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Electronic Transitions in the Hydrogen Atom Using Figure

Chemistry: A Molecular Approach | 3rd Edition | ISBN: 9780321809247 | Authors: Nivaldo J. Tro ISBN: 9780321809247 1

Solution for problem 2PE Chapter 6.4SE

Chemistry: A Molecular Approach | 3rd Edition

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Chemistry: A Molecular Approach | 3rd Edition | ISBN: 9780321809247 | Authors: Nivaldo J. Tro

Chemistry: A Molecular Approach | 3rd Edition

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Problem 2PE

Electronic Transitions in the Hydrogen Atom Using Figure predict which of these electronic transitions produces the spectral line having the longest wavelength: n = 2 to n=1,n = 3 to n = 2, or n = 4 to n = 3. ? Figure Energy levels in the hydrogen atom from the Bohr model. The arrows refer to the transitions of the electron from one allowed energy state to another. The states shown are those for which n = 1 through n = 6 and the state for n = °° for which the energy, E, equals zero. For each of the following transitions, give the sign of AE and indicate whether a photon is emitted or absorbed: (a) n = 3 to n = 1; (b) n = 2 to n = 4.

Step-by-Step Solution:
Step 1 of 3

Solution: Here, we are going to determine the sign of E for the given transitions and also indicate whether a photon is emitted or absorbed. Step1: The spectrum of hydrogen atom has played a very important role in the development of atomic structure. It can be obtained by passing an electric discharge through the gas taken in the discharge tube under low pressure. The emitted light is analysed with the help of spectroscope. The spectrum consists of a large number of lines appearing in different regions of wavelengths. The line spectrum observed in case of hydrogen atom can be quantitatively explained using Bohr’s model. When an electron jumps from a lower orbit to a higher orbit, it absorbs energy. When the electron jumps from higher orbit to lower orbit, it emits energy. The amount of energy absorbed or emitted when an electron jumps from orbit n(initial orbit) to i orbit n(fifl orbit) may be given as: --------(1) Step2: 2 2 In case of absorption spectrum, i.e., n > n, the term [(1/nf - i/n )] becomes negativefo that i E is positive and hence energy is absorbed. In case of emission spectrum, i.e., n > n, the term [(1/i ) -f1/n )] becomes positive f that E i is negative and hence energy is emitted. Step3: a) For the transition, n = 3 to n = i n > n andf nce E ii egafve. Since, the transition is from higher energy level to lower energy level, therefore, photon is emitted. b) For the transition, n = 2 to n = 4, n < n and hence E is positive. Since, the transition is i f i f from lower energy level to higher energy level, therefore, photon is absorbed. ------------------

Step 2 of 3

Chapter 6.4SE, Problem 2PE is Solved
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Textbook: Chemistry: A Molecular Approach
Edition: 3
Author: Nivaldo J. Tro
ISBN: 9780321809247

Chemistry: A Molecular Approach was written by and is associated to the ISBN: 9780321809247. This full solution covers the following key subjects: transitions, Energy, hydrogen, state, figure. This expansive textbook survival guide covers 82 chapters, and 9454 solutions. The full step-by-step solution to problem: 2PE from chapter: 6.4SE was answered by , our top Chemistry solution expert on 02/22/17, 04:35PM. This textbook survival guide was created for the textbook: Chemistry: A Molecular Approach, edition: 3. The answer to “Electronic Transitions in the Hydrogen Atom Using Figure predict which of these electronic transitions produces the spectral line having the longest wavelength: n = 2 to n=1,n = 3 to n = 2, or n = 4 to n = 3. ? Figure Energy levels in the hydrogen atom from the Bohr model. The arrows refer to the transitions of the electron from one allowed energy state to another. The states shown are those for which n = 1 through n = 6 and the state for n = °° for which the energy, E, equals zero. For each of the following transitions, give the sign of AE and indicate whether a photon is emitted or absorbed: (a) n = 3 to n = 1; (b) n = 2 to n = 4.” is broken down into a number of easy to follow steps, and 133 words. Since the solution to 2PE from 6.4SE chapter was answered, more than 360 students have viewed the full step-by-step answer.

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Electronic Transitions in the Hydrogen Atom Using Figure