164 Chapter 7
) (
)
(
)
(
(
)
Π =
=
⋅
+
=
L atm
nMRT
0.188172 M 0.0821
25.0 273 K
4.6 atm
⋅
mol K
⎛
⎞
760 torr
(
)(
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
3
moles
L atm
0.188172
0.0821
25.0 273 K
3.5 10 torr
⎜
⎟
⋅
L
mol K
1 atm
⎝
⎠
⎛
⎞
760 mmHg
(
)(
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
3
moles
L atm
0.188172
0.0821
25.0 273 K
3.5 10 mmHg
⎜
⎟
⋅
L
mol K
1 atm
⎝
⎠
Δ =
t
n M
K
7.77
b
b
(
)
( )
° =
°
C
0.19 C
n 0.52
(0.122 M)
M
=
n
3
) (
)
(
)
(
(
)
Π =
=
⋅
+
=
L atm
nMRT
3 0.122 M 0.0821
25.0 273 K
8.95 atm
⋅
mol K
⎛
⎞
760 torr
(
)(
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
3
moles
L atm
3 0.122
0.0821
25.0 273 K
6.81 10 torr
⎜
⎟
⋅
L
mol K
1 atm
⎝
⎠
⎛
⎞
760 mmHg
(
)(
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
3
moles
L atm
3 0.122
0.0821
25.0 273 K
6.81 10 mmHg
⎜
⎟
⋅
L
mol K
1 atm
⎝
⎠
(
)
(
)
⎛
⎞
⎛
⎞
7.78
1 mole NaCl
1 mole KCl
5.30 g NaCl
8.20 g KCl
⎜
⎟
⎜
⎟
58.5 g NaCl
74.6 g KCl
=
+
=
osmol
nM
2
2
0.534714
(
)
(
)
⎜
⎟
⎜
⎟
L
1 L
1 L
750 mL
750 mL
⎝
⎠
⎝
⎠
1000 mL
1000 mL
(
)(
)
(
)
(
)
Π =
=
+
=
⋅
osmol
L atm
nMRT
0.534714
0.0821
25.0 273 K
13.1 atm
⋅
L
mol K
⎛
⎞
760 torr
(
)(
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
3
osmol
L atm
0.534714
0.0821
25.0 273 K
9.94 10 torr
⎜
⎟
⋅
L
mol K
1 atm
⎝
⎠
⎛
⎞
760 mmHg
(
)(
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
3
osmol
L atm
0.534714
0.0821
25.0 273 K
9.94 10 mmHg
⎜
⎟
⋅
L
mol K
1 atm
⎝
⎠
(
)
⎛
⎞
7.79
1 mole C H O
245.0 g C H O
2
6
2
⎜
⎟ =
2
6
2
62.1 g C H O
2
6
2
3.945 M
⎜
⎟
1 L
⎝
⎠
(
) (
)
(
)
(
)
Π =
=
+
=
⋅
L atm
nMRT 1 3.945 M 0.0821
25.0 273 K
96.5 atm
⋅
mol K
⎛
⎞
760 torr
(
) (
)
(
)
(
)
=
⋅
+
=
×
⎜
⎟
4
L atm
1 3.945 M 0.0821
25.0 273 K
7.34 10 torr
⎜
⎟
⋅
mol K
⎝
1 atm
⎠
⎛
⎞
760 mmHg
(
) (
)
(
)
(
)
=
+
=
×
⋅
4
⎜
⎟
L atm
1 3.945 M 0.0821
25.0 273 K
7.34 10 mmHg
⎜
⎟
⋅
mol K
1 atm
⎝
⎠
7.80
The water will flow from the 5.00% sugar solution into the 10.0% sugar solution because the
5.00% sugar solution contains more solvent (water) than the 10.0% sugar solution does. The
10.0% sugar solution will become diluted as osmosis takes place. Allowed enough time, the
two solutions will eventually have the same concentration.
COLLOIDS (SECTIONS 7.8)
7.81
A dispersing medium is similar to the solvent of a solution. A dispersed phase is similar to
the solute of a solution. A colloidal emulsifying agent is used to reduce the size of dispersed
phase particles, making a more stable colloid.