger]

See if http://www.chemsoc.org/exemplarchem/entries/pkirby/exemchem/Boltzmann/Boltzmann.html" website gives you any ideas.

 

[asdf1]

thank you!