Answer:
T = 525K
Explanation:
The temperature of the two-level system can be calculated using the equation of Boltzmann distribution:
(1)
<em>where Ni: is the number of particles in the state i, N: is the total number of particles, ΔE: is the energy separation between the two levels, k: is the Boltzmann constant, and T: is the temperature of the system </em>
The energy between the two levels (ΔE) is:
<em>where h: is the Planck constant, c: is the speed of light and k: is the wavenumber</em>
Solving the equation (1) for T:
<em>With Ni = N/3 and k = 1.38x10⁻²³ J/K, </em><em>the temperature of the two-level system is:</em><em> </em>
I hope it helps you!