Question

Consider a molecule having three energy levels as follows: State Energy (cm−1) degeneracy 1 0 1...

Consider a molecule having three energy levels as follows:

State Energy (cm−1) degeneracy
1 0 1
2 500. 3
3 1500. 5

part a) What is the value of the partition function when T = 360 K ?

part B)What is the value of the partition function when T = 3600K ?

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Answer #1

Solution.

As the system has 3 energy levels, the partition function for this molecule is a sum for the energy levels:

where the thermodynamic beta is given as

The energies should be converted from reciprocal centimeters to a Joules using a formula

part a)

part b)

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