4. Consider only the four following quantum levels for the H atoms (n = 4, n = 3, n = 2, and n = 1). The emission spectrum of an excited H atom will consist of transitions between these levels. emission lines are possible, considering only the four quantum levels above? (a) How many (b) Photons of the highest energy will be emitted in a transition from the level with n = to the level with n = (c) The emission line having the longest wavelength corresponds to a transition from the level with n= to the level with n =

Answered: 4. Consider only the four following quantum levels for the H atoms (n = 4, n = 3, n = 2, and n = 1). The emission spectrum of an excited H atom will consist of…

Chemistry

10th Edition

ISBN: 9781305957404

Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher: Cengage Learning

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Quantum Chemistry

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Question

4. Consider only the four following quantum levels for the H atoms (n = 4, n = 3, n = 2, and
n = 1). The emission spectrum of an excited H atom will consist of transitions between these
levels.
(a) How many emission lines are possible, considering only the four quantum levels above?
(b) Photons of the highest energy will be emitted in a transition from the level with
n = to the level with n = _______
(c) The emission line having the longest wavelength corresponds to a transition from the
level with n=
to the level with n =

Expert Solution

Step 1: Important relation required to solve the problem

Answer:

According to Bohr's model energy of any level n in hydrogen atom is:

$straight E subscript straight n equals negative fraction numerator 2.18 cross times 10 to the power of negative 18 end exponent over denominator straight n squared end fraction straight J$

Energy of photon:

$straight E subscript photon equals hc over straight lambda$

Here: h and c are constants and $lambda$ is the wavelength of photon.

Formula for the calculation of total spectral lines:

$Total space spectral space lines equals fraction numerator straight n left parenthesis straight n minus 1 right parenthesis over denominator 2 end fraction$

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