Artificial System's Temperature

 
Figure 1: Energy Level System of Artificial System

Consider a system which has several energy levels as shown. Expressing energies in cm^-1 the diagram shows a doubly degenerate ground state, and 4 excited states.

and expressing energies in , the diagram shows a doubly degenerate ground state, and 4 excited states.

At 0°K, the partition function is 2. At infinite temperature, the partition function has a certain (obvious) value. What is the temperature (in °K) when the partition function has the value ? (Hint, consider using trial and error.)

Choose your answer in scientific notation, i.e., ± x.yzE{± ab}, and then press the 'Submit the above answer' button (below).

+ - 1 2 3 4 5 6 7 8 9 . 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 E{ + - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 }