Chemistry: The Molecular Nature of Matter and Change 7th Edition

Published by McGraw-Hill Education
ISBN 10: 007351117X
ISBN 13: 978-0-07351-117-7

Chapter 7 - Problems: 7.25

Answer

1875.6 nm

Work Step by Step

1 The least energetic spectral Line for Hydrogen in the infra red range can be obtained when an Electron in H atom jumps from Level 3 to Level 4. Now, Rydberg's Equation is given as : 1/ λ = R [1/(n1)² - 1/(n2)²] Where, λ : Wavelength R : Rydberg's Constant = 1.0967 x 10^7 / m 2 Solution : Here, n1 = 3 n2 = 4 Substituting the values in the Rydberg's formula, 1/ λ = R [1/(3)² - 1/(4)²] 1/ λ = 1.0967 x 10^7 x [1/9 - 1/16] 1/ λ = 1.0967 x 10^7 x (7/144) λ = 1875.6 x 10^-9 m λ = 1875.6 nm
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