Exercise 4 | Early Quantum Theory

Name: Exercise 4 | Early Quantum Theory
Creator: Chemistry Coach
License: https://chemistry.coach/general-chemistry-1

Chapter 4 - Early Quantum Theory

Calculate the wavelength of the line in the Lyman series that results from the transition n=4 to n=1.
Is light absorbed or emitted during this process?

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Solution

E₄ > E₁ ⇒ E = E₄ – E₁ = $\frac{- 2.1799 \times 10^{- 18}}{\frac{1}{4^{2}} - 1}$ = 2.04 x 10^-18J

E = $\frac{hc}{λ}$ ⇒ λ = $\frac{hc}{E}$ = 9.74 x 10^-8 m

E₄ > E₁⇒ emission

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