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Topic: Boltzmann Constant Problem  (Read 2588 times)

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Offline pinoyaida

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Boltzmann Constant Problem
« on: September 25, 2013, 09:31:54 PM »
I was given a problem today:

I was to imagine a two-state, two-level system. To each state there corresponds exactly one level (or configuration), and so it is non-degenerate. The energy of state 1 is E1=100cm-1 and of state 2 is E2=200cm-1. What is the probability to be in state 1 at temperature 300K ?

I managed to get a formula algebraically and every thing if fine except when i input the values for e^-(1/KbT)E I get an extremely large number. I was trying to work around this for a while now without a solution.

I did the following for example:

 e^-(1/(1.38x10-²³(meters² x kilograms) / (seconds² x Kelvin))(800kelvin))300cm-¹

Is this wrong? assuming -B = 1/KbT in discreet degenerate energy system.

The formula i found to use in the end is:

e^(-(1/1.38x10-²³ x temperature))E1  /    e^(-(1/1.38x10-²³ x temperature))E1 + 2e^(-(1/1.38x10-²³ x temperature))E2 
« Last Edit: September 25, 2013, 10:27:01 PM by pinoyaida »

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