The energy difference for the transition in hydrogen atoms for 1 mol is 1.82285 * 10^2 KJ / mol
1 / λ = Rh(1 / n1^2 - 1 / n2^2)
ΔE = Rh (1 / n1^2 - 1 / n2^2)
Rh = 2.18 * 10^-18
ΔE = 2.18 * 10^-18 * (1 / 2^2 - 1 / 3^2)
ΔE = 2.18 * 10^-18 *(1 / 4 - 1 / 9)
ΔE = 3.027 * 10^-19 J
(ΔE)1mol = ΔE * [tex]N_{A}[/tex]
(ΔE)1mol = 3.027 * 10^-19 * 6.022 * 10^23
(ΔE)1mol = 182285.94 J/mol
(ΔE)1mol = 182.285 KJ / mol
(ΔE)1mol = 1.82285 * 10^2 KJ / mol
The energy difference for the transition in hydrogen atoms for 1 mol is 1.82285 * 10^2 KJ / mol
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Complete question:
Calculate the energy difference for the electron transition of n = 3 to n = 2 for 1.00 mol of hydrogen atoms.