At higher temperature rate, transition of atoms of sodium occurs from 4s to 3p state and the average wavelength of sodium due to the emission is 1139 nm. Ratio of excited state 4 seconds to ground state 3seconds needs to be calculated for acetylene- oxygen flame of 3000oC.
Calculation of ratio is done by using the Boltzmann equation, given as-
Nj = no. of ions in excited state
No = no. of ions in ground state
Ej = energy difference of excited state and ground state
gj = statistical weight for excited state
go = statistical weight for ground state
k= Boltzmann constant
T = absolute temperature
Energy of atom is calculated by the following formula-
h= Planck’s constant
c = light velocity
Ej= energy difference
Ratio of excited state 4s to ground state 3s needs to be calculated for an inductively coupled plasma source of 9000oC.
Calculation will be done using the following formulas-
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