Chapter 6 Homework Solutions
10/18/08
10. a) Wavelength and frequency are inversely proportional.
b) Ultraviolet
13. Wavelength of X-rays < ultraviolet light < green light < red light < infrared light < radio waves
16. a) ν =
s
m 10 x 00.3
m 1
Å 10
Å 0.01
1810 = 3.00 x 1017 s-1
b) λ =
s
m 10 x 00.3
s 10 x .67
18
1-10 = 0.0039 m (3.9 mm)
c) (a) = yes, (b) = no
d) distance = (25.5 fs) 1 300 s
10 fs
x 10 m
s
15
8
. = 7.65 x 10-6 m
22. a) ν =
s
m 10 x 003
m 1
nm 10
nm 895
189 .= 5.09 x 1014 s-1
b) E = (6.6262 x 10-34 J•s)(5.09 x 1014 s-1)
mol
photons 10 x 0226 23
.(0.10 mol) = 2.03 x 104 J
c) E = (6.6262 x 10-34 J•s)
s
m 10 x 003
m 1
nm 10
nm 895
189 . = 3.37 x 10-19 J/photon
d) Probably not. Each element has a unique set of lines. It would be random chance that
strontium had a line at 589 nm.
26. ν =
h
E =
( )
s
•
J
10
x
626
.
6
molecules 10 x 6.022
mol 1
kJ
J 1000
kJ/mol 941
34-
23
= 2.36 x 1015 s-1
λ =
s
m 10 x .9982
s 10 x 36.2
18
1-15 = 1.27 x 10-7 m (127 nm = ultraviolet light)
34. When an electron moves to a higher energy state, the positively charged nucleus and the
negatively charged electron move away from each other. It requires the input of energy to
separate oppositely charged particles. The reverse is true when an electron falls from a
higher energy state to a lower one.
a) absorbed b) emitted c) absorbed
36. a) ν41 =
⋅2234-
-18
4
1
-
1
1
sJ 10 x 6.626
J 10 x 2.18 = 3.08 x 1015 s-1
