HW #1
2.2 Chromium has four naturally-occurring isotopes: 4.34% of 50Cr, with an atomic weight of 49.9460 amu, 83.79%
of 52Cr, with an atomic weight of 51.9405 amu, 9.50% of 53Cr, with an atomic weight of 52.9407 amu, and 2.37% of
54Cr, with an atomic weight of 53.9389 amu. On the basis of these data, confirm that the average atomic weight of
Cr is 51.9963 amu.
Solution
The average atomic weight of silicon
(A
Cr )
is computed by adding fraction-of-occurrence/atomic weight
products for the three isotopes. Thus
A
Cr = f50Cr A50Cr + f52Cr A52Cr f53Cr A53Cr f54Cr A54Cr
(0.0434)(49.9460 amu) + (0.8379)(51.9405 amu) + (0.0950)(52.9407 amu) + (0.0237)(53.9389 amu) = 51.9963 amu
2.7 Give the electron configurations for the following ions: Fe2+, Al3+, Cu+, Ba2+, Br-, and O2-.
Solution
The electron configurations for the ions are determined using Table 2.2 (and Figure 2.6).
Fe2+: From Table 2.2, the electron configuration for an atom of iron is 1s22s22p63s23p63d64s2. In order to
become an ion with a plus two charge, it must lose two electrons—in this case the two 4s. Thus, the electron
configuration for an Fe2+ ion is 1s22s22p63s23p63d6.
Al3+: From Table 2.2, the electron configuration for an atom of aluminum is 1s22s22p63s23p1. In order to
become an ion with a plus three charge, it must lose three electrons—in this case two 3s and the one 3p. Thus, the
electron configuration for an Al3+ ion is 1s22s22p6.
Cu+: From Table 2.2, the electron configuration for an atom of copper is 1s22s22p63s23p63d104s1. In order
to become an ion with a plus one charge, it must lose one electron—in this case the 4s. Thus, the electron
configuration for a Cu+ ion is 1s22s22p63s23p63d10.
Ba2+: The atomic number for barium is 56 (Figure 2.6), and inasmuch as it is not a transition element the
electron configuration for one of its atoms is 1s22s22p63s23p63d104s24p64d105s25p66s2. In order to become an ion
with a plus two charge, it must lose two electrons—in this case two the 6s. Thus, the electron configuration for a
Ba2+ ion is 1s22s22p63s23p63d104s24p64d105s25p6.
Br-: From Table 2.2, the electron configuration for an atom of bromine is 1s22s22p63s23p63d104s24p5. In
order to become an ion with a minus one charge, it must acquire one electron—in this case another 4p. Thus, the
electron configuration for a Br- ion is 1s22s22p63s23p63d104s24p6.
