Chemical Bonding Worksheet With Answers Page 3

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2.15
For a K
–Cl
ion pair, attractive and repulsive energies E
and E
, respectively, depend on the
A
R
distance between the ions r, according to
1.436
= −
E
A
r
− 6
5.8 × 10
=
E
R
9
r
+
For these expressions, energies are expressed in electron volts per K
–Cl
pair, and r is the distance in nanometers.
The net energy E
is just the sum of the two expressions above.
N
(a) Superimpose on a single plot E
, E
, and E
versus r up to 1.0 nm.
N
R
A
+
(b) On the basis of this plot, determine (i) the equilibrium spacing r
between the K
and Cl
ions, and (ii)
0
the magnitude of the bonding energy E
between the two ions.
0
(c) Mathematically determine the r
and E
values using the solutions to Problem 2.14 and compare these
0
0
with the graphical results from part (b).
Solution
(a) Curves of E
, E
, and E
are shown on the plot below.
A
R
N
(b) From this plot
= 0.28 nm
r
0
= – 4.6 eV
E
0

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