Why I can't calculate the same answer as the solution below? I use the value as what the below solution showed.(adsbygoogle = window.adsbygoogle || []).push({});

Q:

Where Nj is the number of atoms in excited state, No is the number of atoms in the

ground state, Pj and Po are constants determined by the number of states having equal

energy at each quantum level, Ej is the energy difference between excited and ground

states, K is the Boltzmann constant, and T is the absolute temperature. To understand

the application of this equation let us consider the situation of sodium atoms in the 3s

state (Po = 2) when excited to the 3p excited state (Pj = 6) at two different

temperatures 2500 and 2510K. Now let us apply the equation to calculate the relative

number of atoms in the ground and excited states:

Usually we use the average of the emission lines from the 3p to 3s where we have two

lines at 589.0 and 589.6 nm which is:

Solution:

λ = (589.0+589.6)/2 = 589.3 nm

Ej = hc/λ

Ej = (6.6256x10-34 J s x 2.998x1010 cm s-1)/{(589.3 nm x (cm/ 107 nm)}

Ej = 3.37x10-19 J

Nj/No = (6/2) exp {(-3.37x10-19 J/(1.38x10-23 J K-1 x 2500 K)}

Nj/No = 1.72x10-4

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# Boltzmann equation

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