## Transcribed Text

Chapter 2 Assignment: Energy levels of the Hydrogen Atom
A. Calculations of the energy levels of the hydrogen atom
Each energy level n the atom has a specific energy is given by the following equation:
E,
(wheren=1,2,3,..)
where the energy level, Eni sthe energy of level and Zis the atomic number element For hydrogen,
Z=1 and the equation becomes
1) The equation above gives the eneroy per
E,
hydrogen atom The
the easier
below, converting
179x10 3/atom) mole Hint: Ifthe energy is -2.179x10" will energy
become bigger amole atoms? More negative, less negative?)
kJ per mo
E,
2)
Theoreticall
of
energy
levels
will
focus
on
the
first ten.
Using
equation you Question above (giving kJ per mole atoms), complete the following
table
energies
nelettron
particular
energy
level.
Energy,
Quantum
Energy inko/mol
Number,r
6
7
3
8
4
9
5
10
the energy values it Table below by drawing horizontal line across the y-axis
the horizontal
example
You wil
soon
to get al he lines nthe traph- the best you can (like least the first levels).
Energy
(kJ/mol)
-1312 kJ/mol n=1
the spacing energy levels as increases?
Put this into your graph.
B. Calculation the wavelengths the lines the hydrogen spectrum
The observed light emitted by of electrons h yhdrogen atoms
fromhigher energy levels to lower energy levels Therefore the energy of the photons calculated
by
Enstial or AE- Em Elo (since the absolute value of interest)
To complete the upper half box. use the values calculated in Table to find the change
nenergy using the equation above example for an electron going from the second energy
level othe first Do all upper halves of the boxes
To
complete
the
associated
with
the
energy
changes
that
were
the
which rearrang
1.196x103
AE(kJ/mol)
where N° Avogadro constant, h- Planck speed of light (converted to nm/s)
Table 2
n higher)
984
1
2
3
4
5
Part ( Assigament of electronic transitions to wavelengths
Using Table from Part assign as many ofte followine you can The first is shown anexample
The wavelengths may not exactly mach your calculated ones There will be four left blank these will
explained with Table-
Table 3
Wavelength
Assignment
Wavelength
Assignment
Wavelength
(nm)
(nm)
Assignment
now
97.25
410.29
1005.2
102.57
434.17
1094.1
121.57
486.27
1282.2
389.02
656.47
1875.6
397.12
954.86
4052.3
There were four wavelengths above. Transfer them Table4
They are only considers to six energy levels Yo u calculated the
energies Table Using Table Table take aguess &t transition Ther
do
are correct The first one is done for you (without the calculation
shown).
Table
Unassigned Wavelengths
AF (kJ/mol)
Probable transition
(in nm)from Table
(Dayar Mower)
389.02
307.5
2

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