UV,
λ = 250 nm = 250 x 10
S
9
m
8
_34
23
_9
c
3.00 x
m / s
10
E = h
= (6.626 x
J
s)
(6.022 x
/ mol)
10
10
250 x
m
10
�
�
�
�
�
λ
�
�
E = 4.79 x 10
5
J/mol = 479 kJ/mol
X ray,
λ = 5.49 nm = 5.49 x 10
S
9
m
8
_34
23
_9
c
3.00 x
m / s
10
E = h
= (6.626 x
J
s)
(6.022 x
/ mol)
10
10
5.49 x
m
10
�
�
�
�
�
λ
�
�
E = 2.18 x 10
7
J/mol = 2.18 x 10
4
kJ/mol
5.9
_34
_1
2
h
6.626
x
kg
10
s
m
=
=
mv
(1150
kg)(24.6
m/s)
λ
= 2.34 x 10
S
38
m
5.10
(Δx)(Δmv)
h
4
5
π
;
uncertainty in velocity = (45 m/s)(0.02) = 0.9 m/s
_34
_1
2
_34
h
6.626 x
kg
10
s
m
x
=
= 5 x
m
10
4
(
mv)
4
(0.120
kg)(0.9
m/s)
∆
π ∆
π
5.11
n
l
m
l
Orbital
No. of Orbitals
5
0
0
5s
1
1
S
1, 0, +1
5p
3
2
S
2,
S
1, 0, +1, +2
5d
5
3
S
3,
S
2,
S
1, 0, +1, +2, +3
5f
7
4
S
4,
S
3,
S
2,
S
1, 0, +1, +2, +3, +4
5g
9
There are 25 possible orbitals in the fifth shell.
5.12
(a) 2p
(b) 4f
(c) 3d
5.13
(a)
3s orbital: n = 3,
l
= 0, m
l
= 0
(b)
2p orbital: n = 2,
l
= 1, m
l
=
S
1, 0, +1
(c)
4d orbital: n = 4,
l
= 2, m
l
=
S
2,
S
1, 0, +1, +2
5.14
The g orbitals have four nodal planes.
5.15
The figure represents a d orbital, n = 4 and
l
= 2.
5.16
m = 1, n = 5;
R = 1.097 x 10
S
2
nm
S
1
2
2
1
1
1
= R
_
m
n
�
�
�
�
λ
�
�
;
2
2
1
1
1
= R
_
1
�
�
�
�
λ
�
�
;
1
1
= R
1
��
��
λ
��
= 1.097 x 10
S
2
nm
S
1
;
λ = 91.2 nm
E =
8
_34
23
_9
3.00
x
m/s
10
(6.626
x
J
s)
(6.022
x
/ mol)
10
10
91.2
x
m
10
�
�
�
�
�
�
�
E = 1.31 x 10
6
J/mol = 1.31 x 10
3
kJ/mol
5.17
(a)
Ti,
1s
2
2s
2
2p
6
3s
2
3p
6
4s
2
3d
2
or
[Ar] 4s
2
3d
2
[Ar]
5
5
5
__
__
__
104