Answered: When an electron is excited from n=2 to…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

When an electron is excited from n=2 to n=6, a photon of violet light is absorbed. If an electron on a Li^2+ ion is absorbed from n=4, which energy level must it rise to for violet of a similar wavelength is absorbed?

Expert Solution

Step 1

Write the equation for energy of electron as follows:

$E = \frac{h c}{λ} - 13.6 (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}) e V = \frac{h c}{λ} . . . . . . (1)$

Planks constant, $h = 6.626 \times 10^{- 34} J \cdot s$

velocity of light, $c = 3 \times 10^{8} m / s$

initial energy level, $n_{1} = 2$

final energy level, $n_{2} = 6$

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